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707.463
Ground state properties of a homogeneous 2D system of Bosons with dipolar interactions
The ground-state phase properties of a two-dimensional Bose system with dipole-dipole interactions is studied by means of quantum Monte Carlo techniques. Limitations of mean-field theory in a two-dimensional geometry are discussed. A quantum phase transition from gas to solid is found. Crystal is tested for existence of a supersolid in the vicinity of the phase transition. Existence of mesoscopic analogue of the off-diagonal long-range order is shown in the one-body density matrix in a finite-size crystal. Non-zero superfluid fraction is found in a finite-size crystal, the signal being dramatically increased in presence of vacancies.
cond-mat.other
the groundstate phase properties of a twodimensional bose system with dipoledipole interactions is studied by means of quantum monte carlo techniques limitations of meanfield theory in a twodimensional geometry are discussed a quantum phase transition from gas to solid is found crystal is tested for existence of a supersolid in the vicinity of the phase transition existence of mesoscopic analogue of the offdiagonal longrange order is shown in the onebody density matrix in a finitesize crystal nonzero superfluid fraction is found in a finitesize crystal the signal being dramatically increased in presence of vacancies
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707.4631
Measurements of the form-factors slopes of KL -> pi mu nu decay with the KLOE Detector
We present a measurement of the K-$\pi$ form-factor parameters for the decay \klpmn. We use 328 pb^{-1} of data collected in 2001 and 2002, corresponding to $\sim $ 1.8 million \semil events. Measurements of semileptonic form factors provide information about the dynamics of the strong interaction and are necessary for evaluation of the phase-space integral $I^\mu_K$ needed to measure the CKM matrix element $|V_{us}|$ for \klpmn decays and to test lepton universality in kaon decays. Using a new parameterization for the vector and scalar form factors we find $\lambda_+$=\pt(25.6\pm 0.4_{\rm{stat.}}\pm 0.3_{\rm{syst.}}),-3, and $\lambda_0$=\pt(14.3\pm 1.7_{\rm{stat.}}\pm 1.1_{\rm{stat.}}),-3,. In the more usual quadratic expansion of the form factor the above result is corresponds to $\lambda'_+=\lambda_+$, $\lambda''_+=2\lambda^2_+$, $\lambda'_0=\lambda_0$ and $\lambda''_0=(\lambda^2_0+0.000416)/2$. Our results, together with recent lattice calculations of $f_\pi$, $f_K$ and $f(0)$, satisfy the Callan-Trieman relation.
hep-ex
we present a measurement of the kpi formfactor parameters for the decay klpmn we use 328 pb1 of data collected in 2001 and 2002 corresponding to sim 18 million semil events measurements of semileptonic form factors provide information about the dynamics of the strong interaction and are necessary for evaluation of the phasespace integral imu_k needed to measure the ckm matrix element v_us for klpmn decays and to test lepton universality in kaon decays using a new parameterization for the vector and scalar form factors we find lambda_pt256pm 04_rmstatpm 03_rmsyst3 and lambda_0pt143pm 17_rmstatpm 11_rmstat3 in the more usual quadratic expansion of the form factor the above result is corresponds to lambda_lambda_ lambda_2lambda2_ lambda_0lambda_0 and lambda_0lambda2_000004162 our results together with recent lattice calculations of f_pi f_k and f0 satisfy the callantrieman relation
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707.4632
Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials
We develop direct and inverse scattering theory for one-dimensional Schroedinger operators with steplike potentials which are asymptotically close to different finite-gap periodic potentials on different half-axes. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite second moment.
math.SP math-ph math.MP
we develop direct and inverse scattering theory for onedimensional schroedinger operators with steplike potentials which are asymptotically close to different finitegap periodic potentials on different halfaxes we give a complete characterization of the scattering data which allow unique solvability of the inverse scattering problem in the class of perturbations with finite second moment
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707.4633
Generating trees for permutations avoiding generalized patterns
We construct generating trees with one, two, and three labels for some classes of permutations avoiding generalized patterns of length 3 and 4. These trees are built by adding at each level an entry to the right end of the permutation, which allows us to incorporate the adjacency condition about some entries in an occurrence of a generalized pattern. We use these trees to find functional equations for the generating functions enumerating these classes of permutations with respect to different parameters. In several cases we solve them using the kernel method and some ideas of Bousquet-M\'elou. We obtain refinements of known enumerative results and find new ones.
math.CO
we construct generating trees with one two and three labels for some classes of permutations avoiding generalized patterns of length 3 and 4 these trees are built by adding at each level an entry to the right end of the permutation which allows us to incorporate the adjacency condition about some entries in an occurrence of a generalized pattern we use these trees to find functional equations for the generating functions enumerating these classes of permutations with respect to different parameters in several cases we solve them using the kernel method and some ideas of bousquetmelou we obtain refinements of known enumerative results and find new ones
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707.4634
A Study of the Radiative KL->pi nu e (g) Decay and Possible Osservation of Direct Photon Emission with the KLOE Detector
We present the measurement of the ratio R = \frac{\Gamma(\keg;\Estar>30\mev,\qstar>20^\circ)}{\Gamma(\kegf)} and a first measurement of the direct emission contribution for the same process. We use 328 pb^{-1} of data collected at \kloe in 2001 and 2002, corresponding to about 3 million of \kegf events and about 9 thousand \keg radiative events. Our result is R= (924 \pm 23_{stat} \pm 16_{syst})10^{-5} for the branching ratio and X =-2.3\pm 1.3_{stat}\pm 1.4_{syst} for the parameter describing direct emission.
hep-ex
we present the measurement of the ratio r fracgammakegestar30mevqstar20circgammakegf and a first measurement of the direct emission contribution for the same process we use 328 pb1 of data collected at kloe in 2001 and 2002 corresponding to about 3 million of kegf events and about 9 thousand keg radiative events our result is r 924 pm 23_stat pm 16_syst105 for the branching ratio and x 23pm 13_statpm 14_syst for the parameter describing direct emission
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707.4635
Ionized and neutral gas in the peculiar star/cluster complex in NGC 6946
The characteristics of ionized and HI gas in the peculiar star/cluster complex in NGC 6946, obtained with the 6-m telescope (BTA) SAO RAS, the Gemini North telescope, and the Westerbork Synthesis Radio Telescope (WSRT), are presented. The complex is unusual as hosting a super star cluster, the most massive known in an apparently non-interacting giant galaxy. It contains a number of smaller clusters and is bordered by a sharp C-shaped rim. We found that the complex is additionally unusual in having peculiar gas kinematics. The velocity field of the ionized gas reveals a deep oval minimum, ~300 pc in size, centered 7" east of the supercluster. The Vr of the ionized gas in the dip center is 100 km/s lower than in its surroundings, and emission lines within the dip appear to be shock excited. This dip is near the center of an HI hole and a semi-ring of HII regions. The HI (and less certainly, HII) velocity fields reveal expansion, with the velocity reaching ~30 km/s at a distance about 300 pc from the center of expansion, which is near the deep minimum position. The super star cluster is at the western rim of the minimum. The sharp western rim of the whole complex is plausibly a manifestation of a regular dust arc along the complex edge. Different hypotheses about the complex and the Vr depression origins are discussed, including a HVC/dark mini-halo impact, a BCD galaxy merging, and a gas outflow due to release of energy from the supercluster stars.
astro-ph
the characteristics of ionized and hi gas in the peculiar starcluster complex in ngc 6946 obtained with the 6m telescope bta sao ras the gemini north telescope and the westerbork synthesis radio telescope wsrt are presented the complex is unusual as hosting a super star cluster the most massive known in an apparently noninteracting giant galaxy it contains a number of smaller clusters and is bordered by a sharp cshaped rim we found that the complex is additionally unusual in having peculiar gas kinematics the velocity field of the ionized gas reveals a deep oval minimum 300 pc in size centered 7 east of the supercluster the vr of the ionized gas in the dip center is 100 kms lower than in its surroundings and emission lines within the dip appear to be shock excited this dip is near the center of an hi hole and a semiring of hii regions the hi and less certainly hii velocity fields reveal expansion with the velocity reaching 30 kms at a distance about 300 pc from the center of expansion which is near the deep minimum position the super star cluster is at the western rim of the minimum the sharp western rim of the whole complex is plausibly a manifestation of a regular dust arc along the complex edge different hypotheses about the complex and the vr depression origins are discussed including a hvcdark minihalo impact a bcd galaxy merging and a gas outflow due to release of energy from the supercluster stars
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707.4636
Coherent spin rotations in open driven double quantum dots
We analyze the charge and spin dynamics in a DC biased double quantum dot driven by crossed DC and AC magnetic fields. In this configuration, spatial delocalization due to inter-dot tunnel competes with intra-dot spin rotations induced by the time dependent magnetic field, giving rise to a complicated time dependent behavior of the tunnelling current. When the Zeeman splitting has the same value in both dots and spin flip is negligible, the electrons remain in the triplet subspace (dark subspace) performing coherent spin rotations and the current does not flow. This electronic trapping is removed either by finite spin relaxation or when the Zeeman splitting is different in each quantum dot. In the first case, our results show that measuring the current will allow to get information on the spin relaxation time. In the last case, we will show that applying a resonant bichromatic magnetic field, the electrons become trapped in a coherent superposition of states and electronic transport is blocked. Then, manipulating AC magnetic fields, electrons are driven to perform coherent spin rotations which can be unambiguously detected by direct measurement of the tunneling current.
cond-mat.mes-hall
we analyze the charge and spin dynamics in a dc biased double quantum dot driven by crossed dc and ac magnetic fields in this configuration spatial delocalization due to interdot tunnel competes with intradot spin rotations induced by the time dependent magnetic field giving rise to a complicated time dependent behavior of the tunnelling current when the zeeman splitting has the same value in both dots and spin flip is negligible the electrons remain in the triplet subspace dark subspace performing coherent spin rotations and the current does not flow this electronic trapping is removed either by finite spin relaxation or when the zeeman splitting is different in each quantum dot in the first case our results show that measuring the current will allow to get information on the spin relaxation time in the last case we will show that applying a resonant bichromatic magnetic field the electrons become trapped in a coherent superposition of states and electronic transport is blocked then manipulating ac magnetic fields electrons are driven to perform coherent spin rotations which can be unambiguously detected by direct measurement of the tunneling current
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707.4637
Special Fuzzy Matrices for Social Scientists
This book introduces special classes of Fuzzy and Neutrosophic matrices. These special classes of matrices are used in the construction of multi-expert special fuzzy models using FCM, FRM and FRE and their Neutorosophic analogues (simultaneous or otherwise, according to ones need). Using the six basic models, we have constructed a multi-expert multi-model called the Super Special Hexagonal Fuzzy and Neutrosophic model. Given any special input vector, these models can give the resultant using special operations. When coupled with computer programming, these operations can give the solution within a reasonable time period. Such multi-expert multi-model systems are not only a boon to social scientists, but also to anyone who wants to use Fuzzy or Neutrosophic models.
math.GM
this book introduces special classes of fuzzy and neutrosophic matrices these special classes of matrices are used in the construction of multiexpert special fuzzy models using fcm frm and fre and their neutorosophic analogues simultaneous or otherwise according to ones need using the six basic models we have constructed a multiexpert multimodel called the super special hexagonal fuzzy and neutrosophic model given any special input vector these models can give the resultant using special operations when coupled with computer programming these operations can give the solution within a reasonable time period such multiexpert multimodel systems are not only a boon to social scientists but also to anyone who wants to use fuzzy or neutrosophic models
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707.4638
Indication of multiscaling in the volatility return intervals of stock markets
The distribution of the return intervals $\tau$ between volatilities above a threshold $q$ for financial records has been approximated by a scaling behavior. To explore how accurate is the scaling and therefore understand the underlined non-linear mechanism, we investigate intraday datasets of 500 stocks which consist of the Standard & Poor's 500 index. We show that the cumulative distribution of return intervals has systematic deviations from scaling. We support this finding by studying the m-th moment $\mu_m \equiv <(\tau/<\tau>)^m>^{1/m}$, which show a certain trend with the mean interval $<\tau>$. We generate surrogate records using the Schreiber method, and find that their cumulative distributions almost collapse to a single curve and moments are almost constant for most range of $<\tau>$. Those substantial differences suggest that non-linear correlations in the original volatility sequence account for the deviations from a single scaling law. We also find that the original and surrogate records exhibit slight tendencies for short and long $<\tau>$, due to the discreteness and finite size effects of the records respectively. To avoid as possible those effects for testing the multiscaling behavior, we investigate the moments in the range $10<<\tau>\leq100$, and find the exponent $\alpha$ from the power law fitting $\mu_m\sim<\tau>^\alpha$ has a narrow distribution around $\alpha\neq0$ which depend on m for the 500 stocks. The distribution of $\alpha$ for the surrogate records are very narrow and centered around $\alpha=0$. This suggests that the return interval distribution exhibit multiscaling behavior due to the non-linear correlations in the original volatility.
q-fin.ST physics.soc-ph
the distribution of the return intervals tau between volatilities above a threshold q for financial records has been approximated by a scaling behavior to explore how accurate is the scaling and therefore understand the underlined nonlinear mechanism we investigate intraday datasets of 500 stocks which consist of the standard poors 500 index we show that the cumulative distribution of return intervals has systematic deviations from scaling we support this finding by studying the mth moment mu_m equiv tautaum1m which show a certain trend with the mean interval tau we generate surrogate records using the schreiber method and find that their cumulative distributions almost collapse to a single curve and moments are almost constant for most range of tau those substantial differences suggest that nonlinear correlations in the original volatility sequence account for the deviations from a single scaling law we also find that the original and surrogate records exhibit slight tendencies for short and long tau due to the discreteness and finite size effects of the records respectively to avoid as possible those effects for testing the multiscaling behavior we investigate the moments in the range 10tauleq100 and find the exponent alpha from the power law fitting mu_msimtaualpha has a narrow distribution around alphaneq0 which depend on m for the 500 stocks the distribution of alpha for the surrogate records are very narrow and centered around alpha0 this suggests that the return interval distribution exhibit multiscaling behavior due to the nonlinear correlations in the original volatility
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707.4639
About Bianchi I with VSL
In this paper we study how to attack, through different techniques, a perfect fluid Bianchi I model with variable G,c and Lambda, but taking into account the effects of a $c$-variable into the curvature tensor. We study the model under the assumption,div(T)=0. These tactics are: Lie groups method (LM), imposing a particular symmetry, self-similarity (SS), matter collineations (MC) and kinematical self-similarity (KSS). We compare both tactics since they are quite similar (symmetry principles). We arrive to the conclusion that the LM is too restrictive and brings us to get only the flat FRW solution. The SS, MC and KSS approaches bring us to obtain all the quantities depending on \int c(t)dt. Therefore, in order to study their behavior we impose some physical restrictions like for example the condition q<0 (accelerating universe). In this way we find that $c$ is a growing time function and Lambda is a decreasing time function whose sing depends on the equation of state, w, while the exponents of the scale factor must satisfy the conditions $\sum_{i=1}^{3}\alpha_{i}=1$ and $\sum_{i=1}^{3}\alpha_{i}^{2}<1,$ $\forall\omega$, i.e. for all equation of state$,$ relaxing in this way the Kasner conditions. The behavior of $G$ depends on two parameters, the equation of state $\omega$ and $\epsilon,$ a parameter that controls the behavior of $c(t),$ therefore $G$ may be growing or decreasing.We also show that through the Lie method, there is no difference between to study the field equations under the assumption of a $c-$var affecting to the curvature tensor which the other one where it is not considered such effects.Nevertheless, it is essential to consider such effects in the cases studied under the SS, MC, and KSS hypotheses.
gr-qc
in this paper we study how to attack through different techniques a perfect fluid bianchi i model with variable gc and lambda but taking into account the effects of a cvariable into the curvature tensor we study the model under the assumptiondivt0 these tactics are lie groups method lm imposing a particular symmetry selfsimilarity ss matter collineations mc and kinematical selfsimilarity kss we compare both tactics since they are quite similar symmetry principles we arrive to the conclusion that the lm is too restrictive and brings us to get only the flat frw solution the ss mc and kss approaches bring us to obtain all the quantities depending on int ctdt therefore in order to study their behavior we impose some physical restrictions like for example the condition q0 accelerating universe in this way we find that c is a growing time function and lambda is a decreasing time function whose sing depends on the equation of state w while the exponents of the scale factor must satisfy the conditions sum_i13alpha_i1 and sum_i13alpha_i21 forallomega ie for all equation of state relaxing in this way the kasner conditions the behavior of g depends on two parameters the equation of state omega and epsilon a parameter that controls the behavior of ct therefore g may be growing or decreasingwe also show that through the lie method there is no difference between to study the field equations under the assumption of a cvar affecting to the curvature tensor which the other one where it is not considered such effectsnevertheless it is essential to consider such effects in the cases studied under the ss mc and kss hypotheses
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707.464
Galaxy Groups in the SDSS DR4: I. The Catalogue and Basic Properties
We use a modified version of the halo-based group finder developed by Yang et al. to select galaxy groups from the Sloan Digital Sky Survey (SDSS DR4). In the first step, a combination of two methods is used to identify the centers of potential groups and to estimate their characteristic luminosity. Using an iterative approach, the adaptive group finder then uses the average mass-to-light ratios of groups, obtained from the previous iteration, to assign a tentative mass to each group. This mass is then used to estimate the size and velocity dispersion of the underlying halo that hosts the group, which in turn is used to determine group membership in redshift space. Finally, each individual group is assigned two different halo masses: one based on its characteristic luminosity, and the other based on its characteristic stellar mass. Applying the group finder to the SDSS DR4, we obtain 301237 groups in a broad dynamic range, including systems of isolated galaxies. We use detailed mock galaxy catalogues constructed for the SDSS DR4 to test the performance of our group finder in terms of completeness of true members, contamination by interlopers, and accuracy of the assigned masses. This paper is the first in a series and focuses on the selection procedure, tests of the reliability of the group finder, and the basic properties of the group catalogue (e.g. the mass-to-light ratios, the halo mass to stellar mass ratios, etc.). The group catalogues including the membership of the groups are available at http://gax.shao.ac.cn/data/Group.html and http://www.astro.umass.edu/~xhyang/Group.html
astro-ph
we use a modified version of the halobased group finder developed by yang et al to select galaxy groups from the sloan digital sky survey sdss dr4 in the first step a combination of two methods is used to identify the centers of potential groups and to estimate their characteristic luminosity using an iterative approach the adaptive group finder then uses the average masstolight ratios of groups obtained from the previous iteration to assign a tentative mass to each group this mass is then used to estimate the size and velocity dispersion of the underlying halo that hosts the group which in turn is used to determine group membership in redshift space finally each individual group is assigned two different halo masses one based on its characteristic luminosity and the other based on its characteristic stellar mass applying the group finder to the sdss dr4 we obtain 301237 groups in a broad dynamic range including systems of isolated galaxies we use detailed mock galaxy catalogues constructed for the sdss dr4 to test the performance of our group finder in terms of completeness of true members contamination by interlopers and accuracy of the assigned masses this paper is the first in a series and focuses on the selection procedure tests of the reliability of the group finder and the basic properties of the group catalogue eg the masstolight ratios the halo mass to stellar mass ratios etc the group catalogues including the membership of the groups are available at httpgaxshaoaccndatagrouphtml and httpwwwastroumasseduxhyanggrouphtml
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707.4641
Using rotation rates to probe age spreads in the Orion Nebula Cluster
The radii of young pre-main-sequence (PMS) stars in the Orion Nebula Cluster (ONC) have been estimated using their rotation periods and projected equatorial velocities. Stars at a given effective temperature have a spread in their geometrically estimated projected radii that is larger than can be accounted for with a coeval model, observational uncertainties and randomly oriented rotation axes. It is shown that the required dispersion in radius (a factor of 2-3 full width half maximum) can be modelled in terms of a spread in stellar ages larger than the median age of the cluster, although the detailed star formation history cannot be uniquely determined using present data. This technique is relatively free from systematic uncertainties (binarity, extinction, variability, distance) that have hampered previous studies of the ONC star formation history using the conventional Hertzsprung-Russell diagram. However, the current ONC rotational data are biased against low luminosity objects, so the deduced dispersions in radius and inferred age are probably underestimates. In particular, the ages of a tail of PMS stars that appear to be >=10Myr old in the Hertzsprung-Russell diagram cannot be verified with present data. If projected equatorial velocities were measured for these objects it could easily be checked whether their radii are correspondingly smaller than the bulk of the ONC population.
astro-ph
the radii of young premainsequence pms stars in the orion nebula cluster onc have been estimated using their rotation periods and projected equatorial velocities stars at a given effective temperature have a spread in their geometrically estimated projected radii that is larger than can be accounted for with a coeval model observational uncertainties and randomly oriented rotation axes it is shown that the required dispersion in radius a factor of 23 full width half maximum can be modelled in terms of a spread in stellar ages larger than the median age of the cluster although the detailed star formation history cannot be uniquely determined using present data this technique is relatively free from systematic uncertainties binarity extinction variability distance that have hampered previous studies of the onc star formation history using the conventional hertzsprungrussell diagram however the current onc rotational data are biased against low luminosity objects so the deduced dispersions in radius and inferred age are probably underestimates in particular the ages of a tail of pms stars that appear to be 10myr old in the hertzsprungrussell diagram cannot be verified with present data if projected equatorial velocities were measured for these objects it could easily be checked whether their radii are correspondingly smaller than the bulk of the onc population
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707.4642
Subnanosecond Ellipticity Detector for Laser Radiation (second version, extended)
Two types of room temperature detectors of terahertz laser radiation have been developed which allow in an all-electric manner to determine the plane of polarization of linearly polarized radiation and the Stokes parameters of elliptically polarized radiation, respectively. The operation of the detectors is based on photogalvanic effects in semiconductor quantum well structures of low symmetry. The photogalvanic effects have nanoseconds time constants at room temperature making a high time resolution of the polarization detectors possible.
cond-mat.mtrl-sci
two types of room temperature detectors of terahertz laser radiation have been developed which allow in an allelectric manner to determine the plane of polarization of linearly polarized radiation and the stokes parameters of elliptically polarized radiation respectively the operation of the detectors is based on photogalvanic effects in semiconductor quantum well structures of low symmetry the photogalvanic effects have nanoseconds time constants at room temperature making a high time resolution of the polarization detectors possible
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707.4643
Active Set and EM Algorithms for Log-Concave Densities Based on Complete and Censored Data
We develop an active set algorithm for the maximum likelihood estimation of a log-concave density based on complete data. Building on this fast algorithm, we indidate an EM algorithm to treat arbitrarily censored or binned data.
stat.ME stat.CO
we develop an active set algorithm for the maximum likelihood estimation of a logconcave density based on complete data building on this fast algorithm we indidate an em algorithm to treat arbitrarily censored or binned data
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707.4644
Renormalization Group and Black Hole Production in Large Extra Dimensions
It has been suggested that the existence of a non-Gaussian fixed point in general relativity might cure the ultraviolet problems of this theory. Such a fixed point is connected to an effective running of the gravitational coupling. We calculate the effect of the running gravitational coupling on the black hole production cross section in models with large extra dimensions.
hep-ph
it has been suggested that the existence of a nongaussian fixed point in general relativity might cure the ultraviolet problems of this theory such a fixed point is connected to an effective running of the gravitational coupling we calculate the effect of the running gravitational coupling on the black hole production cross section in models with large extra dimensions
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707.4645
OB Associations, Wolf-Rayet Stars, and the Origin of Galactic Cosmic Rays
We have measured the isotopic abundances of neon and a number of other species in the galactic cosmic rays (GCRs) using the Cosmic Ray Isotope Spectrometer (CRIS) aboard the ACE spacecraft. Our data are compared to recent results from two-component Wolf-Rayet (WR) models. The three largest deviations of galactic cosmic ray isotope ratios from solar-system ratios predicted by these models, 12C/16O, 22Ne/20Ne, and 58Fe/56Fe, are very close to those observed. All of the isotopic ratios that we have measured are consistent with a GCR source consisting of ~20% of WR material mixed with ~80% material with solar-system composition. Since WR stars are evolutionary products of OB stars, and most OB stars exist in OB associations that form superbubbles, the good agreement of our data with WR models suggests that OB associations within superbubbles are the likely source of at least a substantial fraction of GCRs. In previous work it has been shown that the primary 59Ni (which decays only by electron-capture) in GCRs has decayed, indicating a time interval between nucleosynthesis and acceleration of >10^5 yr.In this paper we suggest a scenario that should allow much of the 59Ni to decay in the OB association environment and conclude that the hypothesis of the OB association origin of cosmic rays appears to be viable.
astro-ph
we have measured the isotopic abundances of neon and a number of other species in the galactic cosmic rays gcrs using the cosmic ray isotope spectrometer cris aboard the ace spacecraft our data are compared to recent results from twocomponent wolfrayet wr models the three largest deviations of galactic cosmic ray isotope ratios from solarsystem ratios predicted by these models 12c16o 22ne20ne and 58fe56fe are very close to those observed all of the isotopic ratios that we have measured are consistent with a gcr source consisting of 20 of wr material mixed with 80 material with solarsystem composition since wr stars are evolutionary products of ob stars and most ob stars exist in ob associations that form superbubbles the good agreement of our data with wr models suggests that ob associations within superbubbles are the likely source of at least a substantial fraction of gcrs in previous work it has been shown that the primary 59ni which decays only by electroncapture in gcrs has decayed indicating a time interval between nucleosynthesis and acceleration of 105 yrin this paper we suggest a scenario that should allow much of the 59ni to decay in the ob association environment and conclude that the hypothesis of the ob association origin of cosmic rays appears to be viable
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707.4646
On admissible rank one local systems
A rank one local system $\LL$ on a smooth complex algebraic variety $M$ is 1-admissible if the dimension of the first cohomology group $H^1(M,\LL)$ can be computed from the cohomology algebra $H^*(M,\C)$ in degrees $\leq 2$. Under the assumption that $M$ is 1-formal, we show that all local systems, except finitely many, on a non-translated irreducible component $W$ of the first characteristic variety $\V_1(M)$ are 1-admissible, see Proposition 3.1. The same result holds for local systems on a translated component $W$, but now $H^*(M,\C)$ should be replaced by $H^*(M_0,\C)$, where $M_0$ is a Zariski open subset obtained from $M$ by deleting some hypersurfaces determined by the translated component $W$, see Theorem 4.3.
math.AG math.AT
a rank one local system ll on a smooth complex algebraic variety m is 1admissible if the dimension of the first cohomology group h1mll can be computed from the cohomology algebra hmc in degrees leq 2 under the assumption that m is 1formal we show that all local systems except finitely many on a nontranslated irreducible component w of the first characteristic variety v_1m are 1admissible see proposition 31 the same result holds for local systems on a translated component w but now hmc should be replaced by hm_0c where m_0 is a zariski open subset obtained from m by deleting some hypersurfaces determined by the translated component w see theorem 43
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707.4647
Comparing a model of cosmic ray production in the supernova remnant RX J1713.7-3946 with observations
Explicitly time-dependent, nonlinear kinetic theory of cosmic ray (CR) acceleration in supernova remnants (SNRs) has been employed to investigate the properties of SNR RX J1713.7-3946. Observations of the nonthermal radio and X-ray emission spectra as well as earlier H.E.S.S. measurements of the very high energy $\gamma$-ray emission were used to constrain the astronomical and the particle acceleration parameters of the system. The model assumes that the object was a core collapse supernova (SN) with a massive progenitor, has an age of $\approx 1600$ yr and is at a distance of $\approx 1$ kpc. It is shown that an efficient production of nuclear CRs, leading to strong shock modification and a large downstream magnetic field strength $B_{\mathrm{d}}\sim100$ $\mu$G, can reproduce the observed synchrotron emission from radio to X-ray frequencies together with the \gr spectral characteristics as observed by the H.E.S.S. telescopes. Small-scale filamentary structures observed in nonthermal X-rays provide empirical confirmation for this field amplification scenario which leads to a strong depression of the inverse Compton and Bremsstrahlung fluxes. The results are compared with the latest H.E.S.S. observations.
astro-ph
explicitly timedependent nonlinear kinetic theory of cosmic ray cr acceleration in supernova remnants snrs has been employed to investigate the properties of snr rx j171373946 observations of the nonthermal radio and xray emission spectra as well as earlier hess measurements of the very high energy gammaray emission were used to constrain the astronomical and the particle acceleration parameters of the system the model assumes that the object was a core collapse supernova sn with a massive progenitor has an age of approx 1600 yr and is at a distance of approx 1 kpc it is shown that an efficient production of nuclear crs leading to strong shock modification and a large downstream magnetic field strength b_mathrmdsim100 mug can reproduce the observed synchrotron emission from radio to xray frequencies together with the gr spectral characteristics as observed by the hess telescopes smallscale filamentary structures observed in nonthermal xrays provide empirical confirmation for this field amplification scenario which leads to a strong depression of the inverse compton and bremsstrahlung fluxes the results are compared with the latest hess observations
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707.4648
Quasiparticle bands in cuprates by quantum chemical methods: towards an ab initio description of strong electron correlations
Realistic electronic-structure calculations for correlated Mott insulators are notoriously hard. Here we present an ab initio multiconfiguration scheme that adequately describes strong correlation effects involving Cu 3d and O 2p electrons in layered cuprates. In particular, the O 2p states giving rise to the Zhang-Rice band are explicitly considered. Renormalization effects due to nonlocal spin interactions are also treated consistently. We show that the dispersion of the lowest band observed in photoemission is reproduced with quantitative accuracy. Additionally, the evolution of the Fermi surface with doping follows directly from our ab initio data. Our results thus open a new avenue for the first-principles investigation of the electronic structure of correlated Mott insulators.
cond-mat.str-el cond-mat.supr-con
realistic electronicstructure calculations for correlated mott insulators are notoriously hard here we present an ab initio multiconfiguration scheme that adequately describes strong correlation effects involving cu 3d and o 2p electrons in layered cuprates in particular the o 2p states giving rise to the zhangrice band are explicitly considered renormalization effects due to nonlocal spin interactions are also treated consistently we show that the dispersion of the lowest band observed in photoemission is reproduced with quantitative accuracy additionally the evolution of the fermi surface with doping follows directly from our ab initio data our results thus open a new avenue for the firstprinciples investigation of the electronic structure of correlated mott insulators
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707.4649
Implications of Shock Wave Experiments with Precompressed Materials for Giant Planet Interiors
This work uses density functional molecular dynamics simulations of fluid helium at high pressure to examine how shock wave experiments with precompressed samples can help characterizing the interior of giant planets. In particular, we analyze how large of a precompression is needed to probe a certain depth in a planet's gas envelope. We find that precompressions of up to 0.1, 1.0, 10, or 100 GPa are needed to characterized 2.5, 5.9, 18, to 63% of Jupiter's envelope by mass.
cond-mat.mtrl-sci
this work uses density functional molecular dynamics simulations of fluid helium at high pressure to examine how shock wave experiments with precompressed samples can help characterizing the interior of giant planets in particular we analyze how large of a precompression is needed to probe a certain depth in a planets gas envelope we find that precompressions of up to 01 10 10 or 100 gpa are needed to characterized 25 59 18 to 63 of jupiters envelope by mass
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707.465
Secondary resonances of co-orbital motions
The size distribution of the stability region around the Lagrangian point L4 is investigated in the elliptic restricted three-body problem as the function of the mass parameter and the orbital eccentricity of the primaries. It is shown that there are minimum zones in the size distribution of the stability regions, and these zones are connected with secondary resonances between the frequencies of librational motions around L4. The results can be applied to hypothetical Trojan planets for predicting values of the mass parameter and the eccentricity for which such objects can be expected or their existence is less probable.
astro-ph
the size distribution of the stability region around the lagrangian point l4 is investigated in the elliptic restricted threebody problem as the function of the mass parameter and the orbital eccentricity of the primaries it is shown that there are minimum zones in the size distribution of the stability regions and these zones are connected with secondary resonances between the frequencies of librational motions around l4 the results can be applied to hypothetical trojan planets for predicting values of the mass parameter and the eccentricity for which such objects can be expected or their existence is less probable
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707.4651
Comments on the Reliability of Lawson and Hanson's Linear Distance Programming Algorithm: Subroutine LDP
This brief paper: (1) Discusses strategies to generate random test cases that can be used to extensively test any Linear Distance Program (LDP) software. (2) Gives three numerical examples of input cases generated by this strategy that cause problems in the Lawson and Hanson LDP module. (3) Proposes, as a standard matter of acceptable implementation procedures, that (unless it is done internally in the software itself, but, in general, this seems to be much rarer than one would expect) all users should test the returned output from any LDP module for self-consistency since it incurs only a small amount of added computational overhead and it is not hard to do.
cs.MS
this brief paper 1 discusses strategies to generate random test cases that can be used to extensively test any linear distance program ldp software 2 gives three numerical examples of input cases generated by this strategy that cause problems in the lawson and hanson ldp module 3 proposes as a standard matter of acceptable implementation procedures that unless it is done internally in the software itself but in general this seems to be much rarer than one would expect all users should test the returned output from any ldp module for selfconsistency since it incurs only a small amount of added computational overhead and it is not hard to do
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707.4652
Laser tweezers for atomic solitons
We describe a controllable and precise laser tweezers for Bose-Einstein condensates of ultracold atomic gases. In our configuration, a laser beam is used to locally modify the sign of the scattering length in the vicinity of a trapped BEC. The induced attractive interactions between atoms allow to extract and transport a controllable number of atoms. We analyze, through numerical simulations, the number of emitted atoms as a function of the width and intensity of the outcoupling beam. We also study different configurations of our system, as the use of moving beams. The main advantage of using the control laser beam to modify the nonlinear interactions in comparison to the usual way of inducing optical forces, i.e. through linear trapping potentials, is to improve the controllability of the outcoupled solitary wave-packet, which opens new possibilities for engineering macroscopic quantum states.
cond-mat.other
we describe a controllable and precise laser tweezers for boseeinstein condensates of ultracold atomic gases in our configuration a laser beam is used to locally modify the sign of the scattering length in the vicinity of a trapped bec the induced attractive interactions between atoms allow to extract and transport a controllable number of atoms we analyze through numerical simulations the number of emitted atoms as a function of the width and intensity of the outcoupling beam we also study different configurations of our system as the use of moving beams the main advantage of using the control laser beam to modify the nonlinear interactions in comparison to the usual way of inducing optical forces ie through linear trapping potentials is to improve the controllability of the outcoupled solitary wavepacket which opens new possibilities for engineering macroscopic quantum states
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707.4653
Correlation Effects in the Triangular Lattice Single-band System Li_xNbO_2
Superconductivity in hole-doped Li_xNbO_2 has been reported with T_c ~ 5 K in the range 0.45 < x < 0.8. The electronic structure is based on a two-dimensional triangular Nb lattice. The strong trigonal crystal field results in a single Nb d(z^2) band isolated within a wide gap, leading to a single-band triangular lattice system. The isolated, partially filled band has a width W=1.5 eV with dominant second neighbor hopping. To identify possible correlation effects, we apply DMFT(QMC) using on-site Coulomb repulsion U=0-3 eV, and check selected results using determinant QMC. For U as small as 1 eV, the single particle spectrum displays a robust lower Hubbard band, suggesting the importance of correlation effects in Li_xNbO_2 even for U < W. At half-filling (x=0), a Mott transition occurs at U_c ~ 1.5 eV. Coupling between the O A_g phonon displacement and correlation effects is assessed.
cond-mat.supr-con cond-mat.str-el
superconductivity in holedoped li_xnbo_2 has been reported with t_c 5 k in the range 045 x 08 the electronic structure is based on a twodimensional triangular nb lattice the strong trigonal crystal field results in a single nb dz2 band isolated within a wide gap leading to a singleband triangular lattice system the isolated partially filled band has a width w15 ev with dominant second neighbor hopping to identify possible correlation effects we apply dmftqmc using onsite coulomb repulsion u03 ev and check selected results using determinant qmc for u as small as 1 ev the single particle spectrum displays a robust lower hubbard band suggesting the importance of correlation effects in li_xnbo_2 even for u w at halffilling x0 a mott transition occurs at u_c 15 ev coupling between the o a_g phonon displacement and correlation effects is assessed
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707.4654
Multipole expansions for energy and momenta carried by gravitational waves
We present expressions for the energy, linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spin-weighted spherical harmonics decomposition of the Weyl scalar $\Psi_4$. We also show that the expressions derived are equivalent to the common expressions obtained when using a framework based on perturbations of a Schwazschild background. The main idea is to collect together all the different expressions in a uniform and consistent way. The formulae presented here are directly applicable to the calculation of the radiated energy, linear momentum and angular momentum starting from the gravitational waveforms which are typically extracted from numerical simulations.
gr-qc
we present expressions for the energy linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spinweighted spherical harmonics decomposition of the weyl scalar psi_4 we also show that the expressions derived are equivalent to the common expressions obtained when using a framework based on perturbations of a schwazschild background the main idea is to collect together all the different expressions in a uniform and consistent way the formulae presented here are directly applicable to the calculation of the radiated energy linear momentum and angular momentum starting from the gravitational waveforms which are typically extracted from numerical simulations
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707.4655
The intermediate-age globular cluster NGC 1783 in the Large Magellanic Cloud
We present Hubble Space Telescope ACS deep photometry of the intermediate-age globular cluster NGC 1783 in the Large Magellanic Cloud. By using this photometric dataset, we have determined the degree of ellipticity of the cluster ($\epsilon$=0.14$\pm$0.03) and the radial density profile. This profile is well reproduced by a standard King model with an extended core (r_c=24.5'') and a low concentration (c=1.16), indicating that the cluster has not experienced the collapse of the core. We also derived the cluster age, by using the Pisa Evolutionary Library (PEL) isochrones, with three different amount of overshooting (namely, $\Lambda_{os}$=0.0, 0.10 and 0.25). From the comparison of the observed Color-Magnitude Diagram (CMD) and Main Sequence (MS) Luminosity Function (LF) with the theoretical isochrones and LFs, we find that only models with the inclusion of some overshooting ($\Lambda_{os}$=0.10-0.25) are able to reproduce the observables. By using the magnitude difference $\delta V_{SGB}^{He-Cl}=0.90$ between the mean level of the He-clump and the flat region of the SGB, we derive an age $\tau$=1.4$\pm$0.2 Gyr.
astro-ph
we present hubble space telescope acs deep photometry of the intermediateage globular cluster ngc 1783 in the large magellanic cloud by using this photometric dataset we have determined the degree of ellipticity of the cluster epsilon014pm003 and the radial density profile this profile is well reproduced by a standard king model with an extended core r_c245 and a low concentration c116 indicating that the cluster has not experienced the collapse of the core we also derived the cluster age by using the pisa evolutionary library pel isochrones with three different amount of overshooting namely lambda_os00 010 and 025 from the comparison of the observed colormagnitude diagram cmd and main sequence ms luminosity function lf with the theoretical isochrones and lfs we find that only models with the inclusion of some overshooting lambda_os010025 are able to reproduce the observables by using the magnitude difference delta v_sgbhecl090 between the mean level of the heclump and the flat region of the sgb we derive an age tau14pm02 gyr
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707.4656
Communication under Strong Asynchronism
We consider asynchronous communication over point-to-point discrete memoryless channels. The transmitter starts sending one block codeword at an instant that is uniformly distributed within a certain time period, which represents the level of asynchronism. The receiver, by means of a sequential decoder, must isolate the message without knowing when the codeword transmission starts but being cognizant of the asynchronism level A. We are interested in how quickly can the receiver isolate the sent message, particularly in the regime where A is exponentially larger than the codeword length N, which we refer to as `strong asynchronism.' This model of sparse communication may represent the situation of a sensor that remains idle most of the time and, only occasionally, transmits information to a remote base station which needs to quickly take action. The first result shows that vanishing error probability can be guaranteed as N tends to infinity while A grows as Exp(N*k) if and only if k does not exceed the `synchronization threshold,' a constant that admits a simple closed form expression, and is at least as large as the capacity of the synchronized channel. The second result is the characterization of a set of achievable strictly positive rates in the regime where A is exponential in N, and where the rate is defined with respect to the expected delay between the time information starts being emitted until the time the receiver makes a decision. As an application of the first result we consider antipodal signaling over a Gaussian channel and derive a simple necessary condition between A, N, and SNR for achieving reliable communication.
cs.IT math.IT
we consider asynchronous communication over pointtopoint discrete memoryless channels the transmitter starts sending one block codeword at an instant that is uniformly distributed within a certain time period which represents the level of asynchronism the receiver by means of a sequential decoder must isolate the message without knowing when the codeword transmission starts but being cognizant of the asynchronism level a we are interested in how quickly can the receiver isolate the sent message particularly in the regime where a is exponentially larger than the codeword length n which we refer to as strong asynchronism this model of sparse communication may represent the situation of a sensor that remains idle most of the time and only occasionally transmits information to a remote base station which needs to quickly take action the first result shows that vanishing error probability can be guaranteed as n tends to infinity while a grows as expnk if and only if k does not exceed the synchronization threshold a constant that admits a simple closed form expression and is at least as large as the capacity of the synchronized channel the second result is the characterization of a set of achievable strictly positive rates in the regime where a is exponential in n and where the rate is defined with respect to the expected delay between the time information starts being emitted until the time the receiver makes a decision as an application of the first result we consider antipodal signaling over a gaussian channel and derive a simple necessary condition between a n and snr for achieving reliable communication
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707.4657
The Informational Conception and Basic Physics
In our previous arXiv papers ("The Information and the Matter", v1, v5; more systematically the informational conception is presented in the paper "The Information as Absolute", 2010) it was rigorously shown that Matter in our Universe - and Universe as a whole - are some informational systems (structures), which exist as uninterruptedly transforming [practically] infinitesimal sub-sets of the absolutely infinite and fundamental set "Information". Such a conception allows not only to clear essentially a number of metaphysical and epistemological problems in philosophy but, besides, allows to suggest a reasonable physical model. Since Matter in Universe is an informational system where any interaction between Matter's sub-structures, i.e. - particles and systems of the particles - happens always as an exchange by exclusively true information between these structures, the model is based on the conjecture that Matter is some analogue of computer. The conjecture, in turn, allows to introduce in the model the basic logical elements that constitute the material structures and support the informational exchange - i.e. the forces - between the structures. The model is experimentally testable and yet now makes be more clear a number of basic problems in special relativity, quantum mechanics, and, rather probably, in [now - in Newtonian] gravity.
physics.gen-ph
in our previous arxiv papers the information and the matter v1 v5 more systematically the informational conception is presented in the paper the information as absolute 2010 it was rigorously shown that matter in our universe and universe as a whole are some informational systems structures which exist as uninterruptedly transforming practically infinitesimal subsets of the absolutely infinite and fundamental set information such a conception allows not only to clear essentially a number of metaphysical and epistemological problems in philosophy but besides allows to suggest a reasonable physical model since matter in universe is an informational system where any interaction between matters substructures ie particles and systems of the particles happens always as an exchange by exclusively true information between these structures the model is based on the conjecture that matter is some analogue of computer the conjecture in turn allows to introduce in the model the basic logical elements that constitute the material structures and support the informational exchange ie the forces between the structures the model is experimentally testable and yet now makes be more clear a number of basic problems in special relativity quantum mechanics and rather probably in now in newtonian gravity
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707.4658
Higgs Hadroproduction at Large Feynman x
We propose a novel mechanism for the production of the Higgs boson in inclusive hadronic collisions, which utilizes the presence of heavy quarks in the proton wave function. In these inclusive reactions the Higgs boson acquires the momenta of both the heavy quark and antiquark and thus carries 80% or more of the projectile's momentum. We predict that the cross section ${d \sigma/d x_F}(p \bar p \to H X)$ for the inclusive production of the Standard Model Higgs coming from intrinsic bottom Fock states is of order 150 fb at LHC energies, peaking in the region of $x_F \sim 0.9$. Our estimates indicate that the corresponding cross section coming from gluon-gluon fusion at $x_F = 0.9$ is relatively negligible and therefore the peak from intrinsic bottom should be clearly visible for experiments with forward detection capabilities. The predicted cross section for the production of the Standard Model Higgs coming from intrinsic heavy quark Fock states in the proton is sufficiently large that detection at the Tevatron and the LHC may be possible.
hep-ph
we propose a novel mechanism for the production of the higgs boson in inclusive hadronic collisions which utilizes the presence of heavy quarks in the proton wave function in these inclusive reactions the higgs boson acquires the momenta of both the heavy quark and antiquark and thus carries 80 or more of the projectiles momentum we predict that the cross section d sigmad x_fp bar p to h x for the inclusive production of the standard model higgs coming from intrinsic bottom fock states is of order 150 fb at lhc energies peaking in the region of x_f sim 09 our estimates indicate that the corresponding cross section coming from gluongluon fusion at x_f 09 is relatively negligible and therefore the peak from intrinsic bottom should be clearly visible for experiments with forward detection capabilities the predicted cross section for the production of the standard model higgs coming from intrinsic heavy quark fock states in the proton is sufficiently large that detection at the tevatron and the lhc may be possible
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707.4659
Difference Equations in Massive Higher Order Calculations
The calculation of massive 2--loop operator matrix elements, required for the higher order Wilson coefficients for heavy flavor production in deeply inelastic scattering, leads to new types of multiple infinite sums over harmonic sums and related functions, which depend on the Mellin parameter $N$. We report on the solution of these sums through higher order difference equations using the summation package {\tt Sigma}.
math-ph cs.MS hep-ph math.MP
the calculation of massive 2loop operator matrix elements required for the higher order wilson coefficients for heavy flavor production in deeply inelastic scattering leads to new types of multiple infinite sums over harmonic sums and related functions which depend on the mellin parameter n we report on the solution of these sums through higher order difference equations using the summation package tt sigma
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707.466
Influence of Lorentz-violating terms on a two-level system
The influence of Lorentz- and CPT-violating terms of the extended Standard Model on a semi-classical two-level system is analyzed. It is shown that the Lorentz-violating background (when coupled with the fermion sector in a vector way) is able to induce modifications on the Rabi oscillation pattern, promoting sensitive modulations on the usual oscillations. As for the term involving the coefficient coupled in an axial vector way, it brings about oscillations both on energy states and on the spin states (implied by the background). It is also seen that such backgrounds are able to yield state oscillations even in the absence of the electromagnetic field. The foreseen effects are used to establish upper bounds on the Lorentz-violating coefficients.
hep-th
the influence of lorentz and cptviolating terms of the extended standard model on a semiclassical twolevel system is analyzed it is shown that the lorentzviolating background when coupled with the fermion sector in a vector way is able to induce modifications on the rabi oscillation pattern promoting sensitive modulations on the usual oscillations as for the term involving the coefficient coupled in an axial vector way it brings about oscillations both on energy states and on the spin states implied by the background it is also seen that such backgrounds are able to yield state oscillations even in the absence of the electromagnetic field the foreseen effects are used to establish upper bounds on the lorentzviolating coefficients
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707.4661
Theory of cosmic ray and $\gamma$-ray production in the supernova remnant RX J0852.0-4622 (Vela Jr.)
Explicitly time-dependent, nonlinear kinetic theory of cosmic ray (CR) acceleration in supernova remnants (SNRs) has been used to investigate the properties of the very large SNR RX J0852.0-4622. The available observations do not clearly distinguish between a ``nearby'' (at $\sim 200$ pc) and a ``distant'' (at $\sim 1$ kpc) source scenario. Therefore two correspondingly different models were analyzed. While the 200 pc solution can not be a priory excluded, the 1 kpc solution turns out to be clearly preferable for physical reasons. It requires a core collapse supernova (SN) with a massive progenitor in a molecular cloud $\sim 4000$ yrs ago. The overall synchrotron spectrum and the filamentary structures in hard X-rays both consistently lead to an amplified magnetic field $B > 100 \mu$G in the SNR interior. This implies a suppression of the leptonic TeV $\gamma$-ray emission to about 1 percent of the flux measured by the H.E.S.S. telescope system which therefore must be hadronic, consistent with the theoretical solution. Up to the present the 1 kpc solution has already converted $\sim 10$ percent of the explosion energy into nonthermal energy, as expected for a Galactic CR source. Also the derived $\gamma$-ray morphology is consistent with the H.E.S.S. measurements. For the ``nearby'' solution the leptonic and hadronic $\gamma$ ray fluxes are in the ratio 1:10 which means that this case is also hadronically dominated. However, the magnetic field strength, consistent with the overall synchrotron spectrum, differs significantly from that derived from the X-ray filaments. Finally, the total mechanical energy released amounts to only $1.8 \times 10^{50}$ erg, uncomfortably low even for a core collapse event.
astro-ph
explicitly timedependent nonlinear kinetic theory of cosmic ray cr acceleration in supernova remnants snrs has been used to investigate the properties of the very large snr rx j085204622 the available observations do not clearly distinguish between a nearby at sim 200 pc and a distant at sim 1 kpc source scenario therefore two correspondingly different models were analyzed while the 200 pc solution can not be a priory excluded the 1 kpc solution turns out to be clearly preferable for physical reasons it requires a core collapse supernova sn with a massive progenitor in a molecular cloud sim 4000 yrs ago the overall synchrotron spectrum and the filamentary structures in hard xrays both consistently lead to an amplified magnetic field b 100 mug in the snr interior this implies a suppression of the leptonic tev gammaray emission to about 1 percent of the flux measured by the hess telescope system which therefore must be hadronic consistent with the theoretical solution up to the present the 1 kpc solution has already converted sim 10 percent of the explosion energy into nonthermal energy as expected for a galactic cr source also the derived gammaray morphology is consistent with the hess measurements for the nearby solution the leptonic and hadronic gamma ray fluxes are in the ratio 110 which means that this case is also hadronically dominated however the magnetic field strength consistent with the overall synchrotron spectrum differs significantly from that derived from the xray filaments finally the total mechanical energy released amounts to only 18 times 1050 erg uncomfortably low even for a core collapse event
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707.4662
Preplanetary Nebulae: An HST Imaging Survey and a New Morphological Classification System
Using the Hubble Space Telescope (HST), we have carried out a survey of candidate preplanetary nebulae (PPNs). We report here our discoveries of objects having well-resolved geometrical structures, and use the large sample of PPNs now imaged with HST (including previously studied objects in this class) to devise a comprehensive morphological classification system for this category of objects. The wide variety of aspherical morphologies which we have found for PPNs are qualitatively similar to those found for young planetary nebulae in previous surveys. We also find prominent halos surrounding the central aspherical shapes in many of our objects -- these are direct signatures of the undisturbed circumstellar envelopes of the progenitor AGB stars. Although the majority of these have surface-brightness distributions consistent with a constant mass-loss rate with a constant expansion velocity, there are also examples of objects with varying mass-loss rates. As in our surveys of young planetary nebulae (PNs), we find no round PPNs. The similarities in morphologies between our survey objects and young PNs supports the view that the former are the progenitors of aspherical planetary nebulae, and that the onset of aspherical structure begins during the PPN phase (or earlier). Thus, the primary shaping of a PN clearly does not occur during the PN phase via the fast radiative wind of the hot central star, but significantly earlier in its evolution.
astro-ph
using the hubble space telescope hst we have carried out a survey of candidate preplanetary nebulae ppns we report here our discoveries of objects having wellresolved geometrical structures and use the large sample of ppns now imaged with hst including previously studied objects in this class to devise a comprehensive morphological classification system for this category of objects the wide variety of aspherical morphologies which we have found for ppns are qualitatively similar to those found for young planetary nebulae in previous surveys we also find prominent halos surrounding the central aspherical shapes in many of our objects these are direct signatures of the undisturbed circumstellar envelopes of the progenitor agb stars although the majority of these have surfacebrightness distributions consistent with a constant massloss rate with a constant expansion velocity there are also examples of objects with varying massloss rates as in our surveys of young planetary nebulae pns we find no round ppns the similarities in morphologies between our survey objects and young pns supports the view that the former are the progenitors of aspherical planetary nebulae and that the onset of aspherical structure begins during the ppn phase or earlier thus the primary shaping of a pn clearly does not occur during the pn phase via the fast radiative wind of the hot central star but significantly earlier in its evolution
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707.4663
The Properties and Gaseous Environments of Powerful Classical Double Radio Galaxies
The properties of a sample of 31 very powerful classical double radio galaxies with redshifts between zero and 1.8 are studied. The source velocities, beam powers, ambient gas densities, total lifetimes, and total outflow energies are presented and discussed. The rate of growth of each side of each source were obtained using a spectral aging analysis. The beam power and ambient gas density were obtained by applying the strong shock jump conditions to the ends of each side of the source. The total outflow lifetime was obtained by applying the power-law relationship between the beam power and the total source lifetime derived elsewhere for sources of this type, and the total outflow energy was obtained by combining the beam power and the total source lifetime. Composite profiles were constructed by combining results obtained from each side of each source. The composite profiles indicate that the ambient gas density falls with distance from the central engine. The source velocities, beam powers, total lifetimes, and total energies seem to be independent of radio source size. This is consistent with the standard model in which each source grows at a roughly constant rate during which time the central engine puts out a roughly constant beam power. The fact that the total source lifetimes and energies are independent of radio source size indicates that the sources are being sampled at random times during their lifetimes.
astro-ph
the properties of a sample of 31 very powerful classical double radio galaxies with redshifts between zero and 18 are studied the source velocities beam powers ambient gas densities total lifetimes and total outflow energies are presented and discussed the rate of growth of each side of each source were obtained using a spectral aging analysis the beam power and ambient gas density were obtained by applying the strong shock jump conditions to the ends of each side of the source the total outflow lifetime was obtained by applying the powerlaw relationship between the beam power and the total source lifetime derived elsewhere for sources of this type and the total outflow energy was obtained by combining the beam power and the total source lifetime composite profiles were constructed by combining results obtained from each side of each source the composite profiles indicate that the ambient gas density falls with distance from the central engine the source velocities beam powers total lifetimes and total energies seem to be independent of radio source size this is consistent with the standard model in which each source grows at a roughly constant rate during which time the central engine puts out a roughly constant beam power the fact that the total source lifetimes and energies are independent of radio source size indicates that the sources are being sampled at random times during their lifetimes
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707.4664
One-way quantum computation with four-dimensional photonic qudits
We consider the possibility of performing linear optical quantum computation making use of extra photonic degrees of freedom. In particular we focus on the case where we use photons as quadbits. The basic 2-quadbit cluster state is a hyper-entangled state across polarization and two spatial mode degrees of freedom. We examine the non-deterministic methods whereby such states can be created from single photons and/or Bell pairs, and then give some mechanisms for performing higher-dimensional fusion gates.
quant-ph
we consider the possibility of performing linear optical quantum computation making use of extra photonic degrees of freedom in particular we focus on the case where we use photons as quadbits the basic 2quadbit cluster state is a hyperentangled state across polarization and two spatial mode degrees of freedom we examine the nondeterministic methods whereby such states can be created from single photons andor bell pairs and then give some mechanisms for performing higherdimensional fusion gates
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707.4665
Wormholes with a space- and time-dependent equation of state
The discovery that the Universe is undergoing an accelerated expansion has suggested the existence of an evolving equation of state. This paper discusses various wormhole solutions in a spherically symmetric spacetime with an equation of state that is both space and time dependent. The solutions obtained are exact and generalize earlier results on static wormholes supported by phantom energy.
gr-qc
the discovery that the universe is undergoing an accelerated expansion has suggested the existence of an evolving equation of state this paper discusses various wormhole solutions in a spherically symmetric spacetime with an equation of state that is both space and time dependent the solutions obtained are exact and generalize earlier results on static wormholes supported by phantom energy
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707.4666
From the Magnetization Profile to the Stray Field of Bistable Wires
We present new analytical calculations of the spatial dependence of the stray field of a bistable magnetic wire from the magnetization profile of the wire. Contributions from the outer shell and from the wire ends are neglected. The results qualitatively agree with experimental data, taken from literature.
cond-mat.mtrl-sci cond-mat.soft
we present new analytical calculations of the spatial dependence of the stray field of a bistable magnetic wire from the magnetization profile of the wire contributions from the outer shell and from the wire ends are neglected the results qualitatively agree with experimental data taken from literature
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707.4667
Macroscopic Distinguishability Between Quantum States Defining Different Phases of Matter: Fidelity and the Uhlmann Geometric Phase
We study the fidelity approach to quantum phase transitions (QPTs) and apply it to general thermal phase transitions (PTs). We analyze two particular cases: the Stoner-Hubbard itinerant electron model of magnetism and the BCS theory of superconductivity. In both cases we show that the sudden drop of the mixed state fidelity marks the line of the phase transition. We conduct a detailed analysis of the general case of systems given by mutually commuting Hamiltonians, where the non-analyticity of the fidelity is directly related to the non-analyticity of the relevant response functions (susceptibility and heat capacity), for the case of symmetry-breaking transitions. Further, on the case of BCS theory of superconductivity, given by mutually non-commuting Hamiltonians, we analyze the structure of the system's eigenvectors in the vicinity of the line of the phase transition showing that their sudden change is quantified by the emergence of a generically non-trivial Uhlmann mixed state geometric phase.
quant-ph cond-mat.str-el
we study the fidelity approach to quantum phase transitions qpts and apply it to general thermal phase transitions pts we analyze two particular cases the stonerhubbard itinerant electron model of magnetism and the bcs theory of superconductivity in both cases we show that the sudden drop of the mixed state fidelity marks the line of the phase transition we conduct a detailed analysis of the general case of systems given by mutually commuting hamiltonians where the nonanalyticity of the fidelity is directly related to the nonanalyticity of the relevant response functions susceptibility and heat capacity for the case of symmetrybreaking transitions further on the case of bcs theory of superconductivity given by mutually noncommuting hamiltonians we analyze the structure of the systems eigenvectors in the vicinity of the line of the phase transition showing that their sudden change is quantified by the emergence of a generically nontrivial uhlmann mixed state geometric phase
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707.4668
Atomic lattice excitons: from condensates to crystals
We discuss atomic lattice excitons (ALEs), bound particle-hole pairs formed by fermionic atoms in two bands of an optical lattice. Such a system provides a clean setup to study fundamental properties of excitons, ranging from condensation to exciton crystals (which appear for a large effective mass ratio between particles and holes). Using both mean-field treatments and 1D numerical computation, we discuss the properities of ALEs under varying conditions, and discuss in particular their preparation and measurement.
cond-mat.other
we discuss atomic lattice excitons ales bound particlehole pairs formed by fermionic atoms in two bands of an optical lattice such a system provides a clean setup to study fundamental properties of excitons ranging from condensation to exciton crystals which appear for a large effective mass ratio between particles and holes using both meanfield treatments and 1d numerical computation we discuss the properities of ales under varying conditions and discuss in particular their preparation and measurement
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707.4669
Giant magnon bound states from strongly coupled N=4 SYM
We calculate in a very simple way the spectrum of giant magnon bound states at strong coupling in N=4 SYM, by utilizing the description of the field theory vacuum in terms of a condensate of eigenvalues of commuting matrices. We further show that these calculations can be understood in terms of the central charge extension that permits the calculation of BPS masses in the Coulomb branch of N=4 SYM. This paper shows further evidence that the strong coupling expansion of the maximally supersymmetric Yang-Mills theory in four dimensions can be done systematically from first principles, without the assumption of integrability.
hep-th
we calculate in a very simple way the spectrum of giant magnon bound states at strong coupling in n4 sym by utilizing the description of the field theory vacuum in terms of a condensate of eigenvalues of commuting matrices we further show that these calculations can be understood in terms of the central charge extension that permits the calculation of bps masses in the coulomb branch of n4 sym this paper shows further evidence that the strong coupling expansion of the maximally supersymmetric yangmills theory in four dimensions can be done systematically from first principles without the assumption of integrability
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707.467
Environmental dependence in the ellipsoidal collapse model
N-body simulations have demonstrated a correlation between the properties of haloes and their environment. In this paper, we assess whether the ellipsoidal collapse model can produce a similar dependence. First, we explore the statistical correlation that originates from Gaussian initial conditions. We derive analytic expressions for a number of joint statistics of the shear tensor and estimate the sensitivity of the local characteristics of the shear to the global geometry of the large scale environment. Next, we concentrate on the dynamical aspect of the environmental dependence using a simplified model that takes into account the interaction between a collapsing halo and its environment. We find that the tidal force exerted by the surrounding mass distribution causes haloes embedded in overdense regions to virialize earlier. An effective density threshold whose shape depends on the large scale density provides a good description of this environmental effect. We show that, using this approach, a correlation between formation redshift, large scale bias and environment density naturally arises. The strength of the effect is comparable, albeit smaller, to that seen in simulations. It is largest for low mass haloes and decreases as one goes to higher mass objects. Furthermore, haloes that formed early are substantially more clustered than those that assembled recently. On the other hand, our analytic model predicts a decrease in median formation redshift with increasing environment density, in disagreement with the trend detected in overdense regions. However, our results appear consistent with the behaviour inferred in relatively underdense regions. We argue that the ellipsoidal collapse model may apply in low density environments where nonlinear effects are negligible (abridged).
astro-ph
nbody simulations have demonstrated a correlation between the properties of haloes and their environment in this paper we assess whether the ellipsoidal collapse model can produce a similar dependence first we explore the statistical correlation that originates from gaussian initial conditions we derive analytic expressions for a number of joint statistics of the shear tensor and estimate the sensitivity of the local characteristics of the shear to the global geometry of the large scale environment next we concentrate on the dynamical aspect of the environmental dependence using a simplified model that takes into account the interaction between a collapsing halo and its environment we find that the tidal force exerted by the surrounding mass distribution causes haloes embedded in overdense regions to virialize earlier an effective density threshold whose shape depends on the large scale density provides a good description of this environmental effect we show that using this approach a correlation between formation redshift large scale bias and environment density naturally arises the strength of the effect is comparable albeit smaller to that seen in simulations it is largest for low mass haloes and decreases as one goes to higher mass objects furthermore haloes that formed early are substantially more clustered than those that assembled recently on the other hand our analytic model predicts a decrease in median formation redshift with increasing environment density in disagreement with the trend detected in overdense regions however our results appear consistent with the behaviour inferred in relatively underdense regions we argue that the ellipsoidal collapse model may apply in low density environments where nonlinear effects are negligible abridged
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707.4671
Observational Evidence for Negative-Energy Dust in Late-Times Cosmology
We perform fits of unconventional dark energy models to the available data from high-redshift supernovae, distant galaxies and baryon oscillations. The models are based either on brane cosmologies or on Liouville strings in which a relaxation dark energy is provided by a rolling dilaton field (Q-cosmology). An interesting feature of such cosmologies is the possibility of effective four-dimensional negative-energy dust and/or exotic scaling of dark matter. An important constraint that can discriminate among models is the evolution of the Hubble parameter as a function of the redshift, H(z). We perform fits using a unifying formula for the evolution of H(z), applicable to different models. We find evidence for a negative-energy dust at the current era, as well as for exotic-scaling (a^{-delta}) contributions to the energy density, with 3.3<delta<4.3. The latter could be due to dark matter coupling with the dilaton in Q-cosmology models, but it is also compatible with the possibility of dark radiation from a brane Universe to the bulk in brane-world scenarios, which could also encompass Q-cosmology models. The best-fit model seems to include an a^{-2}-scaling contribution to the energy density of the Universe, which is characteristic of the dilaton relaxation in Q-cosmology models, not to be confused with the spatial curvature contribution of conventional cosmology. We conclude that Q-cosmology fits the data equally well with the Lambda-CDM model for a range of parameters that are in general expected from theoretical considerations.
astro-ph gr-qc hep-th
we perform fits of unconventional dark energy models to the available data from highredshift supernovae distant galaxies and baryon oscillations the models are based either on brane cosmologies or on liouville strings in which a relaxation dark energy is provided by a rolling dilaton field qcosmology an interesting feature of such cosmologies is the possibility of effective fourdimensional negativeenergy dust andor exotic scaling of dark matter an important constraint that can discriminate among models is the evolution of the hubble parameter as a function of the redshift hz we perform fits using a unifying formula for the evolution of hz applicable to different models we find evidence for a negativeenergy dust at the current era as well as for exoticscaling adelta contributions to the energy density with 33delta43 the latter could be due to dark matter coupling with the dilaton in qcosmology models but it is also compatible with the possibility of dark radiation from a brane universe to the bulk in braneworld scenarios which could also encompass qcosmology models the bestfit model seems to include an a2scaling contribution to the energy density of the universe which is characteristic of the dilaton relaxation in qcosmology models not to be confused with the spatial curvature contribution of conventional cosmology we conclude that qcosmology fits the data equally well with the lambdacdm model for a range of parameters that are in general expected from theoretical considerations
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707.4672
Effects of non-uniform acceptance in anisotropic flow measurement
Applicability of anisotropic flow measurement techniques and their extension for detectors with non-uniform azimuthal acceptance are discussed. Considering anisotropic flow measurement with two and three (mixed harmonic) azimuthal correlations we introduce a set of observables based on the x and y components of the event flow vector. These observables provide independent measures of anisotropic flow, and can be used to test self-consistency of the analysis. Based on these observables we propose a technique that explicitly takes into account the effects of non-uniform detector acceptance. Within this approach the acceptance corrections, as well as parameters which define the method applicability, can be determined directly from experimental data. For practical purposes a brief summary of the method is provided at the end.
nucl-th
applicability of anisotropic flow measurement techniques and their extension for detectors with nonuniform azimuthal acceptance are discussed considering anisotropic flow measurement with two and three mixed harmonic azimuthal correlations we introduce a set of observables based on the x and y components of the event flow vector these observables provide independent measures of anisotropic flow and can be used to test selfconsistency of the analysis based on these observables we propose a technique that explicitly takes into account the effects of nonuniform detector acceptance within this approach the acceptance corrections as well as parameters which define the method applicability can be determined directly from experimental data for practical purposes a brief summary of the method is provided at the end
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707.4673
On the space of morphisms between \'etale groupoids
Given two \'etale groupoids $\Cal G$ and $\Cal G'$, we consider the set of pointed morphisms from $\Cal G$ to $\Cal G'$. Under suitable hypothesis we introduce on this set a structure of Banach manifold which can be considered as the space of objects of an \'etale groupoid whose space of orbits is the space of morphisms from $\Cal G$ to $\Cal G'$.
math.GT
given two etale groupoids cal g and cal g we consider the set of pointed morphisms from cal g to cal g under suitable hypothesis we introduce on this set a structure of banach manifold which can be considered as the space of objects of an etale groupoid whose space of orbits is the space of morphisms from cal g to cal g
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707.4674
Many-body exchange-correlation effects in graphene
We calculate, within the leading-order dynamical-screening approximation, the electron self-energy and spectral function at zero temperature for extrinsic (or gated/doped) graphene. We also calculate hot carrier inelastic scattering due to electron-electron interactions in graphene. We obtain the inelastic quasiparticle lifetimes and associated mean free paths from the calculated self-energy. The linear dispersion and chiral property of graphene gives energy dependent lifetimes that are qualitatively different from those of parabolic-band semiconductors.
cond-mat.mes-hall
we calculate within the leadingorder dynamicalscreening approximation the electron selfenergy and spectral function at zero temperature for extrinsic or gateddoped graphene we also calculate hot carrier inelastic scattering due to electronelectron interactions in graphene we obtain the inelastic quasiparticle lifetimes and associated mean free paths from the calculated selfenergy the linear dispersion and chiral property of graphene gives energy dependent lifetimes that are qualitatively different from those of parabolicband semiconductors
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707.4675
In silico design of metal-dielectric nanocomposites for solar energy applications
Recently, a homogenization procedure has been proposed, based on the tight lower bounds of the Bergman-Milton formulation, and successfully applied to dilute ternary nanocomposites to predict optical data without using any fitting parameters [Garcia et al. Phys. Rev. B, 75, 045439 (2007)]. The procedure has been extended and applied to predict the absorption coefficient of a quaternary nanocomposite consisting of Cu, Ag, and Au nanospheres embedded in a SiO2 host matrix. Significant enhancement of the absorption coefficient is observed over the spectral range 350-800 nm. The magnitude of this enhancement can be controlled by varying the nanosphere diameter and the individual metal volume fraction with respect to the host matrix. We have determined the optimal composition resulting in enhanced broadband (350nm-800nm) absorption of the solar spectrum using a simulated annealing algorithm. Fabricating such composite materials with a desired optical absorption has potential applications in solar energy harvesting.
cond-mat.mtrl-sci
recently a homogenization procedure has been proposed based on the tight lower bounds of the bergmanmilton formulation and successfully applied to dilute ternary nanocomposites to predict optical data without using any fitting parameters garcia et al phys rev b 75 045439 2007 the procedure has been extended and applied to predict the absorption coefficient of a quaternary nanocomposite consisting of cu ag and au nanospheres embedded in a sio2 host matrix significant enhancement of the absorption coefficient is observed over the spectral range 350800 nm the magnitude of this enhancement can be controlled by varying the nanosphere diameter and the individual metal volume fraction with respect to the host matrix we have determined the optimal composition resulting in enhanced broadband 350nm800nm absorption of the solar spectrum using a simulated annealing algorithm fabricating such composite materials with a desired optical absorption has potential applications in solar energy harvesting
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707.4676
Blazar Gamma-Rays, Shock Acceleration, and the Extragalactic Background Light
The observed spectra of blazars, their intrinsic emission, and the underlying populations of radiating particles are intimately related. The use of these sources as probes of the extragalactic infrared background, a prospect propelled by recent advances in TeV-band telescopes, soon to be augmented by observations by NASA's upcoming Gamma-Ray Large Area Space Telescope (GLAST), has been a topic of great recent interest. Here, it is demonstrated that if particles in blazar jets are accelerated at relativistic shocks, then gamma-ray spectra with indices less than 1.5 can be produced. This, in turn, loosens the upper limits on the near infrared extragalactic background radiation previously proposed. We also show evidence hinting that TeV blazars with flatter spectra have higher intrinsic TeV gamma-ray luminosities and we indicate that there may be a correlation of flatness and luminosity with redshift.
astro-ph hep-ph
the observed spectra of blazars their intrinsic emission and the underlying populations of radiating particles are intimately related the use of these sources as probes of the extragalactic infrared background a prospect propelled by recent advances in tevband telescopes soon to be augmented by observations by nasas upcoming gammaray large area space telescope glast has been a topic of great recent interest here it is demonstrated that if particles in blazar jets are accelerated at relativistic shocks then gammaray spectra with indices less than 15 can be produced this in turn loosens the upper limits on the near infrared extragalactic background radiation previously proposed we also show evidence hinting that tev blazars with flatter spectra have higher intrinsic tev gammaray luminosities and we indicate that there may be a correlation of flatness and luminosity with redshift
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707.4677
Extreme recoils: impact on the detection of gravitational waves from massive black hole binaries
Recent numerical simulations of coalescences of highly spinning massive black hole binaries (MBHBs) suggest that the remnant can suffer a recoil velocity of the order of few thousands km/s. We study here, by means of dedicated simulations of black holes build--up, how such extreme recoils could affect the cosmological coalescence rate of MBHBs, placing a robust lower limit for the predicted number of gravitational wave (GW) sources detectable by future space--borne missions (such as LISA). We consider two main routes for black hole formation: one where seeds are light remnants of Population III stars (~10^2 \msun), and one where seeds are much heavier (>~10^4 \msun), formed via the direct gas collapse in primordial nuclear disks. We find that extreme recoil velocities do not compromise the efficient MBHB detection by LISA. If seeds are already massive and/or relatively rare, the detection rate is reduced by only ~15%. The number of detections drops substantially (by ~60%) if seeds are instead light and abundant, but in this case the number of predicted coalescences is so high that at least ~10 sources in a three year observation are guaranteed.
astro-ph
recent numerical simulations of coalescences of highly spinning massive black hole binaries mbhbs suggest that the remnant can suffer a recoil velocity of the order of few thousands kms we study here by means of dedicated simulations of black holes buildup how such extreme recoils could affect the cosmological coalescence rate of mbhbs placing a robust lower limit for the predicted number of gravitational wave gw sources detectable by future spaceborne missions such as lisa we consider two main routes for black hole formation one where seeds are light remnants of population iii stars 102 msun and one where seeds are much heavier 104 msun formed via the direct gas collapse in primordial nuclear disks we find that extreme recoil velocities do not compromise the efficient mbhb detection by lisa if seeds are already massive andor relatively rare the detection rate is reduced by only 15 the number of detections drops substantially by 60 if seeds are instead light and abundant but in this case the number of predicted coalescences is so high that at least 10 sources in a three year observation are guaranteed
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707.4678
Dynamical clustering of counterions on flexible polyelectrolytes
Molecular dynamics simulations are used to study the local dynamics of counterion-charged polymer association at charge densities above and below the counterion condensation threshold. Surprisingly, the counterions form weakly-interacting clusters which exhibit short range orientational order, and which decay slowly due to migration of ions across the diffuse double layer. The cluster dynamics are insensitive to an applied electric field, and qualitatively agree with the available experimental data. The results are consistent with predictions of the classical theory only over much longer time scales.
cond-mat.soft
molecular dynamics simulations are used to study the local dynamics of counterioncharged polymer association at charge densities above and below the counterion condensation threshold surprisingly the counterions form weaklyinteracting clusters which exhibit short range orientational order and which decay slowly due to migration of ions across the diffuse double layer the cluster dynamics are insensitive to an applied electric field and qualitatively agree with the available experimental data the results are consistent with predictions of the classical theory only over much longer time scales
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707.4679
On the Transfer of Adiabatic Fluctuations through a Nonsingular Cosmological Bounce
We study the transfer of cosmological perturbations through a nonsingular cosmological bounce in a special model in which the parameters of the bounce and the equation of state of matter are chosen such as to allow for an exact calculation of the evolution of the fluctuations. We find that the growing mode of the metric fluctuations in the contracting phase goes over into the growing mode in the expanding phase, a result which is different from what is obtained in analyses in which fluctuations are matched at a singular hypersurface. Consequences for Ekpyrotic cosmology are discussed in a limit when the equation of state of a fluid becomes large.
hep-th astro-ph gr-qc hep-ph
we study the transfer of cosmological perturbations through a nonsingular cosmological bounce in a special model in which the parameters of the bounce and the equation of state of matter are chosen such as to allow for an exact calculation of the evolution of the fluctuations we find that the growing mode of the metric fluctuations in the contracting phase goes over into the growing mode in the expanding phase a result which is different from what is obtained in analyses in which fluctuations are matched at a singular hypersurface consequences for ekpyrotic cosmology are discussed in a limit when the equation of state of a fluid becomes large
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707.468
Local three-nucleon interaction from chiral effective field theory
The three-nucleon (NNN) interaction derived within the chiral effective field theory at the next-to-next-to-leading order (N2LO) is regulated with a function depending on the magnitude of the momentum transfer. The regulated NNN interaction is then local in the coordinate space, which is advantages for some many-body techniques. Matrix elements of the local chiral NNN interaction are evaluated in a three-nucleon basis. Using the ab initio no-core shell model (NCSM) the NNN matrix elements are employed in 3H and 4He bound-state calculations.
nucl-th
the threenucleon nnn interaction derived within the chiral effective field theory at the nexttonexttoleading order n2lo is regulated with a function depending on the magnitude of the momentum transfer the regulated nnn interaction is then local in the coordinate space which is advantages for some manybody techniques matrix elements of the local chiral nnn interaction are evaluated in a threenucleon basis using the ab initio nocore shell model ncsm the nnn matrix elements are employed in 3h and 4he boundstate calculations
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707.4681
A more direct representation for complex relativity
An alternative to the representation of complex relativity by self-dual complex 2-forms on the spacetime manifold is presented by assuming that that the bundle of real 2-forms is given an almost-complex structure. From this, one can define a complex orthogonal structure on the bundle of 2-forms, which results in a more direct representation of the complex orthogonal group in three complex dimensions. The geometrical foundations of general relativity are then presented in terms of the bundle of oriented complex orthogonal 3-frames on the bundle of 2-forms in a manner that essentially parallels their construction in terms of self-dual complex 2-forms. It is shown that one can still discuss the Debever-Penrose classification of the Riemannian curvature tensor in terms of the representation presented here.
gr-qc
an alternative to the representation of complex relativity by selfdual complex 2forms on the spacetime manifold is presented by assuming that that the bundle of real 2forms is given an almostcomplex structure from this one can define a complex orthogonal structure on the bundle of 2forms which results in a more direct representation of the complex orthogonal group in three complex dimensions the geometrical foundations of general relativity are then presented in terms of the bundle of oriented complex orthogonal 3frames on the bundle of 2forms in a manner that essentially parallels their construction in terms of selfdual complex 2forms it is shown that one can still discuss the debeverpenrose classification of the riemannian curvature tensor in terms of the representation presented here
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708.0001
The effects of Chern-Simons gravity on bodies orbiting the Earth
One of the possible low-energy consequences of string theory is the addition of a Chern-Simons term to the standard Einstein-Hilbert action of general relativity. It can be argued that the quintessence field should couple to this Chern-Simons term, and if so, it drives in the linearized theory a parity-violating interaction between the gravito-electric and gravitomagnetic fields. In this paper, the linearized spacetime for Chern-Simons gravity around a massive spinning body is found to include new modifications to the gravitomagnetic field that have not appeared in previous work. The orbits of test bodies and the precession of gyroscopes in this spacetime are calculated, leading to new constraints on the Chern-Simons parameter space due to current satellite experiments.
astro-ph gr-qc hep-ph hep-th
one of the possible lowenergy consequences of string theory is the addition of a chernsimons term to the standard einsteinhilbert action of general relativity it can be argued that the quintessence field should couple to this chernsimons term and if so it drives in the linearized theory a parityviolating interaction between the gravitoelectric and gravitomagnetic fields in this paper the linearized spacetime for chernsimons gravity around a massive spinning body is found to include new modifications to the gravitomagnetic field that have not appeared in previous work the orbits of test bodies and the precession of gyroscopes in this spacetime are calculated leading to new constraints on the chernsimons parameter space due to current satellite experiments
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708.0002
1E 1547.0-5408: a radio-emitting magnetar with a rotation period of 2 seconds
The variable X-ray source 1E 1547.0-5408 was identified by Gelfand & Gaensler (2007) as a likely magnetar in G327.24-0.13, an apparent supernova remnant. No X-ray pulsations have been detected from it. Using the Parkes radio telescope, we discovered pulsations with period P = 2.069 s. Using the Australia Telescope Compact Array, we localized these to 1E 1547.0-5408. We measure dP/dt = (2.318+-0.005)e-11, which for a magnetic dipole rotating in vacuo gives a surface field strength of 2.2e14 G, a characteristic age of 1.4 kyr, and a spin-down luminosity of 1.0e35 ergs/s. Together with its X-ray characteristics, these rotational parameters of 1E 1547.0-5408 prove that it is a magnetar, only the second known to emit radio waves. The distance is ~9 kpc, derived from the dispersion measure of 830 pc/cc. The pulse profile at a frequency of 1.4 GHz is extremely broad and asymmetric due to multipath propagation in the ISM, as a result of which only approximately 75% of the total flux at 1.4 GHz is pulsed. At higher frequencies the profile is more symmetric and has FWHM = 0.12P. Unlike in normal radio pulsars, but in common with the other known radio-emitting magnetar, XTE J1810-197, the spectrum over 1.4-6.6 GHz is flat or rising, and we observe large, sudden changes in the pulse shape. In a contemporaneous Swift X-ray observation, 1E 1547.0-5408 was detected with record high flux, f_X(1-8 keV) ~ 5e-12 ergs/cm^2/s, 16 times the historic minimum. The pulsar was undetected in archival radio observations from 1998, implying a flux < 0.2 times the present level. Together with the transient behavior of XTE J1810-197, these results suggest that radio emission is triggered by X-ray outbursts of usually quiescent magnetars.
astro-ph
the variable xray source 1e 154705408 was identified by gelfand gaensler 2007 as a likely magnetar in g32724013 an apparent supernova remnant no xray pulsations have been detected from it using the parkes radio telescope we discovered pulsations with period p 2069 s using the australia telescope compact array we localized these to 1e 154705408 we measure dpdt 23180005e11 which for a magnetic dipole rotating in vacuo gives a surface field strength of 22e14 g a characteristic age of 14 kyr and a spindown luminosity of 10e35 ergss together with its xray characteristics these rotational parameters of 1e 154705408 prove that it is a magnetar only the second known to emit radio waves the distance is 9 kpc derived from the dispersion measure of 830 pccc the pulse profile at a frequency of 14 ghz is extremely broad and asymmetric due to multipath propagation in the ism as a result of which only approximately 75 of the total flux at 14 ghz is pulsed at higher frequencies the profile is more symmetric and has fwhm 012p unlike in normal radio pulsars but in common with the other known radioemitting magnetar xte j1810197 the spectrum over 1466 ghz is flat or rising and we observe large sudden changes in the pulse shape in a contemporaneous swift xray observation 1e 154705408 was detected with record high flux f_x18 kev 5e12 ergscm2s 16 times the historic minimum the pulsar was undetected in archival radio observations from 1998 implying a flux 02 times the present level together with the transient behavior of xte j1810197 these results suggest that radio emission is triggered by xray outbursts of usually quiescent magnetars
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708.0003
One-dimensional quantum wires: A pedestrian approach to bosonization
In these lecture notes we will consider systems in which the motion of electrons is confined to one dimension (1D). In these so-called quantum wires electron-electron interaction effects play an important role because the restricted dimensions enhance the scattering between the electrons and completely destroy the quasi-particle picture. New density wave excitations appear that are described by bosonic operators. Here, we will develop this bosonic description, following a pedestrian approach which does not require any previous knowledge in field theory methods. These notes therefore serve as a detailed introduction into bosonization by carefully deriving the most fundamental formulas.
cond-mat.str-el
in these lecture notes we will consider systems in which the motion of electrons is confined to one dimension 1d in these socalled quantum wires electronelectron interaction effects play an important role because the restricted dimensions enhance the scattering between the electrons and completely destroy the quasiparticle picture new density wave excitations appear that are described by bosonic operators here we will develop this bosonic description following a pedestrian approach which does not require any previous knowledge in field theory methods these notes therefore serve as a detailed introduction into bosonization by carefully deriving the most fundamental formulas
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708.0004
The DEEP2 Galaxy Redshift Survey: Color and Luminosity Dependence of Galaxy Clustering at z~1
We present measurements of the color and luminosity dependence of galaxy clustering at z~1 in the DEEP2 Galaxy Redshift Survey. Using volume-limited subsamples in bins of both color and luminosity, we find that: 1) The clustering dependence is much stronger with color than with luminosity and is as strong with color at z~1 as is found locally. We find no dependence of the clustering amplitude on color for galaxies on the red sequence, but a significant dependence on color for galaxies within the blue cloud. 2) For galaxies in the range L/L*~0.7-2, a stronger large-scale luminosity dependence is seen for all galaxies than for red and blue galaxies separately. The small-scale clustering amplitude depends significantly on luminosity for blue galaxies, with brighter samples having a stronger rise on scales r_p<0.5 Mpc/h. 3) Redder galaxies exhibit stronger small-scale redshift-space distortions ("fingers of god"), and both red and blue populations show large-scale distortions in xi(r_p,pi) due to coherent infall. 4) While the clustering length, r_0, increases smoothly with galaxy color (in narrow bins), its power-law exponent, gamma, exhibits a sharp jump from the blue cloud to the red sequence. The intermediate color `green' galaxy population likely includes transitional galaxies moving from the blue cloud to the red sequence; on large scales green galaxies are as clustered as red galaxies but show infall kinematics and a small-scale correlation slope akin to the blue galaxy population. 5) We compare our results to a semi-analytic galaxy formation model applied to the Millenium Run simulation. Differences between the data and the model suggest that in the model star formation is shut down too efficiently in satellite galaxies.
astro-ph
we present measurements of the color and luminosity dependence of galaxy clustering at z1 in the deep2 galaxy redshift survey using volumelimited subsamples in bins of both color and luminosity we find that 1 the clustering dependence is much stronger with color than with luminosity and is as strong with color at z1 as is found locally we find no dependence of the clustering amplitude on color for galaxies on the red sequence but a significant dependence on color for galaxies within the blue cloud 2 for galaxies in the range ll072 a stronger largescale luminosity dependence is seen for all galaxies than for red and blue galaxies separately the smallscale clustering amplitude depends significantly on luminosity for blue galaxies with brighter samples having a stronger rise on scales r_p05 mpch 3 redder galaxies exhibit stronger smallscale redshiftspace distortions fingers of god and both red and blue populations show largescale distortions in xir_ppi due to coherent infall 4 while the clustering length r_0 increases smoothly with galaxy color in narrow bins its powerlaw exponent gamma exhibits a sharp jump from the blue cloud to the red sequence the intermediate color green galaxy population likely includes transitional galaxies moving from the blue cloud to the red sequence on large scales green galaxies are as clustered as red galaxies but show infall kinematics and a smallscale correlation slope akin to the blue galaxy population 5 we compare our results to a semianalytic galaxy formation model applied to the millenium run simulation differences between the data and the model suggest that in the model star formation is shut down too efficiently in satellite galaxies
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708.0005
Colored Unparticles
We examine a scenario where the new physics at the LHC includes an approximate conformal field theory, where some of the degrees of freedom (aka "unparticles") carry a color charge. We present a simple argument showing that the production cross section for scalar unparticles mediated by a gauge interaction is given by (2-d) times the standard particle expression, where d is the scaling dimension of the unparticle field. We explicitly check that this is indeed the case, which involves non trivial cancellations between different Feynman diagrams, for the process q qbar to scalar unparticles.
hep-ph
we examine a scenario where the new physics at the lhc includes an approximate conformal field theory where some of the degrees of freedom aka unparticles carry a color charge we present a simple argument showing that the production cross section for scalar unparticles mediated by a gauge interaction is given by 2d times the standard particle expression where d is the scaling dimension of the unparticle field we explicitly check that this is indeed the case which involves non trivial cancellations between different feynman diagrams for the process q qbar to scalar unparticles
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708.0006
Lyman-alpha Emitters During the Early Stages of Reionization
We investigate the potential of exploiting Lya Emitters (LAEs) to constrain the volume-weighted mean neutral hydrogen fraction of the IGM, x_H, at high redshifts (specifically z~9). We use "semi-numerical'' simulations to efficiently generate density, velocity, and halo fields at z=9 in a 250 Mpc box, resolving halos with masses M>2.2e8 solar masses. We construct ionization fields corresponding to various values of x_H. With these, we generate LAE luminosity functions and "counts-in-cell'' statistics. As in previous studies, we find that LAEs begin to disappear rapidly when x_H > 0.5. Constraining x_H(z=9) with luminosity functions is difficult due to the many uncertainties inherent in the host halo mass <--> Lya luminosity mapping. However, using a very conservative mapping, we show that the number densities derived using the six z~9 LAEs recently discovered by Stark et al. (2007) imply x_H < 0.7. On a more fundamental level, these LAE number densities, if genuine, require substantial star formation in halos with M < 10^9 solar masses, making them unique among the current sample of observed high-z objects. Furthermore, reionization increases the apparent clustering of the observed LAEs. We show that a ``counts-in-cell'' statistic is a powerful probe of this effect, especially in the early stages of reionization. Specifically, we show that a field of view (typical of upcoming IR instruments) containing LAEs has >10% higher probability of containing more than one LAE in a x_H>0.5 universe than a x_H=0 universe with the same overall number density. With this statistic, a fully ionized universe can be robustly distinguished from one with x_H > 0.5 using a survey containing only ~ 20--100 galaxies.
astro-ph
we investigate the potential of exploiting lya emitters laes to constrain the volumeweighted mean neutral hydrogen fraction of the igm x_h at high redshifts specifically z9 we use seminumerical simulations to efficiently generate density velocity and halo fields at z9 in a 250 mpc box resolving halos with masses m22e8 solar masses we construct ionization fields corresponding to various values of x_h with these we generate lae luminosity functions and countsincell statistics as in previous studies we find that laes begin to disappear rapidly when x_h 05 constraining x_hz9 with luminosity functions is difficult due to the many uncertainties inherent in the host halo mass lya luminosity mapping however using a very conservative mapping we show that the number densities derived using the six z9 laes recently discovered by stark et al 2007 imply x_h 07 on a more fundamental level these lae number densities if genuine require substantial star formation in halos with m 109 solar masses making them unique among the current sample of observed highz objects furthermore reionization increases the apparent clustering of the observed laes we show that a countsincell statistic is a powerful probe of this effect especially in the early stages of reionization specifically we show that a field of view typical of upcoming ir instruments containing laes has 10 higher probability of containing more than one lae in a x_h05 universe than a x_h0 universe with the same overall number density with this statistic a fully ionized universe can be robustly distinguished from one with x_h 05 using a survey containing only 20100 galaxies
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708.0007
The Sightline to Q2343-BX415: Clues to Galaxy Formation in a Quasar Environment
(Abridged) We have discovered a strong DLA coincident in redshift with the faint QSO Q2343-BX415 (R = 20.2, z_em = 2.57393). Follow-up observations at intermediate spectral resolution reveal that the metal lines associated with this 'proximate' DLA consist of two sets of absorption components. One set is moving towards the quasar with velocities of ~ 150-600 km/s; this gas is highly ionized and does not fully cover the continuum source, suggesting that it is physically close to the active nucleus. The other, which accounts for most of the neutral gas, is blueshifted relative to the QSO, with the strongest component at ~ -160 km/s. We consider the possibility that the PDLA arises in the outflowing interstellar medium of the host galaxy of Q2343-BX415, an interpretation supported by strong C IV and N V absorption at nearby velocities, and by the intense radiation field longward of the Lyman limit implied by the high C II*/H I ratio. If Q2343-BX415 is the main source of these UV photons, then the PDLA is located at either ~ 8 or ~ 37 kpc from the active nucleus. Alternatively, the absorber may be a foreground star-forming galaxy unrelated to the quasar and coincidentally at the same redshift, but our deep imaging and follow-up spectroscopy of the field of Q2343-BX415 has not yet produced a likely candidate. We measure the abundances of 14 elements in the PDLA, finding an overall metallicity of ~ 1/5 solar and a normal pattern of relative element abundances for this metallicity. Thus, in this PDLA there is no evidence for the super-solar metallicities that have been claimed for some proximate, high ionization, systems.
astro-ph
abridged we have discovered a strong dla coincident in redshift with the faint qso q2343bx415 r 202 z_em 257393 followup observations at intermediate spectral resolution reveal that the metal lines associated with this proximate dla consist of two sets of absorption components one set is moving towards the quasar with velocities of 150600 kms this gas is highly ionized and does not fully cover the continuum source suggesting that it is physically close to the active nucleus the other which accounts for most of the neutral gas is blueshifted relative to the qso with the strongest component at 160 kms we consider the possibility that the pdla arises in the outflowing interstellar medium of the host galaxy of q2343bx415 an interpretation supported by strong c iv and n v absorption at nearby velocities and by the intense radiation field longward of the lyman limit implied by the high c iih i ratio if q2343bx415 is the main source of these uv photons then the pdla is located at either 8 or 37 kpc from the active nucleus alternatively the absorber may be a foreground starforming galaxy unrelated to the quasar and coincidentally at the same redshift but our deep imaging and followup spectroscopy of the field of q2343bx415 has not yet produced a likely candidate we measure the abundances of 14 elements in the pdla finding an overall metallicity of 15 solar and a normal pattern of relative element abundances for this metallicity thus in this pdla there is no evidence for the supersolar metallicities that have been claimed for some proximate high ionization systems
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708.0008
Ovrview: The Shape of Hadrons
In this article we address the physical basis of the deviation of hadron shapes from spherical symmetry (non-spherical amplitudes) with focus on the nucleon and $\Delta$. An overview of both the experimental methods and results and the current theoretical understanding of the issue is presented. At the present time the most quantitative method is the $\gamma^{*} p \to \Delta$ reaction for which significant non-spherical electric (E2) and Coulomb quadrupole (C2) amplitudes have been observed with good precision as a function of Q^{2} from the photon point through 6 GeV^{2}. Quark model calculations for these quadrupole amplitudes are at least an order of magnitude too small and even have the wrong sign. Lattice QCD, chiral effective field theory, and dynamic model calculations which include the effects of the pion-cloud are in approximate agreement with experiment. This is expected due to the spontaneous breaking of chiral symmetry in QCD and the resulting, long range (low Q^{2}) effects of the pion-cloud. Other observables such as nucleon form factors and virtual Compton scattering experiments indicate that the pion-cloud is playing a significant role in nucleon structure. Semi-inclusive deep inelastic scattering experiments with transverse polarized beam and target also show the effect of non-zero quark angular momentum.
hep-ph hep-ex nucl-ex nucl-th
in this article we address the physical basis of the deviation of hadron shapes from spherical symmetry nonspherical amplitudes with focus on the nucleon and delta an overview of both the experimental methods and results and the current theoretical understanding of the issue is presented at the present time the most quantitative method is the gamma p to delta reaction for which significant nonspherical electric e2 and coulomb quadrupole c2 amplitudes have been observed with good precision as a function of q2 from the photon point through 6 gev2 quark model calculations for these quadrupole amplitudes are at least an order of magnitude too small and even have the wrong sign lattice qcd chiral effective field theory and dynamic model calculations which include the effects of the pioncloud are in approximate agreement with experiment this is expected due to the spontaneous breaking of chiral symmetry in qcd and the resulting long range low q2 effects of the pioncloud other observables such as nucleon form factors and virtual compton scattering experiments indicate that the pioncloud is playing a significant role in nucleon structure semiinclusive deep inelastic scattering experiments with transverse polarized beam and target also show the effect of nonzero quark angular momentum
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708.0009
Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
In this work we consider a functional method in the theory of exactly solvable models based on the Yang-Baxter algebra. Using this method we derive the eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions for general values of the anisotropy and boundary parameters.
nlin.SI
in this work we consider a functional method in the theory of exactly solvable models based on the yangbaxter algebra using this method we derive the eigenvalues of the xxz model with nondiagonal twisted and open boundary conditions for general values of the anisotropy and boundary parameters
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708.001
Velocity Dispersion Profiles of Seven Dwarf Spheroidal Galaxies
We present stellar velocity dispersion profiles for seven Milky Way dwarf spheroidal (dSph) satellite galaxies. We have measured 8394 line-of-sight velocities (+/- 2.5 km/s) for 6804 stars from high-resolution spectra obtained at the Magellan and MMT telescopes. We combine these new data with previously published velocities to obtain the largest available kinematic samples, which include more than 5500 dSph members. All the measured dSphs have stellar velocity dispersion of order 10 km/s that remains approximately constant with distance from the dSph center, out to and in some cases beyond the radius at which the mean surface brightness falls to the background level. Assuming dSphs reside within dark matter halos characterized by the NFW density profile, we obtain reasonable fits to the empirical velocity dispersion profiles. These fits imply that, among the seven dSphs, M_vir ~ 10^[8-9] M_sun. The mass enclosed at a radius of 600 pc, the region common to all data sets, ranges from (2-7) x 10^7 M_sun .
astro-ph
we present stellar velocity dispersion profiles for seven milky way dwarf spheroidal dsph satellite galaxies we have measured 8394 lineofsight velocities 25 kms for 6804 stars from highresolution spectra obtained at the magellan and mmt telescopes we combine these new data with previously published velocities to obtain the largest available kinematic samples which include more than 5500 dsph members all the measured dsphs have stellar velocity dispersion of order 10 kms that remains approximately constant with distance from the dsph center out to and in some cases beyond the radius at which the mean surface brightness falls to the background level assuming dsphs reside within dark matter halos characterized by the nfw density profile we obtain reasonable fits to the empirical velocity dispersion profiles these fits imply that among the seven dsphs m_vir 1089 m_sun the mass enclosed at a radius of 600 pc the region common to all data sets ranges from 27 x 107 m_sun
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708.0011
An Extremely Massive Dry Galaxy Merger in a Moderate Redshift Cluster
We have identified perhaps the largest major galaxy merger ever seen. While analysing Spitzer IRAC images of CL0958+4702, an X-ray selected cluster at z=0.39, we discovered an unusual plume of stars extending $\gtrsim$110 kpc outward from the bright central galaxy (BCG). Three galaxies 1-1.5 mag fainter than the BCG lie within 17 kpc (projected) of the BCG and are probably participating in the merger. The plume is detected in all four IRAC channels and at optical wavelengths in images from the WIYN telescope; the surface brightness is remarkably high ($\mu_r\approx$24.8 mag arcsec$^{-2}$ at 50 kpc). The optical and infrared colors are consistent with those of other BCGs, suggesting that the plume is composed of old stars and negligible recent star formation (hence a "dry merger"). The luminosity in the plume is at least equivalent to a 4L^* galaxy. A diffuse halo extending 110 kpc from the BCG in one IRAC image suggests the total amount of diffuse light is L_r\sim 1.3x10^{11}h^{-2} L_sun. A Chandra observation shows an X-ray image and spectrum typical of moderate-mass clusters. We use MMT/Hectospec to measure 905 redshifts in a 1 deg^2 region around the cluster. The velocities of two of the BCG companions indicate a merger timescale for the companion galaxies of $\sim$110 Myr and $\sim$0.5-1 Gyr for the plume. We conclude that the BCG and intracluster light of CL0958 is formed by major mergers at moderate redshifts. After the major merger is complete, CL0958 will likely become a fossil cluster.
astro-ph
we have identified perhaps the largest major galaxy merger ever seen while analysing spitzer irac images of cl09584702 an xray selected cluster at z039 we discovered an unusual plume of stars extending gtrsim110 kpc outward from the bright central galaxy bcg three galaxies 115 mag fainter than the bcg lie within 17 kpc projected of the bcg and are probably participating in the merger the plume is detected in all four irac channels and at optical wavelengths in images from the wiyn telescope the surface brightness is remarkably high mu_rapprox248 mag arcsec2 at 50 kpc the optical and infrared colors are consistent with those of other bcgs suggesting that the plume is composed of old stars and negligible recent star formation hence a dry merger the luminosity in the plume is at least equivalent to a 4l galaxy a diffuse halo extending 110 kpc from the bcg in one irac image suggests the total amount of diffuse light is l_rsim 13x1011h2 l_sun a chandra observation shows an xray image and spectrum typical of moderatemass clusters we use mmthectospec to measure 905 redshifts in a 1 deg2 region around the cluster the velocities of two of the bcg companions indicate a merger timescale for the companion galaxies of sim110 myr and sim051 gyr for the plume we conclude that the bcg and intracluster light of cl0958 is formed by major mergers at moderate redshifts after the major merger is complete cl0958 will likely become a fossil cluster
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708.0012
The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
An extension of the renormalization group method that includes the effect of retardation for the interactions of a fermion gas is used to re-examine the quantum and classical properties of Peierls- like states in one dimension. For models of spinless and spin-1/2 fermions interacting with either intra or intermolecular phonons the quantum corrections to the Peierls gap at half-filling are determined at arbitrary phonon frequency. The nature of quantum-classical transitions is clarified in weak coupling.
cond-mat.str-el cond-mat.stat-mech
an extension of the renormalization group method that includes the effect of retardation for the interactions of a fermion gas is used to reexamine the quantum and classical properties of peierls like states in one dimension for models of spinless and spin12 fermions interacting with either intra or intermolecular phonons the quantum corrections to the peierls gap at halffilling are determined at arbitrary phonon frequency the nature of quantumclassical transitions is clarified in weak coupling
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708.0013
Beltrami States for Compressible Barotropic Flows
Beltrami states for compressible barotropic flows are deduced by minimizing the total kinetic energy while keeping the total helicity constant. A Hamiltonian basis for these Beltrami states is also sketched.
physics.flu-dyn
beltrami states for compressible barotropic flows are deduced by minimizing the total kinetic energy while keeping the total helicity constant a hamiltonian basis for these beltrami states is also sketched
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708.0014
Cover slip external cavity diode laser
The design of a 671 nm diode laser with a mode-hop-free tuning range of 40 GHz is described. This long tuning range is achieved by simultaneously ramping the external cavity length with the laser injection current. The external cavity consists of a microscope cover slip mounted on piezoelectric actuators. In such a configuration the laser output pointing remains fixed, independent of its frequency. Using a diode with an output power of 5-7 mW, the laser linewidth was found to be smaller than 30 MHz. This cover slip cavity and feedforward laser current control system is simple, economical, robust, and easy to use for spectroscopy, as we demonstrate with lithium vapor and lithium atom beam experiments.
physics.optics physics.atom-ph
the design of a 671 nm diode laser with a modehopfree tuning range of 40 ghz is described this long tuning range is achieved by simultaneously ramping the external cavity length with the laser injection current the external cavity consists of a microscope cover slip mounted on piezoelectric actuators in such a configuration the laser output pointing remains fixed independent of its frequency using a diode with an output power of 57 mw the laser linewidth was found to be smaller than 30 mhz this cover slip cavity and feedforward laser current control system is simple economical robust and easy to use for spectroscopy as we demonstrate with lithium vapor and lithium atom beam experiments
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708.0015
Is there a link between the neutron-star spin and the frequency of the kilohertz quasi-periodic oscillations?
There is a general consensus that the frequencies of the kilohertz Quasi-Periodic Oscillations (kHz QPOs) in neutron-star low-mass X-ray binaries are directly linked to the spin of the neutron star. The root of this idea is the apparent clustering of the ratio of the frequency difference of the kHz QPOs and the neutron-star spin frequency, $\Delta\nu/\nu_s$, at around 0.5 and 1 in ten systems for which these two quantities have been measured. Here we reexamine all available data of sources for which there exist measurements of two simultaneous kHz QPOs and spin frequencies, and we advance the possibility that $\Delta\nu$ and $\nu_s$ are not related to each other. We discuss ways in which this possibility could be tested with current and future observations.
astro-ph
there is a general consensus that the frequencies of the kilohertz quasiperiodic oscillations khz qpos in neutronstar lowmass xray binaries are directly linked to the spin of the neutron star the root of this idea is the apparent clustering of the ratio of the frequency difference of the khz qpos and the neutronstar spin frequency deltanunu_s at around 05 and 1 in ten systems for which these two quantities have been measured here we reexamine all available data of sources for which there exist measurements of two simultaneous khz qpos and spin frequencies and we advance the possibility that deltanu and nu_s are not related to each other we discuss ways in which this possibility could be tested with current and future observations
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708.0016
Nearing the Horizon of a Heterotic String
It is argued that recent developments point to the existence of an AdS_3 x S^2 x T^5 holographic dual for the 2D CFT living on the worldsheet of N coincident heterotic strings in a T^5 compactification, which can in turn be described by an exact worldsheet CFT. A supergravity analysis is shown to imply that the global supergroup is Osp(4^*|4), with 16 supercharges and an affine extension given, surprisingly, by a nonlinear N=8 2D superconformal algebra. Possible supergroups with 16 supercharges are also found to match the expected symmetries for T^n compactification with 0<=n<=7.
hep-th
it is argued that recent developments point to the existence of an ads_3 x s2 x t5 holographic dual for the 2d cft living on the worldsheet of n coincident heterotic strings in a t5 compactification which can in turn be described by an exact worldsheet cft a supergravity analysis is shown to imply that the global supergroup is osp44 with 16 supercharges and an affine extension given surprisingly by a nonlinear n8 2d superconformal algebra possible supergroups with 16 supercharges are also found to match the expected symmetries for tn compactification with 0n7
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708.0017
Greybody Factors for d-Dimensional Black Holes
Gravitational greybody factors are analytically computed for static, spherically symmetric black holes in d-dimensions, including black holes with charge and in the presence of a cosmological constant (where a proper definition of greybody factors for both asymptotically dS and AdS spacetimes is provided). This calculation includes both the low-energy case --where the frequency of the scattered wave is small and real-- and the asymptotic case --where the frequency of the scattered wave is very large along the imaginary axis-- addressing gravitational perturbations as described by the Ishibashi-Kodama master equations, and yielding full transmission and reflection scattering coefficients for all considered spacetime geometries. At low frequencies a general method is developed, which can be employed for all three types of spacetime asymptotics, and which is independent of the details of the black hole. For asymptotically dS black holes the greybody factor is different for even or odd spacetime dimension, and proportional to the ratio of the areas of the event and cosmological horizons. For asymptotically AdS black holes the greybody factor has a rich structure in which there are several critical frequencies where it equals either one (pure transmission) or zero (pure reflection, with these frequencies corresponding to the normal modes of pure AdS spacetime). At asymptotic frequencies the computation of the greybody factor uses a technique inspired by monodromy matching, and some universality is hidden in the transmission and reflection coefficients. For either charged or asymptotically dS black holes the greybody factors are given by non-trivial functions, while for asymptotically AdS black holes the greybody factor precisely equals one (corresponding to pure blackbody emission).
hep-th astro-ph gr-qc hep-ph
gravitational greybody factors are analytically computed for static spherically symmetric black holes in ddimensions including black holes with charge and in the presence of a cosmological constant where a proper definition of greybody factors for both asymptotically ds and ads spacetimes is provided this calculation includes both the lowenergy case where the frequency of the scattered wave is small and real and the asymptotic case where the frequency of the scattered wave is very large along the imaginary axis addressing gravitational perturbations as described by the ishibashikodama master equations and yielding full transmission and reflection scattering coefficients for all considered spacetime geometries at low frequencies a general method is developed which can be employed for all three types of spacetime asymptotics and which is independent of the details of the black hole for asymptotically ds black holes the greybody factor is different for even or odd spacetime dimension and proportional to the ratio of the areas of the event and cosmological horizons for asymptotically ads black holes the greybody factor has a rich structure in which there are several critical frequencies where it equals either one pure transmission or zero pure reflection with these frequencies corresponding to the normal modes of pure ads spacetime at asymptotic frequencies the computation of the greybody factor uses a technique inspired by monodromy matching and some universality is hidden in the transmission and reflection coefficients for either charged or asymptotically ds black holes the greybody factors are given by nontrivial functions while for asymptotically ads black holes the greybody factor precisely equals one corresponding to pure blackbody emission
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708.0018
q-Terms, singularities and the extended Bloch group
Our paper originated from a generalization of the Volume Conjecture to multisums of $q$-hypergeometric terms. This generalization was sketched by Kontsevich in a problem list in Aarhus University in 2006; \cite{Ko}. We introduce the notion of a $q$-hypergeometric term (in short, $q$-term). The latter is a product of ratios of $q$-factorials in linear forms in several variables. In the first part of the paper, we show how to construct elements of the Bloch group (and its extended version) given a \qterm. Their image under the Bloch-Wigner map or the Rogers dilogarithm is a finite set of periods of weight 2, in the sense of Kontsevich-Zagier. In the second part of the paper we introduce the notion of a special $q$-term, its corresponding sequence of polynomials, and its generating series. Examples of special $q$-terms come naturally from Quantum Topology, and in particular from planar projections of knots. The two parts are tied together by a conjecture that relates the singularities of the generating series of a special $q$-term with the periods of the corresponding elements of the extended Bloch group. In some cases (such as the $4_1$ knot), the conjecture is known.
math.AG math.NT
our paper originated from a generalization of the volume conjecture to multisums of qhypergeometric terms this generalization was sketched by kontsevich in a problem list in aarhus university in 2006 citeko we introduce the notion of a qhypergeometric term in short qterm the latter is a product of ratios of qfactorials in linear forms in several variables in the first part of the paper we show how to construct elements of the bloch group and its extended version given a qterm their image under the blochwigner map or the rogers dilogarithm is a finite set of periods of weight 2 in the sense of kontsevichzagier in the second part of the paper we introduce the notion of a special qterm its corresponding sequence of polynomials and its generating series examples of special qterms come naturally from quantum topology and in particular from planar projections of knots the two parts are tied together by a conjecture that relates the singularities of the generating series of a special qterm with the periods of the corresponding elements of the extended bloch group in some cases such as the 4_1 knot the conjecture is known
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708.0019
Semigroups of valuations on local rings
In this paper the question of which semigroups are realizable as the semigroup of values attained on a Noetherian local ring which is dominated by a valuation is considered. We give some striking examples, indicating that there may be no constraints on the semigroup beyond those known classically.
math.AG math.AC
in this paper the question of which semigroups are realizable as the semigroup of values attained on a noetherian local ring which is dominated by a valuation is considered we give some striking examples indicating that there may be no constraints on the semigroup beyond those known classically
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708.002
Spin solitons in magnetized pair plasmas
A set of fluid equations, taking into account the spin properties of the electrons and positrons in a magnetoplasma, are derived. The magnetohydrodynamic limit of the pair plasma is investigated. It is shown that the microscopic spin properties of the electrons and positrons can lead to interesting macroscopic and collective effects in strongly magnetized plasmas. In particular, it is found that new Alfvenic solitary structures, governed by a modified Korteweg-de Vries equation, are allowed in such plasmas. These solitary structures vanish if the quantum spin effects are neglected. Our results should be of relevance for astrophysical plasmas, e.g. in pulsar magnetospheres.
physics.plasm-ph astro-ph
a set of fluid equations taking into account the spin properties of the electrons and positrons in a magnetoplasma are derived the magnetohydrodynamic limit of the pair plasma is investigated it is shown that the microscopic spin properties of the electrons and positrons can lead to interesting macroscopic and collective effects in strongly magnetized plasmas in particular it is found that new alfvenic solitary structures governed by a modified kortewegde vries equation are allowed in such plasmas these solitary structures vanish if the quantum spin effects are neglected our results should be of relevance for astrophysical plasmas eg in pulsar magnetospheres
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708.0021
Protein-DNA interactions: reaching and recognizing the targets
This paper has been withdrawn because of the requirement from the journal where the modified version of the paper is to be published.
cond-mat.soft cond-mat.stat-mech
this paper has been withdrawn because of the requirement from the journal where the modified version of the paper is to be published
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708.0022
Embedding the Pentagon
The Pentagon Model is an explicit supersymmetric extension of the Standard Model, which involves a new strongly-interacting SU(5) gauge theory at TeV-scale energies. We show that the Pentagon can be embedded into an SU(5) x SU(5) x SU(5) gauge group at the GUT scale. The doublet-triplet splitting problem, and proton decay compatible with experimental bounds, can be successfully addressed in this context. The simplest approach fails to provide masses for the lighter two generations of quarks and leptons; however, this problem can be solved by the addition of a pair of antisymmetric tensor fields and an axion.
hep-th hep-ph
the pentagon model is an explicit supersymmetric extension of the standard model which involves a new stronglyinteracting su5 gauge theory at tevscale energies we show that the pentagon can be embedded into an su5 x su5 x su5 gauge group at the gut scale the doublettriplet splitting problem and proton decay compatible with experimental bounds can be successfully addressed in this context the simplest approach fails to provide masses for the lighter two generations of quarks and leptons however this problem can be solved by the addition of a pair of antisymmetric tensor fields and an axion
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708.0023
Renormalized spin wave excitations in the antiferromagnetic Heisenberg-Kondo model for heavy fermions
Recent inelastic neutron scattering experiments in CeIn3 and CePd2Si2 single crystals, measured spin wave excitations at low temperatures. These two heavy fermion compounds exhibit antiferromagnetic long-range order, but a strong competition between the Ruderman-Kittel-Kasuya-Yosida(RKKY) interaction and Kondo effect is evidenced by their nearly equal Neel and Kondo temperatures. Our aim is to show how magnons such as measured in the antiferromagnetic phase of these Ce compounds, can be described with a microscopic Heisenberg-Kondo model as introduced by J.R.Iglesias, C.Lacroix and B.Coqblin, used before for studies of the non-magnetic phase. The model includes the correlated Ce-4f electrons hybridized with the conduction band, and we consider competing RKKY (Heisenberg-like J_{H}) and Kondo (J_{K}) antiferromagnetic couplings. Carrying on a series of unitary transformations, we perturbatively derive a second-order effective Hamiltonian which, projected onto the antiferromagnetic electron ground state, describes the spin wave excitations, renormalized by their interaction with correlated itinerant electrons. We numerically study how the different parameters of the model influence the renormalization of the magnons, yielding useful information for the analysis of inelastic neutron scattering experiments in antiferromagnetic heavy fermion compounds. We also compare our results with available experimental data, finding good agreement with the spin wave measurements in cubic CeIn3.
cond-mat.str-el
recent inelastic neutron scattering experiments in cein3 and cepd2si2 single crystals measured spin wave excitations at low temperatures these two heavy fermion compounds exhibit antiferromagnetic longrange order but a strong competition between the rudermankittelkasuyayosidarkky interaction and kondo effect is evidenced by their nearly equal neel and kondo temperatures our aim is to show how magnons such as measured in the antiferromagnetic phase of these ce compounds can be described with a microscopic heisenbergkondo model as introduced by jriglesias clacroix and bcoqblin used before for studies of the nonmagnetic phase the model includes the correlated ce4f electrons hybridized with the conduction band and we consider competing rkky heisenberglike j_h and kondo j_k antiferromagnetic couplings carrying on a series of unitary transformations we perturbatively derive a secondorder effective hamiltonian which projected onto the antiferromagnetic electron ground state describes the spin wave excitations renormalized by their interaction with correlated itinerant electrons we numerically study how the different parameters of the model influence the renormalization of the magnons yielding useful information for the analysis of inelastic neutron scattering experiments in antiferromagnetic heavy fermion compounds we also compare our results with available experimental data finding good agreement with the spin wave measurements in cubic cein3
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708.0024
The Mirage of w=-1
We demonstrate that cosmic microwave background observations consistent with a cosmological constant universe predict in a well-defined sense that lower redshift measures will nearly automatically deliver w=-1 for the dark energy equation of state value unless they are sensitive to w(z). Thus low redshift data pointing to w=-1 does not truly argue for a cosmological constant. Even the simplest question of whether the equation of state of dark energy is equal to the cosmological constant therefore requires experiments able to sensitively constrain time variation w(z) and not merely a constant w. We also note a number of issues regarding parametrization of w(z), demonstrating that the standard form w(z)=w_0+w_a z/(1+z) is robust but use of high order polynomials and cutting off the high redshift behavior can be pathological.
astro-ph
we demonstrate that cosmic microwave background observations consistent with a cosmological constant universe predict in a welldefined sense that lower redshift measures will nearly automatically deliver w1 for the dark energy equation of state value unless they are sensitive to wz thus low redshift data pointing to w1 does not truly argue for a cosmological constant even the simplest question of whether the equation of state of dark energy is equal to the cosmological constant therefore requires experiments able to sensitively constrain time variation wz and not merely a constant w we also note a number of issues regarding parametrization of wz demonstrating that the standard form wzw_0w_a z1z is robust but use of high order polynomials and cutting off the high redshift behavior can be pathological
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708.0025
Goal-oriented Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation
We give a goal-oriented a posteriori error estimator for the atomistic-continuum modeling error in the quasicontinuum method, and we use this estimator to design an adaptive algorithm to compute a quantity of interest to a given tolerance by using a nearly minimal number of atomistic degrees of freedom. We present computational results that demonstrate the effectiveness of our algorithm for a periodic array of dislocations described by a Frenkel-Kontorova type model.
math.NA math-ph math.MP
we give a goaloriented a posteriori error estimator for the atomisticcontinuum modeling error in the quasicontinuum method and we use this estimator to design an adaptive algorithm to compute a quantity of interest to a given tolerance by using a nearly minimal number of atomistic degrees of freedom we present computational results that demonstrate the effectiveness of our algorithm for a periodic array of dislocations described by a frenkelkontorova type model
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708.0026
CP Asymmetry in Charged Higgs Decays to Chargino-Neutralino
We analyze the charge-parity (CP) asymmetry in the charged Higgs boson decays to chargino-neutralino pairs, H^- -> chargino_i + neutralino_j. We show first that these modes have a large branching ratio for m_H^- > 600 GeV. We use Cutkosky rules to obtain the analytical formulas needed for the evaluation of the asymmetry under consideration. We then calculate the CP asymmetry in chargino-neutralino decays by including supersymmetric mass bounds, as well as constraints from b -> s gamma, (g-2)_mu, Delta\rho and electric dipole moments. Finally, we discuss observability of the asymmetry at the LHC by calculating the number of required charged Higgs events to observe the asymmetry for each decay channel. We show that the inclusion of constraints considerably reduces the projected CP asymmetry, and that the optimal channel for observing the asymmetry is H^- -> chargino_1 + neutralino_2.
hep-ph
we analyze the chargeparity cp asymmetry in the charged higgs boson decays to charginoneutralino pairs h chargino_i neutralino_j we show first that these modes have a large branching ratio for m_h 600 gev we use cutkosky rules to obtain the analytical formulas needed for the evaluation of the asymmetry under consideration we then calculate the cp asymmetry in charginoneutralino decays by including supersymmetric mass bounds as well as constraints from b s gamma g2_mu deltarho and electric dipole moments finally we discuss observability of the asymmetry at the lhc by calculating the number of required charged higgs events to observe the asymmetry for each decay channel we show that the inclusion of constraints considerably reduces the projected cp asymmetry and that the optimal channel for observing the asymmetry is h chargino_1 neutralino_2
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708.0027
The ACS Survey of Galactic Globular Clusters: M54 and Young Populations in the Sagittarius Dwarf Spheroidal Galaxy
We present new Hubble Space Telescope photometry of the massive globular cluster M54 (NGC 6715) and the superposed core of the tidally disrupted Sagittarius (Sgr) dSph galaxy as part of the ACS Survey of Galactic Globular Clusters. Our deep (F606W~26.5), high-precision photometry yields an unprecedentedly detailed color-magnitude diagram showing the extended blue horizontal branch and multiple main sequences of the M54+Sgr system. The distance and reddening to M54 are revised usingboth isochrone and main-sequence fitting to (m-M)_0=17.27 and E(B-V)=0.15. Preliminary assessment finds the M54+Sgr field to be dominated by the old metal-poor populations of Sgr and the globular cluster. Multiple turnoffs indicate the presence of at least two intermediate-aged star formation epochs with 4 and 6 Gyr ages and [Fe/H]=-0.4 to -0.6. We also clearly show, for the first time, a prominent, 2.3 Gyr old Sgr population of near-solar abundance. A trace population of even younger (0.1-0.8 Gyr old), more metal-rich ([Fe/H]\sim0.6) stars is also indicated. The Sgr age-metallicity relation is consistent with a closed-box model and multiple (4-5) star formation bursts over the entire life of the satellite, including the time since Sgr began disrupting.
astro-ph
we present new hubble space telescope photometry of the massive globular cluster m54 ngc 6715 and the superposed core of the tidally disrupted sagittarius sgr dsph galaxy as part of the acs survey of galactic globular clusters our deep f606w265 highprecision photometry yields an unprecedentedly detailed colormagnitude diagram showing the extended blue horizontal branch and multiple main sequences of the m54sgr system the distance and reddening to m54 are revised usingboth isochrone and mainsequence fitting to mm_01727 and ebv015 preliminary assessment finds the m54sgr field to be dominated by the old metalpoor populations of sgr and the globular cluster multiple turnoffs indicate the presence of at least two intermediateaged star formation epochs with 4 and 6 gyr ages and feh04 to 06 we also clearly show for the first time a prominent 23 gyr old sgr population of nearsolar abundance a trace population of even younger 0108 gyr old more metalrich fehsim06 stars is also indicated the sgr agemetallicity relation is consistent with a closedbox model and multiple 45 star formation bursts over the entire life of the satellite including the time since sgr began disrupting
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708.0028
High-pressure x-ray diffraction study of SrMoO4 and pressure-induced structural changes
SrMoO4 was studied under compression up to 25 GPa by angle-dispersive x-ray diffraction. A phase transition was observed from the scheelite-structured ambient phase to a monoclinic fergusonite phase at 12.2(9) GPa with cell parameters a = 5.265(9) A, b = 11.191(9) A, c = 5.195 (5) A, and beta = 90.9, Z = 4 at 13.1 GPa. There is no significant volume collapse at the phase transition. No additional phase transitions were observed and on release of pressure the initial phase is recovered, implying that the observed structural modifications are reversible. The reported transition appeared to be a ferroelastic second-order transformation producing a structure that is a monoclinic distortion of the low-pressure phase and was previously observed in compounds isostructural to SrMoO4. A possible mechanism for the transition is proposed and its character is discussed in terms of the present data and the Landau theory. Finally, the EOS is reported and the anisotropic compressibility of the studied crystal is discussed in terms of the compression of the Sr-O and Mo-O bonds.
cond-mat.mtrl-sci
srmoo4 was studied under compression up to 25 gpa by angledispersive xray diffraction a phase transition was observed from the scheelitestructured ambient phase to a monoclinic fergusonite phase at 1229 gpa with cell parameters a 52659 a b 111919 a c 5195 5 a and beta 909 z 4 at 131 gpa there is no significant volume collapse at the phase transition no additional phase transitions were observed and on release of pressure the initial phase is recovered implying that the observed structural modifications are reversible the reported transition appeared to be a ferroelastic secondorder transformation producing a structure that is a monoclinic distortion of the lowpressure phase and was previously observed in compounds isostructural to srmoo4 a possible mechanism for the transition is proposed and its character is discussed in terms of the present data and the landau theory finally the eos is reported and the anisotropic compressibility of the studied crystal is discussed in terms of the compression of the sro and moo bonds
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708.0029
Collective modes of CP(3) Skyrmion crystals in quantum Hall ferromagnets
The two-dimensional electron gas in a bilayer quantum Hall system can sustain an interlayer coherence at filling factor nu=1 even in the absence of tunneling between the layers. This system has low-energy charged excitations which may carry textures in real spin or pseudospin. Away from filling factor nu =1 a finite density of these is present in the ground state of the 2DEG and forms a crystal. Depending on the relative size of the various energy scales, such as tunneling (Delta_SAS), Zeeman coupling (Delta_Z) or electrical bias (Delta_b), these textured crystal states can involve spin, pseudospin, or both intertwined. In this article, we present a comprehensive numerical study of the collective excitations of these textured crystals using the GRPA. For the pure spin case, at finite Zeeman coupling the state is a Skyrmion crystal with a gapless phonon mode, and a separate Goldstone mode that arises from a broken U(1) symmetry. At zero Zeeman coupling, we demonstrate that the constituent Skyrmions break up, and the resulting state is a meron crystal with 4 gapless modes. In contrast, a pure pseudospin Skyrme crystal at finite tunneling has only the phonon mode. For Delta_SAS=0, the state evolves into a meron crystal and supports an extra gapless U(1) mode in addition to the phonon. For a CP(3) Skyrmion crystal, we find a U(1) gapless mode in the presence of the symmetry-breaking fields. In addition, a second mode with a very small gap is present in the spectrum.
cond-mat.mes-hall
the twodimensional electron gas in a bilayer quantum hall system can sustain an interlayer coherence at filling factor nu1 even in the absence of tunneling between the layers this system has lowenergy charged excitations which may carry textures in real spin or pseudospin away from filling factor nu 1 a finite density of these is present in the ground state of the 2deg and forms a crystal depending on the relative size of the various energy scales such as tunneling delta_sas zeeman coupling delta_z or electrical bias delta_b these textured crystal states can involve spin pseudospin or both intertwined in this article we present a comprehensive numerical study of the collective excitations of these textured crystals using the grpa for the pure spin case at finite zeeman coupling the state is a skyrmion crystal with a gapless phonon mode and a separate goldstone mode that arises from a broken u1 symmetry at zero zeeman coupling we demonstrate that the constituent skyrmions break up and the resulting state is a meron crystal with 4 gapless modes in contrast a pure pseudospin skyrme crystal at finite tunneling has only the phonon mode for delta_sas0 the state evolves into a meron crystal and supports an extra gapless u1 mode in addition to the phonon for a cp3 skyrmion crystal we find a u1 gapless mode in the presence of the symmetrybreaking fields in addition a second mode with a very small gap is present in the spectrum
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708.003
A Galaxy Photometric Redshift Catalog for the Sloan Digital Sky Survey Data Release 6
We present and describe a catalog of galaxy photometric redshifts (photo-z's) for the Sloan Digital Sky Survey (SDSS) Data Release 6 (DR6). We use the Artificial Neural Network (ANN) technique to calculate photo-z's and the Nearest Neighbor Error (NNE) method to estimate photo-z errors for ~ 77 million objects classified as galaxies in DR6 with r < 22. The photo-z and photo-z error estimators are trained and validated on a sample of ~ 640,000 galaxies that have SDSS photometry and spectroscopic redshifts measured by SDSS, 2SLAQ, CFRS, CNOC2, TKRS, DEEP, and DEEP2. For the two best ANN methods we have tried, we find that 68% of the galaxies in the validation set have a photo-z error smaller than sigma_{68} =0.021 or $0.024. After presenting our results and quality tests, we provide a short guide for users accessing the public data.
astro-ph
we present and describe a catalog of galaxy photometric redshifts photozs for the sloan digital sky survey sdss data release 6 dr6 we use the artificial neural network ann technique to calculate photozs and the nearest neighbor error nne method to estimate photoz errors for 77 million objects classified as galaxies in dr6 with r 22 the photoz and photoz error estimators are trained and validated on a sample of 640000 galaxies that have sdss photometry and spectroscopic redshifts measured by sdss 2slaq cfrs cnoc2 tkrs deep and deep2 for the two best ann methods we have tried we find that 68 of the galaxies in the validation set have a photoz error smaller than sigma_68 0021 or 0024 after presenting our results and quality tests we provide a short guide for users accessing the public data
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708.0031
Lensing Corrections to Features in the Angular Two-Point Correlation Function and Power Spectrum
It is well known that magnification bias, the modulation of galaxy or quasar source counts by gravitational lensing, can change the observed angular correlation function. We investigate magnification-induced changes to the shape of the observed correlation function w(\theta) and the angular power spectrum C_{\ell}, paying special attention to the matter-radiation equality peak and the baryon wiggles. Lensing mixes the correlation function of the source galaxies with the matter correlation at the lower redshifts of the lenses. Since the lenses probe structure nearer to the observer, the angular scale dependence of the lensing terms is different from that of the sources, thus the observed correlation function is distorted. We quantify how the lensing corrections depend on the width of the selection function, the galaxy bias b, and the number count slope s. The correction increases with redshift and larger corrections are present for sources with steep number count slopes and/or broad redshift distributions. The most drastic changes to C_{\ell} occur for measurements at z >~1.5 and \ell <~ 100. For the source distributions we consider, magnification bias can shift the matter-radiation equality scale by 1-6% at z ~ 1.5 and by z ~ 3.5 the shift can be as large as 30%. The baryon bump in \theta^2w(\theta) is shifted by <~ 1% and the width is typically increased by ~10%. Shifts of >~ 0.5% and broadening of >~ 20% occur only for very broad selection functions and/or galaxies with (5s-2)/b>~2. However, near the baryon bump the magnification correction is not constant but a gently varying function which depends on the source population. Depending on how the w(\theta) data is fitted, this correction may need to be accounted for when using the baryon acoustic scale for precision cosmology.
astro-ph
it is well known that magnification bias the modulation of galaxy or quasar source counts by gravitational lensing can change the observed angular correlation function we investigate magnificationinduced changes to the shape of the observed correlation function wtheta and the angular power spectrum c_ell paying special attention to the matterradiation equality peak and the baryon wiggles lensing mixes the correlation function of the source galaxies with the matter correlation at the lower redshifts of the lenses since the lenses probe structure nearer to the observer the angular scale dependence of the lensing terms is different from that of the sources thus the observed correlation function is distorted we quantify how the lensing corrections depend on the width of the selection function the galaxy bias b and the number count slope s the correction increases with redshift and larger corrections are present for sources with steep number count slopes andor broad redshift distributions the most drastic changes to c_ell occur for measurements at z 15 and ell 100 for the source distributions we consider magnification bias can shift the matterradiation equality scale by 16 at z 15 and by z 35 the shift can be as large as 30 the baryon bump in theta2wtheta is shifted by 1 and the width is typically increased by 10 shifts of 05 and broadening of 20 occur only for very broad selection functions andor galaxies with 5s2b2 however near the baryon bump the magnification correction is not constant but a gently varying function which depends on the source population depending on how the wtheta data is fitted this correction may need to be accounted for when using the baryon acoustic scale for precision cosmology
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708.0032
Towards conformal invariance of 2D lattice models
Many 2D lattice models of physical phenomena are conjectured to have conformally invariant scaling limits: percolation, Ising model, self-avoiding polymers, ... This has led to numerous exact (but non-rigorous) predictions of their scaling exponents and dimensions. We will discuss how to prove the conformal invariance conjectures, especially in relation to Schramm-Loewner Evolution.
math-ph math.CV math.MP math.PR
many 2d lattice models of physical phenomena are conjectured to have conformally invariant scaling limits percolation ising model selfavoiding polymers this has led to numerous exact but nonrigorous predictions of their scaling exponents and dimensions we will discuss how to prove the conformal invariance conjectures especially in relation to schrammloewner evolution
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708.0033
Survey Requirements for Accurate and Precise Photometric Redshifts for Type Ia Supernovae
In this paper we advance the simple analytic photometric redshift estimator for Type Ia supernovae (SNe Ia) proposed by Wang (2007), and use it to study simulated SN Ia data. We find that better than 0.5% accuracy in z_phot (with RMS[(z_phot-z_spec)/(1+z_spec)]<0.005) is possible for SNe Ia with well sampled lightcurves in three observed passbands (riz) with a signal-to-noise ratio of 25 at peak brightness, if the extinction by dust is negligible. The corresponding bias in z_phot (the mean of (z_phot-z_spec)) is 5.4\times 10^{-4}. If dust extinction is taken into consideration in the riz observer-frame lightcurves, the accuracy in z_phot deteriorates to 4.4%, with a bias in z_phot of 8.0\times 10^{-3}. Adding the g band lightcurve improves the accuracy in z_phot to 2.5%, and reduces the bias in z_phot to -1.5\times 10^{-3}. Our results have significant implications for the design of future photometric surveys of SNe Ia from both ground and space telescopes. Accurate and precise photometric redshifts boost the cosmological utility of such surveys.
astro-ph
in this paper we advance the simple analytic photometric redshift estimator for type ia supernovae sne ia proposed by wang 2007 and use it to study simulated sn ia data we find that better than 05 accuracy in z_phot with rmsz_photz_spec1z_spec0005 is possible for sne ia with well sampled lightcurves in three observed passbands riz with a signaltonoise ratio of 25 at peak brightness if the extinction by dust is negligible the corresponding bias in z_phot the mean of z_photz_spec is 54times 104 if dust extinction is taken into consideration in the riz observerframe lightcurves the accuracy in z_phot deteriorates to 44 with a bias in z_phot of 80times 103 adding the g band lightcurve improves the accuracy in z_phot to 25 and reduces the bias in z_phot to 15times 103 our results have significant implications for the design of future photometric surveys of sne ia from both ground and space telescopes accurate and precise photometric redshifts boost the cosmological utility of such surveys
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708.0034
Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks
An analytic formulation of memory-possessing random walks introduced recently [Cressoni et al., Phys. Rev. Lett. 98, 070603 (2007) and Sch\"utz and Trimper, Phys. Rev. E 70, 045101 (2004)] for Alzheimer behavior and related phenomena is provided along with exact solutions on the basis of Fokker-Planck equations. The solution of a delay-differential equation derived for the purpose is shown to produce log-periodic oscillations and to coincide rather accurately with previously published computer simulation results. Generalizations along several directions are also constructed on the basis of the formalism.
cond-mat.stat-mech
an analytic formulation of memorypossessing random walks introduced recently cressoni et al phys rev lett 98 070603 2007 and schutz and trimper phys rev e 70 045101 2004 for alzheimer behavior and related phenomena is provided along with exact solutions on the basis of fokkerplanck equations the solution of a delaydifferential equation derived for the purpose is shown to produce logperiodic oscillations and to coincide rather accurately with previously published computer simulation results generalizations along several directions are also constructed on the basis of the formalism
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708.0035
Polarization probes of vorticity in heavy ion collisions
We discuss the information that can be deduced from a measurement of particle (hyperon or vector meson) polarization in ultrarelativistic nuclear collisions. We describe the sensitivity of polarization to initial conditions, hydrodynamic evolution and mean free path, and find that the polarization observable is sensitive to all details and stages of the system's evolution. We suggest that an experimental investigation covering production plane and reaction plane polarizations, as well as the polarization of jet-associated particles in the plane defined by the jet and particle direction, can help in disentangling the factors contributing to this observable. Scans of polarization in energy and rapidity might also point to a change in the system's properties.
nucl-th hep-ph nucl-ex
we discuss the information that can be deduced from a measurement of particle hyperon or vector meson polarization in ultrarelativistic nuclear collisions we describe the sensitivity of polarization to initial conditions hydrodynamic evolution and mean free path and find that the polarization observable is sensitive to all details and stages of the systems evolution we suggest that an experimental investigation covering production plane and reaction plane polarizations as well as the polarization of jetassociated particles in the plane defined by the jet and particle direction can help in disentangling the factors contributing to this observable scans of polarization in energy and rapidity might also point to a change in the systems properties
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708.0036
Unparticle Physics with Jets
Using methods of effective field theory, we show that after resummation of Sudakov logarithms the spectral densities of interacting quark and gluon fields in ordinary quantum field theories such as QCD are virtually indistinguishable from those of "unparticles" of a hypothetical conformal sector coupled to the Standard Model, recently studied by Georgi. Unparticles are therefore less exotic that originally thought. Models in which a hidden sector weakly coupled to the Standard Model contains a QCD-like theory, which confines at some scale much below the characteristic energy of a given process, can give rise to signatures closely resembling those from unparticles.
hep-ph
using methods of effective field theory we show that after resummation of sudakov logarithms the spectral densities of interacting quark and gluon fields in ordinary quantum field theories such as qcd are virtually indistinguishable from those of unparticles of a hypothetical conformal sector coupled to the standard model recently studied by georgi unparticles are therefore less exotic that originally thought models in which a hidden sector weakly coupled to the standard model contains a qcdlike theory which confines at some scale much below the characteristic energy of a given process can give rise to signatures closely resembling those from unparticles
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708.0037
From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional
The Ashtekar-Barbero constraints for General Relativity with fermions are derived from the Einstein-Cartan canonical theory rescaling the state functional of the gravity-spinor coupled system by the exponential of the Nieh-Yan functional. A one parameter quantization ambiguity naturally appears and can be associated with the Immirzi parameter.
gr-qc
the ashtekarbarbero constraints for general relativity with fermions are derived from the einsteincartan canonical theory rescaling the state functional of the gravityspinor coupled system by the exponential of the niehyan functional a one parameter quantization ambiguity naturally appears and can be associated with the immirzi parameter
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708.0038
Tracking the Orbital and Super-orbital Periods of SMC X-1
The High Mass X-ray Binary (HMXB) SMC X-1 demonstrates an orbital variation of 3.89 days and a super-orbital variation with an average length of 55 days. As we show here, however, the length of the super-orbital cycle varies by almost a factor of two, even across adjacent cycles. To study both the orbital and super-orbital variation we utilize lightcurves from the Rossi X-ray Timing Explorer All Sky Monitor (RXTE-ASM). We employ the orbital ephemeris from Wojdowski et al. (1998) to obtain the average orbital profile, and we show that this profile exhibits complex modulation during non-eclipse phases. Additionally, a very interesting ``bounceback'' in X-ray count rate is seen during mid-orbital eclipse phases, with a softening of the emission during these periods. This bounceback has not been previously identified in pointed observations. We then define a super-orbital ephemeris (the phase of the super-orbital cycle as a function of date) based on the ASM lightcurve and analyze the trend and distribution of super-orbital cycle lengths. SMC X-1 exhibits a bimodal distribution of these lengths, similar to what has been observed in other systems (e.g., Her X-1), but with more dramatic changes in cycle length. There is some hint, but not conclusive evidence, for a dependence of the super-orbital cycle length upon the underlying orbital period, as has been observed previously for Her X-1 and Cyg X-2. Using our super-orbital ephemeris we are also able to create an average super-orbital profile over the 71 observed cycles, for which we witness overall hardening of the spectrum during low count rate times. We combine the orbital and super-orbital ephemerides to study the correlation between the orbital and super-orbital variations in the system.
astro-ph
the high mass xray binary hmxb smc x1 demonstrates an orbital variation of 389 days and a superorbital variation with an average length of 55 days as we show here however the length of the superorbital cycle varies by almost a factor of two even across adjacent cycles to study both the orbital and superorbital variation we utilize lightcurves from the rossi xray timing explorer all sky monitor rxteasm we employ the orbital ephemeris from wojdowski et al 1998 to obtain the average orbital profile and we show that this profile exhibits complex modulation during noneclipse phases additionally a very interesting bounceback in xray count rate is seen during midorbital eclipse phases with a softening of the emission during these periods this bounceback has not been previously identified in pointed observations we then define a superorbital ephemeris the phase of the superorbital cycle as a function of date based on the asm lightcurve and analyze the trend and distribution of superorbital cycle lengths smc x1 exhibits a bimodal distribution of these lengths similar to what has been observed in other systems eg her x1 but with more dramatic changes in cycle length there is some hint but not conclusive evidence for a dependence of the superorbital cycle length upon the underlying orbital period as has been observed previously for her x1 and cyg x2 using our superorbital ephemeris we are also able to create an average superorbital profile over the 71 observed cycles for which we witness overall hardening of the spectrum during low count rate times we combine the orbital and superorbital ephemerides to study the correlation between the orbital and superorbital variations in the system
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708.0039
Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
We construct discrete holomorphic observables in the Ising model at criticality and show that they have conformally covariant scaling limits (as mesh of the lattice tends to zero). In the sequel those observables are used to construct conformally invariant scaling limits of interfaces. Though Ising model is often cited as a classical example of conformal invariance, it seems that ours is the first paper where it is actually established.
math-ph math.MP math.PR
we construct discrete holomorphic observables in the ising model at criticality and show that they have conformally covariant scaling limits as mesh of the lattice tends to zero in the sequel those observables are used to construct conformally invariant scaling limits of interfaces though ising model is often cited as a classical example of conformal invariance it seems that ours is the first paper where it is actually established
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708.004
An exact chiral spin liquid with non-Abelian anyons
We establish the existence of a chiral spin liquid (CSL) as the exact ground state of the Kitaev model on a decorated honeycomb lattice, which is obtained by replacing each site in the familiar honeycomb lattice with a triangle. The CSL state spontaneously breaks time reversal symmetry but preserves other symmetries. There are two topologically distinct CSLs separated by a quantum critical point. Interestingly, vortex excitations in the topologically nontrivial (Chern number $\pm 1$) CSL obey non-Abelian statistics.
cond-mat.str-el cond-mat.mes-hall
we establish the existence of a chiral spin liquid csl as the exact ground state of the kitaev model on a decorated honeycomb lattice which is obtained by replacing each site in the familiar honeycomb lattice with a triangle the csl state spontaneously breaks time reversal symmetry but preserves other symmetries there are two topologically distinct csls separated by a quantum critical point interestingly vortex excitations in the topologically nontrivial chern number pm 1 csl obey nonabelian statistics
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708.0041
Microscopic Wrinkles on Supported Surfactant Monolayers
We discuss mechanical buckling instabilities of a rigid film under compression interacting repulsively with a substrate through a thin fluid layer. The buckling occurs at a characteristic wavelength that increases as the 1/4th power of the bending stiffness, like a gravitational instability studied previously by Milner et al. However, the potential can affect the characteristic buckling wavelength strongly, as predicted by Huang and Suo. If the potential changes sufficiently sharply with thickness, this instability is continuous, with an amplitude varying as the square root of overpressure. We discuss three forms of interaction important for the case of Langmuir monolayers transferred to a substrate: Casimir-van der Waals interaction, screened charged double-layer interaction and the Sharma potential. We verify these predictions numerically in the Van der Waals case.
cond-mat.soft
we discuss mechanical buckling instabilities of a rigid film under compression interacting repulsively with a substrate through a thin fluid layer the buckling occurs at a characteristic wavelength that increases as the 14th power of the bending stiffness like a gravitational instability studied previously by milner et al however the potential can affect the characteristic buckling wavelength strongly as predicted by huang and suo if the potential changes sufficiently sharply with thickness this instability is continuous with an amplitude varying as the square root of overpressure we discuss three forms of interaction important for the case of langmuir monolayers transferred to a substrate casimirvan der waals interaction screened charged doublelayer interaction and the sharma potential we verify these predictions numerically in the van der waals case
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708.0042
A solid angle theory for real polytopes
We extend many theorems from the context of solid angle sums over rational polytopes to the context of solid angle sums over real polytopes. Moreover, we consider any real dilation parameter, as opposed to the traditional integer dilation parameters. One of the main results is an extension of Macdonald's solid angle quasipolynomial for rational polytopes to a real analytic function of the dilation parameter, for any real convex polytope.
math.CO math.AC
we extend many theorems from the context of solid angle sums over rational polytopes to the context of solid angle sums over real polytopes moreover we consider any real dilation parameter as opposed to the traditional integer dilation parameters one of the main results is an extension of macdonalds solid angle quasipolynomial for rational polytopes to a real analytic function of the dilation parameter for any real convex polytope
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708.0043
Quantifying structural damage from self-irradiation in a plutonium superconductor
The 18.5 K superconductor PuCoGa5 has many unusual properties, including those due to damage induced by self-irradiation. The superconducting transition temperature decreases sharply with time, suggesting a radiation-induced Frenkel defect concentration much larger than predicted by current radiation damage theories. Extended x-ray absorption fine-structure measurements demonstrate that while the local crystal structure in fresh material is well ordered, aged material is disordered much more strongly than expected from simple defects, consistent with strong disorder throughout the damage cascade region. These data highlight the potential impact of local lattice distortions relative to defects on the properties of irradiated materials and underscore the need for more atomic-resolution structural comparisons between radiation damage experiments and theory.
cond-mat.str-el cond-mat.dis-nn cond-mat.mtrl-sci
the 185 k superconductor pucoga5 has many unusual properties including those due to damage induced by selfirradiation the superconducting transition temperature decreases sharply with time suggesting a radiationinduced frenkel defect concentration much larger than predicted by current radiation damage theories extended xray absorption finestructure measurements demonstrate that while the local crystal structure in fresh material is well ordered aged material is disordered much more strongly than expected from simple defects consistent with strong disorder throughout the damage cascade region these data highlight the potential impact of local lattice distortions relative to defects on the properties of irradiated materials and underscore the need for more atomicresolution structural comparisons between radiation damage experiments and theory
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708.0044
Exploring the Local Milky Way: M Dwarfs as Tracers of Galactic Populations
We have assembled a spectroscopic sample of low-mass dwarfs observed as part of the Sloan Digital Sky Survey along one Galactic sightline, designed to investigate the observable properties of the thin and thick disks. This sample of ~7400 K and M stars also has measured ugriz photometry, proper motions, and radial velocities. We have computed UVW space motion distributions, and investigate their structure with respect to vertical distance from the Galactic Plane. We place constraints on the velocity dispersions of the thin and thick disks, using two-component Gaussian fits. We also compare these kinematic distributions to a leading Galactic model. Finally, we investigate other possible observable differences between the thin and thick disks, such as color, active fraction and metallicity.
astro-ph
we have assembled a spectroscopic sample of lowmass dwarfs observed as part of the sloan digital sky survey along one galactic sightline designed to investigate the observable properties of the thin and thick disks this sample of 7400 k and m stars also has measured ugriz photometry proper motions and radial velocities we have computed uvw space motion distributions and investigate their structure with respect to vertical distance from the galactic plane we place constraints on the velocity dispersions of the thin and thick disks using twocomponent gaussian fits we also compare these kinematic distributions to a leading galactic model finally we investigate other possible observable differences between the thin and thick disks such as color active fraction and metallicity
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708.0045
Persistence of Induced Wormholes in Brane Worlds
Higher-dimensional black holes have long been considered within the context of brane worlds. Recently, it was shown that the brane-world ethos also permits the consideration of higher-dimensional wormholes. When such a wormhole, preexisting in the bulk, impinges upon our universe, taken to be a positive-tension 3-brane, it induces the creation in our universe of a wormhole of ordinary dimensionality. The throat of this wormhole might fully constrict, pinch off, and thus birth a baby universe. Alternatively, the induced wormhole might persist. I show that persistence is more likely and note that the persistent wormhole manifests as a particle-like object whose interaction with cosmic matter is purely gravitational. As such it may be considered a viable candidate for the sort of weakly interacting massive particle long believed to be the prime constituent of cold dark matter.
gr-qc
higherdimensional black holes have long been considered within the context of brane worlds recently it was shown that the braneworld ethos also permits the consideration of higherdimensional wormholes when such a wormhole preexisting in the bulk impinges upon our universe taken to be a positivetension 3brane it induces the creation in our universe of a wormhole of ordinary dimensionality the throat of this wormhole might fully constrict pinch off and thus birth a baby universe alternatively the induced wormhole might persist i show that persistence is more likely and note that the persistent wormhole manifests as a particlelike object whose interaction with cosmic matter is purely gravitational as such it may be considered a viable candidate for the sort of weakly interacting massive particle long believed to be the prime constituent of cold dark matter
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708.0046
Sparse and stable Markowitz portfolios
We consider the problem of portfolio selection within the classical Markowitz mean-variance framework, reformulated as a constrained least-squares regression problem. We propose to add to the objective function a penalty proportional to the sum of the absolute values of the portfolio weights. This penalty regularizes (stabilizes) the optimization problem, encourages sparse portfolios (i.e. portfolios with only few active positions), and allows to account for transaction costs. Our approach recovers as special cases the no-short-positions portfolios, but does allow for short positions in limited number. We implement this methodology on two benchmark data sets constructed by Fama and French. Using only a modest amount of training data, we construct portfolios whose out-of-sample performance, as measured by Sharpe ratio, is consistently and significantly better than that of the naive evenly-weighted portfolio which constitutes, as shown in recent literature, a very tough benchmark.
q-fin.PM math.FA stat.AP
we consider the problem of portfolio selection within the classical markowitz meanvariance framework reformulated as a constrained leastsquares regression problem we propose to add to the objective function a penalty proportional to the sum of the absolute values of the portfolio weights this penalty regularizes stabilizes the optimization problem encourages sparse portfolios ie portfolios with only few active positions and allows to account for transaction costs our approach recovers as special cases the noshortpositions portfolios but does allow for short positions in limited number we implement this methodology on two benchmark data sets constructed by fama and french using only a modest amount of training data we construct portfolios whose outofsample performance as measured by sharpe ratio is consistently and significantly better than that of the naive evenlyweighted portfolio which constitutes as shown in recent literature a very tough benchmark
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708.0047
High energy scattering in Quantum Chromodynamics
In this series of three lectures, we discuss several aspects of high energy scattering among hadrons in Quantum Chromodynamics. The first lecture is devoted to a description of the parton model, Bjorken scaling and the scaling violations due to the evolution of parton distributions with the transverse resolution scale. The second lecture describes parton evolution at small momentum fraction x, the phenomenon of gluon saturation and the Color Glass Condensate (CGC). In the third lecture, we present the application of the CGC to the study of high energy hadronic collisions, with emphasis on nucleus-nucleus collisions. In particular, we provide the outline of a proof of high energy factorization for inclusive gluon production.
hep-ph nucl-th
in this series of three lectures we discuss several aspects of high energy scattering among hadrons in quantum chromodynamics the first lecture is devoted to a description of the parton model bjorken scaling and the scaling violations due to the evolution of parton distributions with the transverse resolution scale the second lecture describes parton evolution at small momentum fraction x the phenomenon of gluon saturation and the color glass condensate cgc in the third lecture we present the application of the cgc to the study of high energy hadronic collisions with emphasis on nucleusnucleus collisions in particular we provide the outline of a proof of high energy factorization for inclusive gluon production
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708.0048
A renormalization approach to irrational rotations
We introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $\beta \mapsto \set{\alpha+\beta}$, $\alpha \in \R\setminus \Q$. In particular we obtain sharp results for the diffusion of the walk on $\Z$ generated by the location of points of the sequence $\{n\alpha +\beta\}$ on a binary partition of the unit interval. Finally we give some applications of our method.
math.DS math.NT
we introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle beta mapsto setalphabeta alpha in rsetminus q in particular we obtain sharp results for the diffusion of the walk on z generated by the location of points of the sequence nalpha beta on a binary partition of the unit interval finally we give some applications of our method
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