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710.2853
Exotic hadrons and SU(3) chiral dynamics
We explore a possibility to generate exotic hadrons dynamically in the scattering of hadrons. The s-wave scattering amplitude of an arbitrary hadron with the Nambu-Goldstone boson is constructed so as to satisfy the unitarity condition and the chiral low energy theorem. We find that the chiral interaction for the exotic channels is in most cases repulsive, and that the strength of the possible attractive interaction is uniquely determined. We show that the attractive interaction in exotic channels is not strong enough to generate a bound state, while the interaction in nonexotic channel generate bound states which are considered to be the origin of some resonances observed in nature.
hep-ph nucl-th
we explore a possibility to generate exotic hadrons dynamically in the scattering of hadrons the swave scattering amplitude of an arbitrary hadron with the nambugoldstone boson is constructed so as to satisfy the unitarity condition and the chiral low energy theorem we find that the chiral interaction for the exotic channels is in most cases repulsive and that the strength of the possible attractive interaction is uniquely determined we show that the attractive interaction in exotic channels is not strong enough to generate a bound state while the interaction in nonexotic channel generate bound states which are considered to be the origin of some resonances observed in nature
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710.2854
Diffraction in low-energy electron scattering from DNA: bridging gas phase and solid state theory
Using high-quality gas phase electron scattering calculations and multiple scattering theory, we attempt to gain insights on the radiation damage to DNA induced by secondary low-energy electrons in the condensed phase, and to bridge the existing gap with the gas phase theory and experiments. The origin of different resonant features (arising from single molecules or diffraction) is discussed and the calculations are compared to existing experiments in thin films.
physics.chem-ph physics.bio-ph
using highquality gas phase electron scattering calculations and multiple scattering theory we attempt to gain insights on the radiation damage to dna induced by secondary lowenergy electrons in the condensed phase and to bridge the existing gap with the gas phase theory and experiments the origin of different resonant features arising from single molecules or diffraction is discussed and the calculations are compared to existing experiments in thin films
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710.2855
Comparison between 2-D and 3-D codes in dynamical simulations of gas flow in barred galaxies
Context: One of the ways to determine the contribution of the dark halo to the gravitational potential of a galaxy is the study of non-circular (streaming) motions and the associated gas shocks in the bar region. These motions, determined by the potential in the inner parts, can break the disk-halo degeneracy. Here, two main fluid dynamical approaches have been chosen to model the non-circular motions in the bar region; a 2-D Eulerian grid code for an isothermal gas (FS2) and a 3-D smoothed particle hydrodynamic code (N-body/SPH). Aims: The aim of this paper is to compare and quantify the differences of the gas flows in rotating barred potential obtained using two different fluid dynamical approaches. We analyse the effect of using 2-D and a 3-D codes in the calculation of gas flow in barred galaxies and to which extend the results are affected by the code. To do this, we derive the velocity field and density maps for the mass model of NGC 4123 using a 3-D N-body/SPH code and compare the results to the previous 2-D Eulerian grid code results. Methods: Numerical modelling, 3-D N-body/SPH simulations Results: The global velocity field and the gas distribution is very similar in both models. The study shows that the position and strength of the shocks developed in the SPH simulations do not vary significantly compared to the results derived from the 2-D FS2 code. The largest velocity difference across the shock is 20\kms between the 2-D and 3-D fluid dynamical models. Conclusions: The results obtained in the studies deriving the dark matter content of barred galaxies using the bar streaming motions and strength and position of shocks are robust to the fluid dynamical model used. The effect of 2-D and 3-D modelling can be neglected in this type of studies.
astro-ph
context one of the ways to determine the contribution of the dark halo to the gravitational potential of a galaxy is the study of noncircular streaming motions and the associated gas shocks in the bar region these motions determined by the potential in the inner parts can break the diskhalo degeneracy here two main fluid dynamical approaches have been chosen to model the noncircular motions in the bar region a 2d eulerian grid code for an isothermal gas fs2 and a 3d smoothed particle hydrodynamic code nbodysph aims the aim of this paper is to compare and quantify the differences of the gas flows in rotating barred potential obtained using two different fluid dynamical approaches we analyse the effect of using 2d and a 3d codes in the calculation of gas flow in barred galaxies and to which extend the results are affected by the code to do this we derive the velocity field and density maps for the mass model of ngc 4123 using a 3d nbodysph code and compare the results to the previous 2d eulerian grid code results methods numerical modelling 3d nbodysph simulations results the global velocity field and the gas distribution is very similar in both models the study shows that the position and strength of the shocks developed in the sph simulations do not vary significantly compared to the results derived from the 2d fs2 code the largest velocity difference across the shock is 20kms between the 2d and 3d fluid dynamical models conclusions the results obtained in the studies deriving the dark matter content of barred galaxies using the bar streaming motions and strength and position of shocks are robust to the fluid dynamical model used the effect of 2d and 3d modelling can be neglected in this type of studies
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710.2856
An asymptotic integral representation for Carleman orthogonal polynomials
In this paper we investigate the asymptotic behavior of polynomials that are orthonormal over the interior domain of an analytic Jordan curve L with respect to area measure. We prove that, inside L, these polynomials behave asymptotically like a sequence of certain integrals involving the canonical conformal map of the exterior of L onto the exterior of the unit circle and certain meromorphic kernel function defined in terms of a conformal map of the interior of L onto the unit disk. The error term in the integral representation is proven to decay geometrically and sufficiently fast, allowing us to obtain more precise asymptotic formulas for the polynomials under certain additional geometric considerations. These formulas yield, in turn, fine results on the location, limiting distribution and accumulation points of the zeros of the polynomials.
math.CA math.CV
in this paper we investigate the asymptotic behavior of polynomials that are orthonormal over the interior domain of an analytic jordan curve l with respect to area measure we prove that inside l these polynomials behave asymptotically like a sequence of certain integrals involving the canonical conformal map of the exterior of l onto the exterior of the unit circle and certain meromorphic kernel function defined in terms of a conformal map of the interior of l onto the unit disk the error term in the integral representation is proven to decay geometrically and sufficiently fast allowing us to obtain more precise asymptotic formulas for the polynomials under certain additional geometric considerations these formulas yield in turn fine results on the location limiting distribution and accumulation points of the zeros of the polynomials
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710.2857
Renormalisable SO(10) models and neutrino masses and mixing
We discuss some recent developments in SUSY Grand Unified Theories based on the gauge group SO(10). Considering renormalisable Yukawa couplings, we present ways to accommodate quark and lepton masses and and mixings.
hep-ph
we discuss some recent developments in susy grand unified theories based on the gauge group so10 considering renormalisable yukawa couplings we present ways to accommodate quark and lepton masses and and mixings
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710.2858
Observation of an unexpected hardening in the spectrum of GRB 021206
GRB 021206 is one of the brightest GRBs ever observed. Its prompt emission, as measured by RHESSI, shows an unexpected spectral feature. The spectrum has a peak energy of about 700 keV and can be described by a Band function up to 4.5 MeV. Above 4.5 MeV, the spectrum hardens again, so that the Band function fails to fit the whole RHESSI energy range up to 17 MeV. Nor does the sum of a blackbody function plus a power law, even though such a function can describe a spectral hardening. The cannonball model on the other hand predicts such a hardening, and we found that it fits the spectrum of GRB 021206 perfectly. We also analysed other strong GRBs observed by RHESSI, namely GRBs 020715, 021008, 030329, 030406, 030519B, 031027, 031111. We found that all their spectra can be fit by the cannonball model as well as by a Band function.
astro-ph
grb 021206 is one of the brightest grbs ever observed its prompt emission as measured by rhessi shows an unexpected spectral feature the spectrum has a peak energy of about 700 kev and can be described by a band function up to 45 mev above 45 mev the spectrum hardens again so that the band function fails to fit the whole rhessi energy range up to 17 mev nor does the sum of a blackbody function plus a power law even though such a function can describe a spectral hardening the cannonball model on the other hand predicts such a hardening and we found that it fits the spectrum of grb 021206 perfectly we also analysed other strong grbs observed by rhessi namely grbs 020715 021008 030329 030406 030519b 031027 031111 we found that all their spectra can be fit by the cannonball model as well as by a band function
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710.2859
Nonequilibrium valley polarization in graphene nanoconstrictions
We recently shown, using tight-binding calculations, that nonequilibrium valley polarization can be realized in graphene, when the current is injected through "valley filter": a ballistic point contact with zigzag edges. Here we demonstrate, that the effect is surprisingly robust against changing the crystallographic orientation of the filter axis. Namely, the output current remains polarized unless a point contact has perfect armchair edges, at which two subblattices are equally represented. The polarization is inverted when the filter orientation crosses the amchair line and, subsequently, dominating subblattice index of terminal atoms changes. In a bended graphene strip, the valley-polarized current can be directed towards one edge providing a theoretical possibility to observe a zero-magnetic-field analogue of the well-known Hall effect. For the valley valve, build of two valley filters in series and controlled elecrostatically by a gate voltage, the conductance-to-gate characteristic is inverted when $\pi/3$ vertex is placed between two filters.
cond-mat.mes-hall
we recently shown using tightbinding calculations that nonequilibrium valley polarization can be realized in graphene when the current is injected through valley filter a ballistic point contact with zigzag edges here we demonstrate that the effect is surprisingly robust against changing the crystallographic orientation of the filter axis namely the output current remains polarized unless a point contact has perfect armchair edges at which two subblattices are equally represented the polarization is inverted when the filter orientation crosses the amchair line and subsequently dominating subblattice index of terminal atoms changes in a bended graphene strip the valleypolarized current can be directed towards one edge providing a theoretical possibility to observe a zeromagneticfield analogue of the wellknown hall effect for the valley valve build of two valley filters in series and controlled elecrostatically by a gate voltage the conductancetogate characteristic is inverted when pi3 vertex is placed between two filters
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710.286
Universal derived equivalences of posets of cluster tilting objects
We show that for two quivers without oriented cycles related by a BGP reflection, the posets of their cluster tilting objects are related by a simple combinatorial construction, which we call a flip-flop. We deduce that the posets of cluster tilting objects of derived equivalent path algebras of quivers without oriented cycles are universally derived equivalent. In particular, all Cambrian lattices corresponding to the various orientations of the same Dynkin diagram are universally derived equivalent.
math.RT math.CO
we show that for two quivers without oriented cycles related by a bgp reflection the posets of their cluster tilting objects are related by a simple combinatorial construction which we call a flipflop we deduce that the posets of cluster tilting objects of derived equivalent path algebras of quivers without oriented cycles are universally derived equivalent in particular all cambrian lattices corresponding to the various orientations of the same dynkin diagram are universally derived equivalent
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710.2861
A Feynman-Kac-type formula for the deterministic and stochastic wave equations
We establish a probabilistic representation for a wide class of linear deterministic p.d.e.s with potential term, including the wave equation in spatial dimensions 1 to 3. Our representation applies to the heat equation, where it is related to the classical Feynman-Kac formula, as well as to the telegraph and beam equations. If the potential is a (random) spatially homogeneous Gaussian noise, then this formula leads to an expression for the moments of the solution.
math.PR
we establish a probabilistic representation for a wide class of linear deterministic pdes with potential term including the wave equation in spatial dimensions 1 to 3 our representation applies to the heat equation where it is related to the classical feynmankac formula as well as to the telegraph and beam equations if the potential is a random spatially homogeneous gaussian noise then this formula leads to an expression for the moments of the solution
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710.2862
Non-perturbative renormalisation of four-fermion operators in N_f=2 QCD
We present results for the non-perturbative renormalisation of four-fermion operators with two flavours of dynamical quarks. We consider both fully relativistic left current-left current operators, and a full basis for $\Delta B=2$ operators with static heavy quarks. The renormalisation group running of the operators to high energy scales is computed in the continuum limit for a family of Schroedinger Functional renormalisation schemes, via standard finite size scaling techniques. The total renormalisation factors relating renormalisation group invariant to bare operators are computed for a choice of lattice regularisations.
hep-lat
we present results for the nonperturbative renormalisation of fourfermion operators with two flavours of dynamical quarks we consider both fully relativistic left currentleft current operators and a full basis for delta b2 operators with static heavy quarks the renormalisation group running of the operators to high energy scales is computed in the continuum limit for a family of schroedinger functional renormalisation schemes via standard finite size scaling techniques the total renormalisation factors relating renormalisation group invariant to bare operators are computed for a choice of lattice regularisations
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710.2863
First quenched results for the matrix elements of the B_{B_s} mixing parameter in the static limit from tmQCD
We report on a non-perturbative study of the scale-dependent renormalization factors of a multiplicatively renormalizable basis of Delta B=2 parity-odd four-fermion operators in quenched lattice QCD. We also present some preliminary results of the matrix elements related to the mixing parameter of the B_s-meson. In our lattice formulation, the heavy quark is treated in the static approximation, while the strange one belongs to a doublet of twisted mass fermions at full twist, i.e. with twist angle alpha=pi/2. In this framework, the parity-even Delta B=2 four-fermion operators responsible for the mixing are rotated onto a linear combination of parity-odd operators in the above-mentioned basis. Their physical matrix elements between static B_s-mesons are extracted from lattice correlators with Schroedinger functional boundary conditions. We observe a suppression of excited state contributions to the B_{B_s} mixing parameter and speculate about possible explanations.
hep-lat
we report on a nonperturbative study of the scaledependent renormalization factors of a multiplicatively renormalizable basis of delta b2 parityodd fourfermion operators in quenched lattice qcd we also present some preliminary results of the matrix elements related to the mixing parameter of the b_smeson in our lattice formulation the heavy quark is treated in the static approximation while the strange one belongs to a doublet of twisted mass fermions at full twist ie with twist angle alphapi2 in this framework the parityeven delta b2 fourfermion operators responsible for the mixing are rotated onto a linear combination of parityodd operators in the abovementioned basis their physical matrix elements between static b_smesons are extracted from lattice correlators with schroedinger functional boundary conditions we observe a suppression of excited state contributions to the b_b_s mixing parameter and speculate about possible explanations
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710.2864
The Outer Cut-Off of the Giant Planet Population and the 6pc-Survey
We present results from two high-contrast imaging surveys that exploit a novel technique, L-band angular differential imaging. Our first survey targeted 21 young stars in the Beta Pic and Tuc-Hor moving groups with VLT/NACO reaching typical sensitivities of <1 MJup at r > 20 AU. The statistical analysis of the null result demonstrates that the giant planet population is truncated at 30 AU or less (90% confidence level). Our second, on-going MMT/Clio survey utilizes the unique sensitivity achieved in the L-band for old planets to probe all M-dwarf stars within 6 pc. The proximity of these targets enables direct imaging of planets in orbits like Jupiter for the first time - a key step for directly imaging giant planets.
astro-ph
we present results from two highcontrast imaging surveys that exploit a novel technique lband angular differential imaging our first survey targeted 21 young stars in the beta pic and tuchor moving groups with vltnaco reaching typical sensitivities of 1 mjup at r 20 au the statistical analysis of the null result demonstrates that the giant planet population is truncated at 30 au or less 90 confidence level our second ongoing mmtclio survey utilizes the unique sensitivity achieved in the lband for old planets to probe all mdwarf stars within 6 pc the proximity of these targets enables direct imaging of planets in orbits like jupiter for the first time a key step for directly imaging giant planets
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710.2865
Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential
We analyze how individual eigenvalues of the QCD Dirac operator at nonzero quark chemical potential are distributed in the complex plane. Exact and approximate analytical results for both quenched and unquenched distributions are derived from non-Hermitian random matrix theory. When comparing these to quenched lattice QCD spectra close to the origin, excellent agreement is found for zero and nonzero topology at several values of the quark chemical potential. Our analytical results are also applicable to other physical systems in the same symmetry class.
hep-lat
we analyze how individual eigenvalues of the qcd dirac operator at nonzero quark chemical potential are distributed in the complex plane exact and approximate analytical results for both quenched and unquenched distributions are derived from nonhermitian random matrix theory when comparing these to quenched lattice qcd spectra close to the origin excellent agreement is found for zero and nonzero topology at several values of the quark chemical potential our analytical results are also applicable to other physical systems in the same symmetry class
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710.2866
Intersubband spin-orbit coupling and spin splitting in symmetric quantum wells
In semiconductors with inversion asymmetry, spin-orbit coupling gives rise to the well-known Dresselhaus and Rashba effects. If one considers quantum wells with two or more conduction subbands, an additional, intersubband-induced spin-orbit term appears whose strength is comparable to the Rashba coupling, and which remains finite for symmetric structures. We show that the conduction band spin splitting due to this intersubband spin-orbit coupling term is negligible for typical III-V quantum wells.
cond-mat.mtrl-sci
in semiconductors with inversion asymmetry spinorbit coupling gives rise to the wellknown dresselhaus and rashba effects if one considers quantum wells with two or more conduction subbands an additional intersubbandinduced spinorbit term appears whose strength is comparable to the rashba coupling and which remains finite for symmetric structures we show that the conduction band spin splitting due to this intersubband spinorbit coupling term is negligible for typical iiiv quantum wells
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710.2867
QED in arbitrary linear media: amplifying media
Recently, we have developed a unified approach to QED in arbitrary linearly responding media in equilibrium--media that give rise to absorption [Phys. Rev. A \textbf{75}, (2007) 053813]. In the present paper we show that, under appropriate conditions, the theory can be quite naturally generalized to amplifying media the effect of which is described within the framework of linear response theory. We discuss the limits of validity of the generalized theory and make contact with earlier quantization schemes suggested for the case of linearly and locally responding amplifying dielectric-type media. To illustrate the theory, we present the electromagnetic-field correlation functions that determine the Casimir force in the presence of amplifying media.
quant-ph
recently we have developed a unified approach to qed in arbitrary linearly responding media in equilibriummedia that give rise to absorption phys rev a textbf75 2007 053813 in the present paper we show that under appropriate conditions the theory can be quite naturally generalized to amplifying media the effect of which is described within the framework of linear response theory we discuss the limits of validity of the generalized theory and make contact with earlier quantization schemes suggested for the case of linearly and locally responding amplifying dielectrictype media to illustrate the theory we present the electromagneticfield correlation functions that determine the casimir force in the presence of amplifying media
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710.2868
Maximally multipartite entangled states
We introduce the notion of maximally multipartite entangled states of n qubits as a generalization of the bipartite case. These pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all possible bipartitions. They are solutions of a minimization problem. Examples for small n are investigated, both analytically and numerically.
quant-ph cond-mat.stat-mech
we introduce the notion of maximally multipartite entangled states of n qubits as a generalization of the bipartite case these pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all possible bipartitions they are solutions of a minimization problem examples for small n are investigated both analytically and numerically
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710.2869
Canonical extensions of local systems
A local system H on a complex manifold M can be viewed in two ways--either as a locally free sheaf, or as a union of covering spaces T = T(H). When M is an open set in a bigger manifold, the local system will generally not extend, because of local monodromy. This paper proposes an extension of the local system as an analytic space, in the case when the complement of M has normal crossing singularities, and the local system is unipotent along the boundary divisor. The analytic space is obtained by taking the closure of T inside the total space of Deligne's canonical extension of the associated vector bundle. It is not normal, but its normalization is locally toric.
math.AG
a local system h on a complex manifold m can be viewed in two wayseither as a locally free sheaf or as a union of covering spaces t th when m is an open set in a bigger manifold the local system will generally not extend because of local monodromy this paper proposes an extension of the local system as an analytic space in the case when the complement of m has normal crossing singularities and the local system is unipotent along the boundary divisor the analytic space is obtained by taking the closure of t inside the total space of delignes canonical extension of the associated vector bundle it is not normal but its normalization is locally toric
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710.287
On the "pits effect" of Littlewood and Offord
Suppose that the moduli of the coefficients of a power series are 1/n!, while the arguments are arbitrary. If an entire function f represented by such power series decreases exponentially on some ray, then it has to be an exponential. If the arguments of the coefficients are of the form 2pi n^2a, where a is irrational, then the function displays the so-called "pits effect". More precisely, under this condition, f is of completely regular growth with constant indicator.
math.CV
suppose that the moduli of the coefficients of a power series are 1n while the arguments are arbitrary if an entire function f represented by such power series decreases exponentially on some ray then it has to be an exponential if the arguments of the coefficients are of the form 2pi n2a where a is irrational then the function displays the socalled pits effect more precisely under this condition f is of completely regular growth with constant indicator
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710.2871
High-Efficiency Resonant RF Spin Rotator with Broad Phase Space Acceptance for Pulsed Polarized Cold Neutron Beams
We have developed a radio-frequency resonant spin rotator to reverse the neutron polarization in a 9.5 cm x 9.5 cm pulsed cold neutron beam with high efficiency over a broad cold neutron energy range. The effect of the spin reversal by the rotator on the neutron beam phase space is compared qualitatively to RF neutron spin flippers based on adiabatic fast passage. The spin rotator does not change the kinetic energy of the neutrons and leaves the neutron beam phase space unchanged to high precision. We discuss the design of the spin rotator and describe two types of transmission-based neutron spin-flip efficiency measurements where the neutron beam was both polarized and analyzed by optically-polarized 3He neutron spin filters. The efficiency of the spin rotator was measured to be 98.0+/-0.8% on resonance for neutron energies from 3.3 to 18.4 meV over the full phase space of the beam. As an example of the application of this device to an experiment we describe the integration of the RF spin rotator into an apparatus to search for the small parity-violating asymmetry A_gamma in polarized cold neutron capture on para-hydrogen by the NPDGamma collaboration at LANSCE.
nucl-ex
we have developed a radiofrequency resonant spin rotator to reverse the neutron polarization in a 95 cm x 95 cm pulsed cold neutron beam with high efficiency over a broad cold neutron energy range the effect of the spin reversal by the rotator on the neutron beam phase space is compared qualitatively to rf neutron spin flippers based on adiabatic fast passage the spin rotator does not change the kinetic energy of the neutrons and leaves the neutron beam phase space unchanged to high precision we discuss the design of the spin rotator and describe two types of transmissionbased neutron spinflip efficiency measurements where the neutron beam was both polarized and analyzed by opticallypolarized 3he neutron spin filters the efficiency of the spin rotator was measured to be 98008 on resonance for neutron energies from 33 to 184 mev over the full phase space of the beam as an example of the application of this device to an experiment we describe the integration of the rf spin rotator into an apparatus to search for the small parityviolating asymmetry a_gamma in polarized cold neutron capture on parahydrogen by the npdgamma collaboration at lansce
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710.2872
Geometrical constraints on dark energy models
This contribution intends to give a pedagogical introduction to the topic of dark energy (the mysterious agent supposed to drive the observed late time acceleration of the Universe) and to various observational tests which require only assumptions on the geometry of the Universe. Those tests are the supernovae luminosity, the CMB shift, the direct Hubble data, and the baryon acoustic oscillations test. An historical overview of Cosmology is followed by some generalities on FRW spacetimes (the best large-scale description of the Universe), and then the test themselves are discussed. A convenient section on statistical inference is included as well.
astro-ph
this contribution intends to give a pedagogical introduction to the topic of dark energy the mysterious agent supposed to drive the observed late time acceleration of the universe and to various observational tests which require only assumptions on the geometry of the universe those tests are the supernovae luminosity the cmb shift the direct hubble data and the baryon acoustic oscillations test an historical overview of cosmology is followed by some generalities on frw spacetimes the best largescale description of the universe and then the test themselves are discussed a convenient section on statistical inference is included as well
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710.2873
Sensitive multiplex spectroscopy in the molecular fingerprint 2.4 $\mu$m region with a Cr^{2+}:ZnSe femtosecond laser
An ultrashort-pulse Cr^{2+}:ZnSe laser is a novel broadband source for sensitive high resolution molecular spectroscopy. A 130-fs pulse allows covering of up to 380 cm^-1 spectral domain around 2.4 $\mu$m which is analyzed simultaneously with a 0.12 cm^-1 (3.6 GHz) resolution by a Fourier-transform spectrometer. Recorded in 13 s, from 70-cm length absorption around 4150 cm^-1, acetylene and ammonia spectra exhibit a 3800 signal-to-noise ratio and a 2.4*10^-7 cm^-1*Hz^-1/2 noise equivalent absorption coefficient at one second averaging per spectral element, suggesting a 0.2 ppbv detection level for HF molecule. With the widely practiced classical tungsten lamp source instead of the laser, identical spectra would have taken more than one hour.
physics.optics
an ultrashortpulse cr2znse laser is a novel broadband source for sensitive high resolution molecular spectroscopy a 130fs pulse allows covering of up to 380 cm1 spectral domain around 24 mum which is analyzed simultaneously with a 012 cm1 36 ghz resolution by a fouriertransform spectrometer recorded in 13 s from 70cm length absorption around 4150 cm1 acetylene and ammonia spectra exhibit a 3800 signaltonoise ratio and a 24107 cm1hz12 noise equivalent absorption coefficient at one second averaging per spectral element suggesting a 02 ppbv detection level for hf molecule with the widely practiced classical tungsten lamp source instead of the laser identical spectra would have taken more than one hour
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710.2874
Infrared frequency combs and supercontinua for multiplex high sensitivity spectroscopy
An infrared high-brightness light source based on supercontinuum generation through a SF6 photonic crystal fiber seeded by a Cr^4+:YAG femtosecond oscillator is developed for high resolution multiplex spectroscopy in the 1.5 $\mu$m region. Moreover, a multiplex high resolution approach based on a Cr^4+:YAG frequency comb enables to probe large spectral domains, with simultaneous sensitive measurement of the absorption and the dispersion associated with all individual spectral features.
physics.optics
an infrared highbrightness light source based on supercontinuum generation through a sf6 photonic crystal fiber seeded by a cr4yag femtosecond oscillator is developed for high resolution multiplex spectroscopy in the 15 mum region moreover a multiplex high resolution approach based on a cr4yag frequency comb enables to probe large spectral domains with simultaneous sensitive measurement of the absorption and the dispersion associated with all individual spectral features
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710.2875
What are the benefits of bound (protonation) states for the electron-transfer kinetics?
We describe a model of electron transfer reactions affected by local binding to the donor or acceptor sites of a particle in equilibrium with the solution. The statistics of fluctuations of the donor-acceptor energy gap caused by binding/unbinding events are non-Gaussian, and the resulting free energy surfaces of electron transfer are non-parabolic. The band-width of the charge-transfer optical transition is predicted to pass through a maximum as a function of the concentration of binding particles in the solution. The model is used to rationalize recent observations of pH-dependence of electron transfer rates involving changes in the protonation state of the donor-acceptor complex.
physics.bio-ph physics.chem-ph
we describe a model of electron transfer reactions affected by local binding to the donor or acceptor sites of a particle in equilibrium with the solution the statistics of fluctuations of the donoracceptor energy gap caused by bindingunbinding events are nongaussian and the resulting free energy surfaces of electron transfer are nonparabolic the bandwidth of the chargetransfer optical transition is predicted to pass through a maximum as a function of the concentration of binding particles in the solution the model is used to rationalize recent observations of phdependence of electron transfer rates involving changes in the protonation state of the donoracceptor complex
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710.2876
Information, Inflation, and Interest
We propose a class of discrete-time stochastic models for the pricing of inflation-linked assets. The paper begins with an axiomatic scheme for asset pricing and interest rate theory in a discrete-time setting. The first axiom introduces a "risk-free" asset, and the second axiom determines the intertemporal pricing relations that hold for dividend-paying assets. The nominal and real pricing kernels, in terms of which the price index can be expressed, are then modelled by introducing a Sidrauski-type utility function depending on (a) the aggregate rate of consumption, and (b) the aggregate rate of real liquidity benefit conferred by the money supply. Consumption and money supply policies are chosen such that the expected joint utility obtained over a specified time horizon is maximised subject to a budget constraint that takes into account the "value" of the liquidity benefit associated with the money supply. For any choice of the bivariate utility function, the resulting model determines a relation between the rate of consumption, the price level, and the money supply. The model also produces explicit expressions for the real and nominal pricing kernels, and hence establishes a basis for the valuation of inflation-linked securities.
q-fin.GN math.PR
we propose a class of discretetime stochastic models for the pricing of inflationlinked assets the paper begins with an axiomatic scheme for asset pricing and interest rate theory in a discretetime setting the first axiom introduces a riskfree asset and the second axiom determines the intertemporal pricing relations that hold for dividendpaying assets the nominal and real pricing kernels in terms of which the price index can be expressed are then modelled by introducing a sidrauskitype utility function depending on a the aggregate rate of consumption and b the aggregate rate of real liquidity benefit conferred by the money supply consumption and money supply policies are chosen such that the expected joint utility obtained over a specified time horizon is maximised subject to a budget constraint that takes into account the value of the liquidity benefit associated with the money supply for any choice of the bivariate utility function the resulting model determines a relation between the rate of consumption the price level and the money supply the model also produces explicit expressions for the real and nominal pricing kernels and hence establishes a basis for the valuation of inflationlinked securities
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710.2877
Differential isospin-fractionation in dilute asymmetric nuclear matter
The differential isospin-fractionation (IsoF) during the liquid-gas phase transition in dilute asymmetric nuclear matter is studied as a function of nucleon momentum. Within a self-consistent thermal model it is shown that the neutron/proton ratio of the gas phase becomes {\it smaller} than that of the liquid phase for energetic nucleons, although the gas phase is overall more neutron-rich. Clear indications of the differential IsoF consistent with the thermal model predictions are demonstrated within a transport model for heavy-ion reactions. Future comparisons with experimental data will allow us to extract critical information about the momentum dependence of the isovector strong interaction.
nucl-th nucl-ex
the differential isospinfractionation isof during the liquidgas phase transition in dilute asymmetric nuclear matter is studied as a function of nucleon momentum within a selfconsistent thermal model it is shown that the neutronproton ratio of the gas phase becomes it smaller than that of the liquid phase for energetic nucleons although the gas phase is overall more neutronrich clear indications of the differential isof consistent with the thermal model predictions are demonstrated within a transport model for heavyion reactions future comparisons with experimental data will allow us to extract critical information about the momentum dependence of the isovector strong interaction
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710.2878
Hydrogen Adsorption of Back Side of Graphene
We studied the interaction between a single hydrogen atom and a single graphene using classical molecular dynamics simulation with modified Brenner REBO potential. Three interactions, which are adsorption, reflection, penetration, were observed. Overhang structure appears and creates an adsorption site on the backside of the graphene. It is considered that backside adsorption occurs under the two conditions that an incident hydrogen atom should have incident energy which is larger than the potential barrier of a hexagonal hole of the graphene and that after the hydrogen atom passes through the graphene, it does not keep its kinetic energy to be trapped by the adsorption site. The conditions explained that as the incident energy increased, the incident point of the backside adsorption shifted to the periphery of a hexagonal hole of the graphene in the simulation. Moreover, when a hexagonal hole of the graphene was expanded by the hydrogen atom incidence to the periphery of the hexagonal hole, its potential barrier was reduced.
cond-mat.mtrl-sci cond-mat.other
we studied the interaction between a single hydrogen atom and a single graphene using classical molecular dynamics simulation with modified brenner rebo potential three interactions which are adsorption reflection penetration were observed overhang structure appears and creates an adsorption site on the backside of the graphene it is considered that backside adsorption occurs under the two conditions that an incident hydrogen atom should have incident energy which is larger than the potential barrier of a hexagonal hole of the graphene and that after the hydrogen atom passes through the graphene it does not keep its kinetic energy to be trapped by the adsorption site the conditions explained that as the incident energy increased the incident point of the backside adsorption shifted to the periphery of a hexagonal hole of the graphene in the simulation moreover when a hexagonal hole of the graphene was expanded by the hydrogen atom incidence to the periphery of the hexagonal hole its potential barrier was reduced
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710.2879
The Richness and Beauty of the Physics of Cosmological Recombination
The physical ingredients to describe the epoch of cosmological recombination are amazingly simple and well-understood. This fact allows us to take into account a very large variety of processes, still finding potentially measurable consequences. In this contribution we highlight some of the detailed physics that were recently studied in connection with cosmological hydrogen recombination. The impact of these considerations is two-fold: (i) the associated release of photons during this epoch leads to interesting and unique deviations of the Cosmic Microwave Background (CMB) energy spectrum from a perfect blackbody, which, in particular at decimeter wavelength, may become observable in the near future. Observing these distortions, in principle would provide an additional way to determine some of the key parameters of the Universe (e.g. the specific entropy, the CMB monopole temperature and the pre-stellar abundance of helium), not suffering from limitations set by cosmic variance. Also it permits us to confront our detailed understanding of the recombination process with direct observational evidence. In this contribution we illustrate how the theoretical spectral template for the cosmological recombination spectrum may be utilized for this purpose. (ii) with the advent of high precision CMB data, e.g. as will be available using the Planck Surveyor or Cmbpol, a very accurate theoretical understanding of the ionization history of the Universe becomes necessary for the interpretation of the CMB temperature and polarization anisotropies. (abridged)
astro-ph
the physical ingredients to describe the epoch of cosmological recombination are amazingly simple and wellunderstood this fact allows us to take into account a very large variety of processes still finding potentially measurable consequences in this contribution we highlight some of the detailed physics that were recently studied in connection with cosmological hydrogen recombination the impact of these considerations is twofold i the associated release of photons during this epoch leads to interesting and unique deviations of the cosmic microwave background cmb energy spectrum from a perfect blackbody which in particular at decimeter wavelength may become observable in the near future observing these distortions in principle would provide an additional way to determine some of the key parameters of the universe eg the specific entropy the cmb monopole temperature and the prestellar abundance of helium not suffering from limitations set by cosmic variance also it permits us to confront our detailed understanding of the recombination process with direct observational evidence in this contribution we illustrate how the theoretical spectral template for the cosmological recombination spectrum may be utilized for this purpose ii with the advent of high precision cmb data eg as will be available using the planck surveyor or cmbpol a very accurate theoretical understanding of the ionization history of the universe becomes necessary for the interpretation of the cmb temperature and polarization anisotropies abridged
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710.288
A determination of the B_s^0 and B_d^0 mixing parameters in 2+1 lattice QCD
We report on the advances in our unquenched calculation of the matrix elements relevant for the analysis of B^0-\bar B^0 mixing using the Asqtad (light quark) and Fermilab (heavy quark) actions. We have calculated the hadronic parameters for the mass and width differences in the neutral B meson system. Preliminary results are presented for f_{B_q}^2 B_q as well as for the ratio \xi^2=f_{B_s}^2 B_{B_s}/f_{B_d}^2 B_{B_d}.
hep-lat
we report on the advances in our unquenched calculation of the matrix elements relevant for the analysis of b0bar b0 mixing using the asqtad light quark and fermilab heavy quark actions we have calculated the hadronic parameters for the mass and width differences in the neutral b meson system preliminary results are presented for f_b_q2 b_q as well as for the ratio xi2f_b_s2 b_b_sf_b_d2 b_b_d
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710.2881
On the Geometry of Supersymmetric Quantum Mechanical Systems
We consider some simple examples of supersymmetric quantum mechanical systems and explore their possible geometric interpretation with the help of geometric aspects of real Clifford algebras. This leads to natural extensions of the considered systems to higher dimensions and more complicated potentials.
hep-th math-ph math.MP
we consider some simple examples of supersymmetric quantum mechanical systems and explore their possible geometric interpretation with the help of geometric aspects of real clifford algebras this leads to natural extensions of the considered systems to higher dimensions and more complicated potentials
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710.2882
The Initial Mass Function of the Massive Star-forming Region NGC 3603 from Near-Infrared Adaptive Optics observations
We study the initial mass function (IMF) of one of the most massive Galactic star-forming regions NGC 3603 to answer a fundamental question in current astrophysics: is the IMF universal, or does it vary? Using our very deep, high angular resolution JHKsL' images obtained with NAOS-CONICA at the VLT at ESO, we have successfully revealed the stellar population down to the subsolar mass range in the core of the starburst cluster. The derived IMF of NGC 3603 is reasonably fitted by a single power law with index Gamma ~ -0.74 within a mass range of 0.4 - 20 Msun, substantially flatter than the Salpeter-like IMF. A strong radial steepening of the IMF is observed mainly in the inner r < 30'' field, indicating mass segregation in the cluster center. We estimate the total mass of NGC 3603 to be about 1.0 - 1.6 x 10^4 Msun. The derived core density is > 6 x 10^4 Msun pc^-3, an order of magnitude larger than e.g., the Orion Nebula Cluster. The estimate of the half-mass relaxation time for solar-mass stars is about 10 - 40 Myr, suggesting that the intermediate- and low-mass stars have not yet been affected significantly by the dynamical relaxation in the cluster. The relaxation time for the high-mass stars can be comparable to the age of the cluster. We estimate that the stars residing outside the observed field cannot steepen the IMF significantly, indicating our IMF adequately describes the whole cluster. Analyzing thoroughly the systematic uncertainties in our IMF determination, we conclude that the power law index of the IMF of NGC 3603 is Gamma = -0.74^{+0.62}_{-0.47}. Our result thus supports the hypothesis of a potential top-heavy IMF in massive star-forming clusters and starbursts.
astro-ph
we study the initial mass function imf of one of the most massive galactic starforming regions ngc 3603 to answer a fundamental question in current astrophysics is the imf universal or does it vary using our very deep high angular resolution jhksl images obtained with naosconica at the vlt at eso we have successfully revealed the stellar population down to the subsolar mass range in the core of the starburst cluster the derived imf of ngc 3603 is reasonably fitted by a single power law with index gamma 074 within a mass range of 04 20 msun substantially flatter than the salpeterlike imf a strong radial steepening of the imf is observed mainly in the inner r 30 field indicating mass segregation in the cluster center we estimate the total mass of ngc 3603 to be about 10 16 x 104 msun the derived core density is 6 x 104 msun pc3 an order of magnitude larger than eg the orion nebula cluster the estimate of the halfmass relaxation time for solarmass stars is about 10 40 myr suggesting that the intermediate and lowmass stars have not yet been affected significantly by the dynamical relaxation in the cluster the relaxation time for the highmass stars can be comparable to the age of the cluster we estimate that the stars residing outside the observed field cannot steepen the imf significantly indicating our imf adequately describes the whole cluster analyzing thoroughly the systematic uncertainties in our imf determination we conclude that the power law index of the imf of ngc 3603 is gamma 074062_047 our result thus supports the hypothesis of a potential topheavy imf in massive starforming clusters and starbursts
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710.2883
What rare K decays can tell about the MSSM
The supersymmetric contributions to the theoretically clean K+ --> pi+ nu nu bar, KL --> pi0 nu nu bar, KL --> pi0 e+ e- and KL --> pi0 mu+ mu- decays are briefly reviewed. Particular emphasis is laid on the information one could get on the MSSM flavor sector from a combined study of the four modes.
hep-ph
the supersymmetric contributions to the theoretically clean k pi nu nu bar kl pi0 nu nu bar kl pi0 e e and kl pi0 mu mu decays are briefly reviewed particular emphasis is laid on the information one could get on the mssm flavor sector from a combined study of the four modes
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710.2884
The Urysohn sphere is oscillation stable
We solve the oscillation stability problem for the Urysohn sphere, an analog of the distortion problem for the Hilbert space in the context of the Urysohn universal metric space. This is achieved by solving a purely combinatorial problem involving a family of countable homogeneous metric spaces with finitely many distances.
math.MG math.CO
we solve the oscillation stability problem for the urysohn sphere an analog of the distortion problem for the hilbert space in the context of the urysohn universal metric space this is achieved by solving a purely combinatorial problem involving a family of countable homogeneous metric spaces with finitely many distances
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710.2885
Partition properties of the dense local order and a colored version of Milliken's theorem
We study the finite dimensional partition properties of the countable homogeneous dense local order. Some of our results use ideas borrowed from the partition calculus of the rationals and are obtained thanks to a strengthening of Milliken's theorem on trees.
math.CO math.LO
we study the finite dimensional partition properties of the countable homogeneous dense local order some of our results use ideas borrowed from the partition calculus of the rationals and are obtained thanks to a strengthening of millikens theorem on trees
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710.2886
$\kappa$-Minkowski space, scalar field, and the issue of Lorentz invariance
We describe $\kappa$-Minkowski space and its relation to group theory. The group theoretical picture makes it possible to analyze the symmetries of this space. As an application of this analysis we analyze in detail free field theory on $\kappa$-Minkowski space and the Noether charges associated with deformed spacetime symmetries.
hep-th
we describe kappaminkowski space and its relation to group theory the group theoretical picture makes it possible to analyze the symmetries of this space as an application of this analysis we analyze in detail free field theory on kappaminkowski space and the noether charges associated with deformed spacetime symmetries
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710.2887
Implementation, Compilation, Optimization of Object-Oriented Languages, Programs and Systems - Report on the Workshop ICOOOLPS'2006 at ECOOP'06
ICOOOLPS'2006 was the first edition of ECOOP-ICOOOLPS workshop. It intended to bring researchers and practitioners both from academia and industry together, with a spirit of openness, to try and identify and begin to address the numerous and very varied issues of optimization. This succeeded, as can be seen from the papers, the attendance and the liveliness of the discussions that took place during and after the workshop, not to mention a few new cooperations or postdoctoral contracts. The 22 talented people from different groups who participated were unanimous to appreciate this first edition and recommend that ICOOOLPS be continued next year. A community is thus beginning to form, and should be reinforced by a second edition next year, with all the improvements this first edition made emerge.
cs.PF cs.PL cs.SE
icooolps2006 was the first edition of ecoopicooolps workshop it intended to bring researchers and practitioners both from academia and industry together with a spirit of openness to try and identify and begin to address the numerous and very varied issues of optimization this succeeded as can be seen from the papers the attendance and the liveliness of the discussions that took place during and after the workshop not to mention a few new cooperations or postdoctoral contracts the 22 talented people from different groups who participated were unanimous to appreciate this first edition and recommend that icooolps be continued next year a community is thus beginning to form and should be reinforced by a second edition next year with all the improvements this first edition made emerge
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710.2888
Pair-distribution functions of two-temperature two-mass systems: Comparison of MD, HNC, CHNC, QMC and Kohn-Sham calculations for dense hydrogen
Two-temperature, two-mass quasi-equilibrium plasmas may occur in electron-ion plasmas,nuclear-matter, as well as in electron-hole condensed-matter systems. Dense two-temperature hydrogen plasmas straddle the difficult partially - degenerate regime of electron densities and temperatures which are important in astrophysics, in inertial-confinement fusion research, and other areas of warm dense matter physics. Results from Kohn-Sham calculations and QMC are used to benchmark the procedures used in classical molecular-dynamics simulations, HNC and CHNC methods to derive electron-electron and electron-proton pair - distribution functions. Then, nonequilibrium molecular dynamics for two -temperature, two-mass plasmas are used to obtain the pair distribution. Using these results, the correct HNC and CHNC procedures for the evaluation of pair-distribution functions in two-temperature two-mass two-component charged fluids are established. Results for a mass ratio of 1:5, typical of electron-hole fluids, as well as for compressed hydrogen are presented. PACS Numbers: 52.25.Kn, 52.25Gj, 71.10.-w, 52.27.Gr, 26.30.+k
cond-mat.stat-mech astro-ph cond-mat.str-el physics.plasm-ph
twotemperature twomass quasiequilibrium plasmas may occur in electronion plasmasnuclearmatter as well as in electronhole condensedmatter systems dense twotemperature hydrogen plasmas straddle the difficult partially degenerate regime of electron densities and temperatures which are important in astrophysics in inertialconfinement fusion research and other areas of warm dense matter physics results from kohnsham calculations and qmc are used to benchmark the procedures used in classical moleculardynamics simulations hnc and chnc methods to derive electronelectron and electronproton pair distribution functions then nonequilibrium molecular dynamics for two temperature twomass plasmas are used to obtain the pair distribution using these results the correct hnc and chnc procedures for the evaluation of pairdistribution functions in twotemperature twomass twocomponent charged fluids are established results for a mass ratio of 15 typical of electronhole fluids as well as for compressed hydrogen are presented pacs numbers 5225kn 5225gj 7110w 5227gr 2630k
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710.2889
An efficient reduction of ranking to classification
This paper describes an efficient reduction of the learning problem of ranking to binary classification. The reduction guarantees an average pairwise misranking regret of at most that of the binary classifier regret, improving a recent result of Balcan et al which only guarantees a factor of 2. Moreover, our reduction applies to a broader class of ranking loss functions, admits a simpler proof, and the expected running time complexity of our algorithm in terms of number of calls to a classifier or preference function is improved from $\Omega(n^2)$ to $O(n \log n)$. In addition, when the top $k$ ranked elements only are required ($k \ll n$), as in many applications in information extraction or search engines, the time complexity of our algorithm can be further reduced to $O(k \log k + n)$. Our reduction and algorithm are thus practical for realistic applications where the number of points to rank exceeds several thousands. Much of our results also extend beyond the bipartite case previously studied. Our rediction is a randomized one. To complement our result, we also derive lower bounds on any deterministic reduction from binary (preference) classification to ranking, implying that our use of a randomized reduction is essentially necessary for the guarantees we provide.
cs.LG cs.IR
this paper describes an efficient reduction of the learning problem of ranking to binary classification the reduction guarantees an average pairwise misranking regret of at most that of the binary classifier regret improving a recent result of balcan et al which only guarantees a factor of 2 moreover our reduction applies to a broader class of ranking loss functions admits a simpler proof and the expected running time complexity of our algorithm in terms of number of calls to a classifier or preference function is improved from omegan2 to on log n in addition when the top k ranked elements only are required k ll n as in many applications in information extraction or search engines the time complexity of our algorithm can be further reduced to ok log k n our reduction and algorithm are thus practical for realistic applications where the number of points to rank exceeds several thousands much of our results also extend beyond the bipartite case previously studied our rediction is a randomized one to complement our result we also derive lower bounds on any deterministic reduction from binary preference classification to ranking implying that our use of a randomized reduction is essentially necessary for the guarantees we provide
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710.289
Model for a collimated spin wave beam generated by a single layer, spin torque nanocontact
A model of spin torque induced magnetization dynamics based upon semi-classical spin diffusion theory for a single layer nanocontact is presented. The model incorporates effects due to the current induced Oersted field and predicts the generation of a variety of spatially dependent, coherent, precessional magnetic wave structures. Directionally controllable collimated spin wave beams, vortex spiral waves, and localized standing waves are found to be excited by the interplay of the Oersted field and the orientation of an applied field. These fields act as a spin wave ``corral'' around the nanocontact that controls the propagation of spin waves in certain directions.
cond-mat.mtrl-sci
a model of spin torque induced magnetization dynamics based upon semiclassical spin diffusion theory for a single layer nanocontact is presented the model incorporates effects due to the current induced oersted field and predicts the generation of a variety of spatially dependent coherent precessional magnetic wave structures directionally controllable collimated spin wave beams vortex spiral waves and localized standing waves are found to be excited by the interplay of the oersted field and the orientation of an applied field these fields act as a spin wave corral around the nanocontact that controls the propagation of spin waves in certain directions
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710.2891
SUSY Model Building
I review some of the latest directions in supersymmetric model building, focusing on SUSY breaking mechanisms in the minimal supersymmetric standard model [MSSM], the "little" hierarchy and $\mu$ problems, etc. I then discuss SUSY GUTs and UV completions in string theory.
hep-ph
i review some of the latest directions in supersymmetric model building focusing on susy breaking mechanisms in the minimal supersymmetric standard model mssm the little hierarchy and mu problems etc i then discuss susy guts and uv completions in string theory
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710.2892
On the Diversity of the Taurus Transitional Disks: UX Tau A & Lk Ca 15
The recently recognized class of "transitional disk" systems consists of young starswith optically-thick outer disks but inner disks which are mostly devoid of small dust. Here we introduce a further class of "pre-transitional disks" with significant near-infrared excesses which indicate the presence of an optically thick inner disk separated from an optically thick outer disk; thus, the spectral energy distributions of pre-transitional disks suggest the incipient development of disk gaps rather than inner holes. In UX Tau A, our analysis of the Spitzer IRS spectrum finds that the near-infrared excess is produced by an inner optically thick disk and a gap of ~56 AU is present. The Spitzer IRS spectrum of LkCa 15 is suggestive of a gap of ~46 AU, confirming previous millimeter imaging. In addition, UX Tau A contains crystalline silicates in its disk at radii >~ 56 AU which poses a challenge to our understanding of the production of this crystalline material. In contrast, LkCa 15's silicates are amorphous and pristine. UX Tau A and LkCa 15 increase our knowledge of the diversity of dust clearing in low-mass star formation.
astro-ph
the recently recognized class of transitional disk systems consists of young starswith opticallythick outer disks but inner disks which are mostly devoid of small dust here we introduce a further class of pretransitional disks with significant nearinfrared excesses which indicate the presence of an optically thick inner disk separated from an optically thick outer disk thus the spectral energy distributions of pretransitional disks suggest the incipient development of disk gaps rather than inner holes in ux tau a our analysis of the spitzer irs spectrum finds that the nearinfrared excess is produced by an inner optically thick disk and a gap of 56 au is present the spitzer irs spectrum of lkca 15 is suggestive of a gap of 46 au confirming previous millimeter imaging in addition ux tau a contains crystalline silicates in its disk at radii 56 au which poses a challenge to our understanding of the production of this crystalline material in contrast lkca 15s silicates are amorphous and pristine ux tau a and lkca 15 increase our knowledge of the diversity of dust clearing in lowmass star formation
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710.2893
On solutions of Rashevskii equation
The solutions of Rashevskii equation for gonometric family of plane curves are considered. Their properties are studied. The connection with the theory of duality for the second order ODE's is discussed.
nlin.SI
the solutions of rashevskii equation for gonometric family of plane curves are considered their properties are studied the connection with the theory of duality for the second order odes is discussed
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710.2894
HAT-P-6b: A Hot Jupiter transiting a bright F star
In the ongoing HATNet survey we have detected a giant planet, with radius 1.33 +/- 0.06 RJup and mass 1.06 +/- 0.12 MJup, transiting the bright (V = 10.5) star GSC 03239-00992. The planet is in a circular orbit with period 3.852985 +/- 0.000005 days and mid-transit epoch 2,454,035.67575 +/- 0.00028 (HJD). The parent star is a late F star with mass 1.29 +/- 0.06 Msun, radius 1.46 +/- 0.06 Rsun, Teff ~ 6570 +/- 80 K, [Fe=H] = -0.13 +/- 0.08 and age ~ 2.3+/-^{0.5}_{0.7}Gy. With this radius and mass, HAT-P-6b has somewhat larger radius than theoretically expected. We describe the observations and their analysis to determine physical properties of the HAT-P-6 system, and briefly discuss some implications of this finding.
astro-ph
in the ongoing hatnet survey we have detected a giant planet with radius 133 006 rjup and mass 106 012 mjup transiting the bright v 105 star gsc 0323900992 the planet is in a circular orbit with period 3852985 0000005 days and midtransit epoch 245403567575 000028 hjd the parent star is a late f star with mass 129 006 msun radius 146 006 rsun teff 6570 80 k feh 013 008 and age 2305_07gy with this radius and mass hatp6b has somewhat larger radius than theoretically expected we describe the observations and their analysis to determine physical properties of the hatp6 system and briefly discuss some implications of this finding
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710.2895
Quaternionic Analysis and the Algebrodynamics
We present the ``algebrodynamical'' approach to field-particle theory based on a nonlinear generalization of the Cauchy-Riemann conditions to non-commutative algebras of quaternion-like type. For complex quaternions the theory is Lorentz invariant and naturally carries some gauge and twistor structures. Point- and string-like singularities are considered as particle-like formations; their electric charge is ``self-quantized''. A novel ``causal Minkowski geometry with additional phase'' is presented that is induced by the structure of primordial biquaternion algebra. On this geometrical background a self-consistent algebraic dynamics of singularities (``ensemble of dublicons'') is briefly discussed.
math-ph gr-qc hep-th math.CV math.MP
we present the algebrodynamical approach to fieldparticle theory based on a nonlinear generalization of the cauchyriemann conditions to noncommutative algebras of quaternionlike type for complex quaternions the theory is lorentz invariant and naturally carries some gauge and twistor structures point and stringlike singularities are considered as particlelike formations their electric charge is selfquantized a novel causal minkowski geometry with additional phase is presented that is induced by the structure of primordial biquaternion algebra on this geometrical background a selfconsistent algebraic dynamics of singularities ensemble of dublicons is briefly discussed
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710.2896
EasyNData: A simple tool to extract numerical values from published plots
The comparison of numerical data with published plots is a frequently occurring task. In this article I present a short computer program written in Java(TM) helping in those cases where someone wants to get the numbers out of a plot but is not able to read the plot with a decent accuracy and cannot contact the author of the plot directly for whatever reason. The accuracy reached by this method depends on many factors. For the examples illustrated in this paper a precision at the level of a few per mille could be reached. The tool might help in improving the quality of future publications.
physics.comp-ph hep-ph physics.data-an
the comparison of numerical data with published plots is a frequently occurring task in this article i present a short computer program written in javatm helping in those cases where someone wants to get the numbers out of a plot but is not able to read the plot with a decent accuracy and cannot contact the author of the plot directly for whatever reason the accuracy reached by this method depends on many factors for the examples illustrated in this paper a precision at the level of a few per mille could be reached the tool might help in improving the quality of future publications
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710.2897
Searches for Squarks and Gluinos with D0 Detector
Searches for supersymmetry in the framework of R-parity conserving models have been performed in data collected by the D0 detector at the Tevatron $p\bar{p}$ collider at a center-of-mass energy of 1.96 TeV. Topologies analyzed consist of acoplanar-jets, multijets, and leptons with large missing transverse energy in the final state. The 1 fb$^{-1}$ data shows good agreement with the standard model expectations. The improved mass limits at 95% CL have been derived. In the first search, generic squarks and gluinos productions are investigated and lower limits of 375 GeV and 289 GeV are derived on the squarks and gluino masses, respectively, with $\tan$($\beta$) = 3, $A_0$ = 0 and $\mu <$ 0. In second analysis, squarks are searched for in a final state that has $\tau$ leptons accompanied by jets and missing transverse energy. This channel is explored for the first time at the Tevatron and excludes squark masses $<$ 366 GeV. Supergravity inspired models suggest the existence of light supersymmetric partners of the third generation quarks: a light stop for moderate values of $\tan(\beta)$, a light sbottom for large $\tan(\beta)$. If stop is the next-to-lightest supersymmetric particle, the expected decay channel is $\tilde{t} \to c \tilde{\chi}^0_1$ with $\tilde{\chi}^0_1$ assumed to be the lightest supersymmetric particle. Using this channel, stop masses $<$ 149 GeV and neutralino masses $<$ 63 GeV are excluded. If there is a mass hierarchy between stop, chargino and sneutrino masses, stop is expected to decay via $\tilde{t} \to b l \tilde{\nu}$ where $l$ could be an electron or muon. The search performed with both electrons, muons and dimuon final states excludes stop mass $<$ 186 GeV for sneutrino mass of 71 GeV.
hep-ex
searches for supersymmetry in the framework of rparity conserving models have been performed in data collected by the d0 detector at the tevatron pbarp collider at a centerofmass energy of 196 tev topologies analyzed consist of acoplanarjets multijets and leptons with large missing transverse energy in the final state the 1 fb1 data shows good agreement with the standard model expectations the improved mass limits at 95 cl have been derived in the first search generic squarks and gluinos productions are investigated and lower limits of 375 gev and 289 gev are derived on the squarks and gluino masses respectively with tanbeta 3 a_0 0 and mu 0 in second analysis squarks are searched for in a final state that has tau leptons accompanied by jets and missing transverse energy this channel is explored for the first time at the tevatron and excludes squark masses 366 gev supergravity inspired models suggest the existence of light supersymmetric partners of the third generation quarks a light stop for moderate values of tanbeta a light sbottom for large tanbeta if stop is the nexttolightest supersymmetric particle the expected decay channel is tildet to c tildechi0_1 with tildechi0_1 assumed to be the lightest supersymmetric particle using this channel stop masses 149 gev and neutralino masses 63 gev are excluded if there is a mass hierarchy between stop chargino and sneutrino masses stop is expected to decay via tildet to b l tildenu where l could be an electron or muon the search performed with both electrons muons and dimuon final states excludes stop mass 186 gev for sneutrino mass of 71 gev
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710.2898
Higher rank numerical ranges and low rank perturbations of quantum channels
For a positive integer $k$, the rank-$k$ numerical range $\Lambda_k(A)$ of an operator $A$ acting on a Hilbert space $\cH$ of dimension at least $k$ is the set of scalars $\lambda$ such that $PAP = \lambda P$ for some rank $k$ orthogonal projection $P$. In this paper, a close connection between low rank perturbation of an operator $A$ and $\Lambda_k(A)$ is established. In particular, for $1 \le r < k$ it is shown that $\Lambda_k(A) \subseteq \Lambda_{k-r}(A+F)$ for any operator $F$ with $\rank (F) \le r$. In quantum computing, this result implies that a quantum channel with a $k$-dimensional error correcting code under a perturbation of rank $\le r$ will still have a $(k-r)$-dimensional error correcting code. Moreover, it is shown that if $A$ is normal or if the dimension of $A$ is finite, then $\Lambda_k(A)$ can be obtained as the intersection of $\Lambda_{k-r}(A+F)$ for a collection of rank $r$ operators $F$. Examples are given to show that the result fails if $A$ is a general operator. The closure and the interior of the convex set $\Lambda_k(A)$ are completely determined. Analogous results are obtained for $\Lambda_\infty(A)$ defined as the set of scalars $\lambda$ such that $PAP = \lambda P$ for an infinite rank orthogonal projection $P$. It is shown that $\Lambda_\infty(A)$ is the intersection of all $\Lambda_k(A)$ for $k = 1, 2, >...$. If $A - \mu I$ is not compact for any $\mu \in \IC$, then the closure and the interior of $\Lambda_\infty(A)$ coincide with those of the essential numerical range of $A$. The situation for the special case when $A-\mu I$ is compact for some $\mu \in \IC$ is also studied.
math.FA quant-ph
for a positive integer k the rankk numerical range lambda_ka of an operator a acting on a hilbert space ch of dimension at least k is the set of scalars lambda such that pap lambda p for some rank k orthogonal projection p in this paper a close connection between low rank perturbation of an operator a and lambda_ka is established in particular for 1 le r k it is shown that lambda_ka subseteq lambda_kraf for any operator f with rank f le r in quantum computing this result implies that a quantum channel with a kdimensional error correcting code under a perturbation of rank le r will still have a krdimensional error correcting code moreover it is shown that if a is normal or if the dimension of a is finite then lambda_ka can be obtained as the intersection of lambda_kraf for a collection of rank r operators f examples are given to show that the result fails if a is a general operator the closure and the interior of the convex set lambda_ka are completely determined analogous results are obtained for lambda_inftya defined as the set of scalars lambda such that pap lambda p for an infinite rank orthogonal projection p it is shown that lambda_inftya is the intersection of all lambda_ka for k 1 2 if a mu i is not compact for any mu in ic then the closure and the interior of lambda_inftya coincide with those of the essential numerical range of a the situation for the special case when amu i is compact for some mu in ic is also studied
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710.2899
Discovery of 21cm absorption in a $z_{\rm abs} =2.289$ DLA towards TXS 0311+430: The first low spin temperature absorber at z > 1
We report the detection of HI 21 cm absorption from the $z=2.289$ damped Lyman-$\alpha$ system (DLA) towards TXS 0311+430, with the Green Bank Telescope. The 21 cm absorption has a velocity spread (between nulls) of $\sim 110$ km s$^{-1}$ and an integrated optical depth of $\int \tau {\rm d}V = (0.818 \pm 0.085)$ km s$^{-1}$. We also present new Giant Metrewave Radio Telescope 602 MHz imaging of the radio continuum. TXS 0311+430 is unresolved at this frequency, indicating that the covering factor of the DLA is likely to be high. Combining the integrated optical depth with the DLA HI column density of \nhi = $(2 \pm 0.5) \times 10^{20}$ \cm, yields a spin temperature of $T_s = (138 \pm 36)$ K, assuming a covering factor of unity. This is the first case of a low spin temperature ($< 350$ K) in a $z > 1$ DLA and is among the lowest ever measured in any DLA. Indeed, the $T_s$ measured for this DLA is similar to values measured in the Milky Way and local disk galaxies. We also determine a lower limit (Si/H) $\gtrsim 1/3$ solar for the DLA metallicity, amongst the highest abundances measured in DLAs at any redshift. Based on low redshift correlations, the low $T_s$, large 21 cm absorption width and high metallicity all suggest that the $z \sim 2.289$ DLA is likely to arise in a massive, luminous disk galaxy.
astro-ph
we report the detection of hi 21 cm absorption from the z2289 damped lymanalpha system dla towards txs 0311430 with the green bank telescope the 21 cm absorption has a velocity spread between nulls of sim 110 km s1 and an integrated optical depth of int tau rm dv 0818 pm 0085 km s1 we also present new giant metrewave radio telescope 602 mhz imaging of the radio continuum txs 0311430 is unresolved at this frequency indicating that the covering factor of the dla is likely to be high combining the integrated optical depth with the dla hi column density of nhi 2 pm 05 times 1020 cm yields a spin temperature of t_s 138 pm 36 k assuming a covering factor of unity this is the first case of a low spin temperature 350 k in a z 1 dla and is among the lowest ever measured in any dla indeed the t_s measured for this dla is similar to values measured in the milky way and local disk galaxies we also determine a lower limit sih gtrsim 13 solar for the dla metallicity amongst the highest abundances measured in dlas at any redshift based on low redshift correlations the low t_s large 21 cm absorption width and high metallicity all suggest that the z sim 2289 dla is likely to arise in a massive luminous disk galaxy
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710.29
In Search of Possible Associations between Planetary Nebulae and Open Clusters
We consider the possibility of cluster membership for 13 planetary nebulae that are located in close proximity to open clusters lying in their lines of sight. The short lifetimes and low sample size of intermediate-mass planetary nebulae with respect to nearby open clusters conspire to reduce the probability of observing a true association. Not surprisingly, line of sight coincidences almost certainly exist for 7 of the 13 cases considered. Additional studies are advocated, however, for 6 planetary nebula/open cluster coincidences in which a physical association is not excluded by the available evidence, namely M 1-80/Berkeley 57, NGC 2438/NGC 2437, NGC 2452/NGC 2453, VBRC 2 & NGC 2899/IC 2488, and HeFa 1/NGC 6067. A number of additional potential associations between planetary nebulae and open clusters is tabulated for reference purposes. It is noteworthy that the strongest cases involve planetary nebulae lying in cluster coronae, a feature also found for short-period cluster Cepheids, which are themselves potential progenitors of planetary nebulae.
astro-ph
we consider the possibility of cluster membership for 13 planetary nebulae that are located in close proximity to open clusters lying in their lines of sight the short lifetimes and low sample size of intermediatemass planetary nebulae with respect to nearby open clusters conspire to reduce the probability of observing a true association not surprisingly line of sight coincidences almost certainly exist for 7 of the 13 cases considered additional studies are advocated however for 6 planetary nebulaopen cluster coincidences in which a physical association is not excluded by the available evidence namely m 180berkeley 57 ngc 2438ngc 2437 ngc 2452ngc 2453 vbrc 2 ngc 2899ic 2488 and hefa 1ngc 6067 a number of additional potential associations between planetary nebulae and open clusters is tabulated for reference purposes it is noteworthy that the strongest cases involve planetary nebulae lying in cluster coronae a feature also found for shortperiod cluster cepheids which are themselves potential progenitors of planetary nebulae
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710.2901
Bulges versus disks: the evolution of angular momentum in cosmological simulations of galaxy formation
We investigate the evolution of angular momentum in simulations of galaxy formation in a cold dark matter universe. We analyse two model galaxies generated in the N-body/hydrodynamic simulations of Okamoto et al. Starting from identical initial conditions, but using different assumptions for the baryonic physics, one of the simulations produced a bulge-dominated galaxy and the other one a disc-dominated galaxy. The main difference is the treatment of star formation and feedback, both of which were designed to be more efficient in the disc-dominated object. We find that the specific angular momentum of the disc-dominated galaxy tracks the evolution of the angular momentum of the dark matter halo very closely: the angular momentum grows as predicted by linear theory until the epoch of maximum expansion and remains constant thereafter. By contrast, the evolution of the angular momentum of the bulge-dominated galaxy resembles that of the central, most bound halo material: it also grows at first according to linear theory, but 90% of it is rapidly lost as pre-galactic fragments, into which gas had cooled efficiently, merge, transferring their orbital angular momentum to the outer halo by tidal effects. The disc-dominated galaxy avoids this fate because the strong feedback reheats the gas which accumulates in an extended hot reservoir and only begins to cool once the merging activity has subsided. Our analysis lends strong support to the classical theory of disc formation whereby tidally torqued gas is accreted into the centre of the halo conserving its angular momentum.
astro-ph
we investigate the evolution of angular momentum in simulations of galaxy formation in a cold dark matter universe we analyse two model galaxies generated in the nbodyhydrodynamic simulations of okamoto et al starting from identical initial conditions but using different assumptions for the baryonic physics one of the simulations produced a bulgedominated galaxy and the other one a discdominated galaxy the main difference is the treatment of star formation and feedback both of which were designed to be more efficient in the discdominated object we find that the specific angular momentum of the discdominated galaxy tracks the evolution of the angular momentum of the dark matter halo very closely the angular momentum grows as predicted by linear theory until the epoch of maximum expansion and remains constant thereafter by contrast the evolution of the angular momentum of the bulgedominated galaxy resembles that of the central most bound halo material it also grows at first according to linear theory but 90 of it is rapidly lost as pregalactic fragments into which gas had cooled efficiently merge transferring their orbital angular momentum to the outer halo by tidal effects the discdominated galaxy avoids this fate because the strong feedback reheats the gas which accumulates in an extended hot reservoir and only begins to cool once the merging activity has subsided our analysis lends strong support to the classical theory of disc formation whereby tidally torqued gas is accreted into the centre of the halo conserving its angular momentum
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710.2902
A Half-Megasecond Chandra Observation of the Oxygen-Rich Supernova Remnant G292.0+1.8
We report on our initial analysis of a deep 510 ks observation of the Galactic oxygen-rich supernova remnant (SNR) G292.0+1.8 with the {\it Chandra X-ray Observatory}. Our new {\it Chandra} ACIS-I observation has a larger field of view and an order of magnitude deeper exposure than the previous {\it Chandra} observation, which allows us to cover the entire SNR and to detect new metal-rich ejecta features. We find a highly non-uniform distribution of thermodynamic conditions of the X-ray emitting hot gas that correlates well with the optical [O {\small III}] emission, suggesting the possibility that the originating supernova explosion of G292.0+1.8 was itself asymmetric. We also reveal spectacular substructures of a torus, a jet, and an extended central compact nebula all associated with the embedded pulsar J1124$-$5916.
astro-ph
we report on our initial analysis of a deep 510 ks observation of the galactic oxygenrich supernova remnant snr g292018 with the it chandra xray observatory our new it chandra acisi observation has a larger field of view and an order of magnitude deeper exposure than the previous it chandra observation which allows us to cover the entire snr and to detect new metalrich ejecta features we find a highly nonuniform distribution of thermodynamic conditions of the xray emitting hot gas that correlates well with the optical o small iii emission suggesting the possibility that the originating supernova explosion of g292018 was itself asymmetric we also reveal spectacular substructures of a torus a jet and an extended central compact nebula all associated with the embedded pulsar j11245916
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710.2903
Non-LTE dust nucleation in sub-saturated vapors
We use the kinetic theory of nucleation to explore the properties of dust nucleation in sub-saturated vapors. Due to radiation losses, the sub-critical clusters have a smaller temperature compared to their vapor. This alters the dynamical balance between attachment and detachment of monomers, allowing for stable nucleation of grains in vapors that are sub-saturated for their temperature. We find this effect particularly important at low densities and in the absence of a strong background radiation field. We find new conditions for stable nucleation in the n-T phase diagram. The nucleation in the non-LTE regions is likely to be at much slower rate than in the super-saturated vapors. We evaluate the nucleation rate, warning the reader that it does depend on poorly substantiated properties of the macro-molecules assumed in the computation. On the other hand, the conditions for nucleation depend only on the properties of the large stable grains and are more robust. We finally point out that this mechanism may be relevant in the early universe as an initial dust pollution mechanism, since once the interstellar medium is polluted with dust, mantle growth is likely to be dominant over non-LTE nucleation in the diffuse medium.
astro-ph cond-mat.soft physics.chem-ph
we use the kinetic theory of nucleation to explore the properties of dust nucleation in subsaturated vapors due to radiation losses the subcritical clusters have a smaller temperature compared to their vapor this alters the dynamical balance between attachment and detachment of monomers allowing for stable nucleation of grains in vapors that are subsaturated for their temperature we find this effect particularly important at low densities and in the absence of a strong background radiation field we find new conditions for stable nucleation in the nt phase diagram the nucleation in the nonlte regions is likely to be at much slower rate than in the supersaturated vapors we evaluate the nucleation rate warning the reader that it does depend on poorly substantiated properties of the macromolecules assumed in the computation on the other hand the conditions for nucleation depend only on the properties of the large stable grains and are more robust we finally point out that this mechanism may be relevant in the early universe as an initial dust pollution mechanism since once the interstellar medium is polluted with dust mantle growth is likely to be dominant over nonlte nucleation in the diffuse medium
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710.2904
Planets Around Massive Subgiants
Compared to planets around Sun-like stars, relatively little is known about the occurrence rate and orbital properties of planets around stars more massive than 1.3 Msun. The apparent deficit of planets around massive stars is due to a strong selection bias against early-type dwarfs in Doppler-based planet searches. One method to circumvent the difficulties inherent to massive main-sequence stars is to instead observe them after they have evolved onto the subgiant branch. We show how the cooler atmospheres and slower rotation velocities of subgiants make them ideal proxies for F- and A-type stars. We present the early results from our planet search that reveal a paucity of planets orbiting within 1 AU of stars more massive than 1.5 Msun, and evidence of a rising trend in giant planet occurrence with stellar mass.
astro-ph
compared to planets around sunlike stars relatively little is known about the occurrence rate and orbital properties of planets around stars more massive than 13 msun the apparent deficit of planets around massive stars is due to a strong selection bias against earlytype dwarfs in dopplerbased planet searches one method to circumvent the difficulties inherent to massive mainsequence stars is to instead observe them after they have evolved onto the subgiant branch we show how the cooler atmospheres and slower rotation velocities of subgiants make them ideal proxies for f and atype stars we present the early results from our planet search that reveal a paucity of planets orbiting within 1 au of stars more massive than 15 msun and evidence of a rising trend in giant planet occurrence with stellar mass
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710.2905
Chiral Random Two-Matrix Theory and QCD with imaginary chemical potential
We summarise recent results for the chiral Random Two-Matrix Theory constructed to describe QCD in the epsilon-regime with imaginary chemical potential. The virtue of this theory is that unquenched Lattice simulations can be used to determine both low energy constants Sigma and F in the leading order chiral Lagrangian, due to their respective coupling to quark mass and chemical potential. We briefly recall the analytic formulas for all density and individual eigenvalue correlations and then illustrate them in detail in the simplest, quenched case with imaginary isospin chemical potential. Some peculiarities are pointed out for this example: i) the factorisation of density and individual eigenvalue correlation functions for large chemical potential and ii) the factorisation of the non-Gaussian weight function of bi-orthogonal polynomials into Gaussian weights with ordinary orthogonal polynomials.
hep-th hep-lat
we summarise recent results for the chiral random twomatrix theory constructed to describe qcd in the epsilonregime with imaginary chemical potential the virtue of this theory is that unquenched lattice simulations can be used to determine both low energy constants sigma and f in the leading order chiral lagrangian due to their respective coupling to quark mass and chemical potential we briefly recall the analytic formulas for all density and individual eigenvalue correlations and then illustrate them in detail in the simplest quenched case with imaginary isospin chemical potential some peculiarities are pointed out for this example i the factorisation of density and individual eigenvalue correlation functions for large chemical potential and ii the factorisation of the nongaussian weight function of biorthogonal polynomials into gaussian weights with ordinary orthogonal polynomials
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710.2906
The gl(1|1) super-current algebra: the role of twist and logarithmic fields
A free field representation of the gl(1|1)_k current algebra at arbitrary level k is given in terms of two scalar fields and a symplectic fermion. The primary fields for all representations are explicitly constructed using the twist and logarithmic fields in the symplectic fermion sector. A closed operator algebra is described at integer level k. Using a new super spin charge separation involving gl(1|1)_N and su(N)_0, we describe how the gl(1|1)_N current algebra can describe a non-trivial critical point of disordered Dirac fermions. Local gl(1|1) invariant lagrangians are defined which generalize the Liouville and sine-Gordon theories. We apply these new tools to the spin quantum Hall transition and show that it can be described as a logarithmic perturbation of the osp(2|2)_k current algebra at k=-2.
hep-th math-ph math.MP
a free field representation of the gl11_k current algebra at arbitrary level k is given in terms of two scalar fields and a symplectic fermion the primary fields for all representations are explicitly constructed using the twist and logarithmic fields in the symplectic fermion sector a closed operator algebra is described at integer level k using a new super spin charge separation involving gl11_n and sun_0 we describe how the gl11_n current algebra can describe a nontrivial critical point of disordered dirac fermions local gl11 invariant lagrangians are defined which generalize the liouville and sinegordon theories we apply these new tools to the spin quantum hall transition and show that it can be described as a logarithmic perturbation of the osp22_k current algebra at k2
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710.2907
Renormalization group approach to 2D Coulomb interacting Dirac fermions with random gauge potential
We argue that massless Dirac particles in two spatial dimensions with $1/r$ Coulomb repulsion and quenched random gauge field are described by a manifold of fixed points which can be accessed perturbatively in disorder and interaction strength, thereby confirming and extending the results of arXiv:0707.4171. At small interaction and small randomness, there is an infra-red stable fixed curve which merges with the strongly interacting infra-red unstable line at a critical endpoint, along which the dynamical critical exponent $z=1$.
cond-mat.mes-hall cond-mat.dis-nn
we argue that massless dirac particles in two spatial dimensions with 1r coulomb repulsion and quenched random gauge field are described by a manifold of fixed points which can be accessed perturbatively in disorder and interaction strength thereby confirming and extending the results of arxiv07074171 at small interaction and small randomness there is an infrared stable fixed curve which merges with the strongly interacting infrared unstable line at a critical endpoint along which the dynamical critical exponent z1
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710.2908
A tour of theta dualities on moduli spaces of sheaves
The purpose of this paper is twofold. First, we survey known results about theta dualities on moduli spaces of sheaves on curves and surfaces. Secondly, we establish new such dualities in the surface case. Among others, the case of elliptic K3 surfaces is studied in detail; we propose further conjectures which are shown to imply strange duality.
math.AG
the purpose of this paper is twofold first we survey known results about theta dualities on moduli spaces of sheaves on curves and surfaces secondly we establish new such dualities in the surface case among others the case of elliptic k3 surfaces is studied in detail we propose further conjectures which are shown to imply strange duality
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710.2909
Signal and Charge Transfer Efficiency of Few Electrons Clocked on Microscopic Superfluid Helium Channels
Electrons floating on the surface of liquid helium are possible spin-qubits for quantum information processing. Varying electric potentials are not expected to modify spin states, which allows their transport on helium using a charge-coupled device (CCD)-like array of underlying gates. This approach depends upon efficient inter-gate transfer of individual electrons. Measurements are presented here of the charge transfer efficiency (CTE) of few electrons clocked back and forth above a short microscopic CCD-like structure. A charge transfer efficiency of 0.99999992 is obtained for a clocking frequency of 800 kHz.
cond-mat.other
electrons floating on the surface of liquid helium are possible spinqubits for quantum information processing varying electric potentials are not expected to modify spin states which allows their transport on helium using a chargecoupled device ccdlike array of underlying gates this approach depends upon efficient intergate transfer of individual electrons measurements are presented here of the charge transfer efficiency cte of few electrons clocked back and forth above a short microscopic ccdlike structure a charge transfer efficiency of 099999992 is obtained for a clocking frequency of 800 khz
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710.291
Generating dark solitons by single photons
We show that dark solitons in 1D bose systems may be excited by resonant absorption of single quanta of an external ac field. The energy of the quantum $\hbar\omega$ should be slightly blue-detuned from the energy of a soliton with momentum $\hbar q$, where $q$ is the external field wavenumber $q$. We calculate the absorption cross-section and show that it has power-law dependence on the frequency detuning. This reflects the quantum nature of the absorption process and the orthogonality catastrophe phenomenon associated with it.
cond-mat.other cond-mat.stat-mech
we show that dark solitons in 1d bose systems may be excited by resonant absorption of single quanta of an external ac field the energy of the quantum hbaromega should be slightly bluedetuned from the energy of a soliton with momentum hbar q where q is the external field wavenumber q we calculate the absorption crosssection and show that it has powerlaw dependence on the frequency detuning this reflects the quantum nature of the absorption process and the orthogonality catastrophe phenomenon associated with it
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710.2911
Spectral isolation of bi-invariant metrics on compact Lie groups
We show that a bi-invariant metric on a compact connected Lie group $G$ is spectrally isolated within the class of left-invariant metrics. In fact, we prove that given a bi-invariant metric $g_0$ on $G$ there is a positive integer $N$ such that, within a neighborhood of $g_0$ in the class of left-invariant metrics of at most the same volume, $g_0$ is uniquely determined by the first $N$ distinct non-zero eigenvalues of its Laplacian (ignoring multiplicities). In the case where $G$ is simple, $N$ can be chosen to be two.
math.DG
we show that a biinvariant metric on a compact connected lie group g is spectrally isolated within the class of leftinvariant metrics in fact we prove that given a biinvariant metric g_0 on g there is a positive integer n such that within a neighborhood of g_0 in the class of leftinvariant metrics of at most the same volume g_0 is uniquely determined by the first n distinct nonzero eigenvalues of its laplacian ignoring multiplicities in the case where g is simple n can be chosen to be two
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710.2912
Updating Probabilities: An Econometric Example
We demonstrate how information in the form of observable data and moment constraints are introduced into the method of Maximum relative Entropy (ME). A general example of updating with data and moments is shown. A specific econometric example is solved in detail which can then be used as a template for real world problems. A numerical example is compared to a large deviation solution which illustrates some of the advantages of the ME method.
stat.ME stat.CO
we demonstrate how information in the form of observable data and moment constraints are introduced into the method of maximum relative entropy me a general example of updating with data and moments is shown a specific econometric example is solved in detail which can then be used as a template for real world problems a numerical example is compared to a large deviation solution which illustrates some of the advantages of the me method
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710.2913
Tight closure does not commute with localization
We give an example showing that tight closure does not commute with localization.
math.AC math.AG
we give an example showing that tight closure does not commute with localization
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710.2914
Andreev-like reflections with cold atoms
We propose a setup in which Andreev-like reflections predicted for 1D transport systems could be observed time-dependently using cold atoms in a 1D optical lattice. Using time-dependent Density Matrix Renormalisation Group methods we analyse the wavepacket dynamics as a density excitation propagates across a boundary in the interaction strength. These phenomena exhibit good correspondence with predictions from Luttinger liquid models and could be observed in current experiments in the context of the Bose-Hubbard model.
cond-mat.other
we propose a setup in which andreevlike reflections predicted for 1d transport systems could be observed timedependently using cold atoms in a 1d optical lattice using timedependent density matrix renormalisation group methods we analyse the wavepacket dynamics as a density excitation propagates across a boundary in the interaction strength these phenomena exhibit good correspondence with predictions from luttinger liquid models and could be observed in current experiments in the context of the bosehubbard model
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710.2915
The late-time tails in the Reissner-Nordstr\"{o}m spacetime revisited
We propose that the late-time tail problem in the Reissner-Nordstr\"{o}m (RN) spacetime is dual to a tail problem in the Schwarzschild spacetime with a different initial data set: at a fixed observation point the asymptotic decay rate of the fields are equal. This duality is used to find the decay rate for tails in RN. This decay rate is exactly as in Schwarzschild, including the case of the extremely-charged RN spacetime (ERN). The only case where any deviation from the Schwarzschild decay rate is found is the case of the tails along the event horizon of an ERN spacetime, where the decay rate is the same as at future null infinity. As observed at a fixed location, the decay rate in ERN is the same as in Schwarzschild. We verify these expectations with numerical simulations.
gr-qc
we propose that the latetime tail problem in the reissnernordstrom rn spacetime is dual to a tail problem in the schwarzschild spacetime with a different initial data set at a fixed observation point the asymptotic decay rate of the fields are equal this duality is used to find the decay rate for tails in rn this decay rate is exactly as in schwarzschild including the case of the extremelycharged rn spacetime ern the only case where any deviation from the schwarzschild decay rate is found is the case of the tails along the event horizon of an ern spacetime where the decay rate is the same as at future null infinity as observed at a fixed location the decay rate in ern is the same as in schwarzschild we verify these expectations with numerical simulations
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710.2916
Dissociation and ionization of small molecules steered by external noise
We show that ionization and dissociation can be influenced separately in a molecule with appropriate external noise. Specifically we investigate the hydrogen molecular ion under a stochastic force quantum mechanically beyond the Born-Oppenheimer approximation. We find that up to 30% of dissociation without ionization can be achieved by suitably tuning the forcing parameters.
quant-ph
we show that ionization and dissociation can be influenced separately in a molecule with appropriate external noise specifically we investigate the hydrogen molecular ion under a stochastic force quantum mechanically beyond the bornoppenheimer approximation we find that up to 30 of dissociation without ionization can be achieved by suitably tuning the forcing parameters
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710.2917
Comparison of Boltzmann Kinetics with Quantum Dynamics for a Chiral Yukawa Model Far From Equilibrium
Boltzmann equations are often used to describe the non-equilibrium time-evolution of many-body systems in particle physics. Prominent examples are the computation of the baryon asymmetry of the universe and the evolution of the quark-gluon plasma after a relativistic heavy ion collision. However, Boltzmann equations are only a classical approximation of the quantum thermalization process, which is described by so-called Kadanoff-Baym equations. This raises the question how reliable Boltzmann equations are as approximations to the complete Kadanoff-Baym equations. Therefore, we present in this article a detailed comparison of Boltzmann and Kadanoff-Baym equations in the framework of a chirally invariant Yukawa-type quantum field theory including fermions and scalars. The obtained numerical results reveal significant differences between both types of equations. Apart from quantitative differences, on a qualitative level the late-time universality respected by Kadanoff-Baym equations is severely restricted in the case of Boltzmann equations. Furthermore, Kadanoff-Baym equations strongly separate the time scales between kinetic and chemical equilibration. In contrast to this standard Boltzmann equations cannot describe the process of quantum-chemical equilibration, and consequently also cannot feature the above separation of time scales.
hep-ph
boltzmann equations are often used to describe the nonequilibrium timeevolution of manybody systems in particle physics prominent examples are the computation of the baryon asymmetry of the universe and the evolution of the quarkgluon plasma after a relativistic heavy ion collision however boltzmann equations are only a classical approximation of the quantum thermalization process which is described by socalled kadanoffbaym equations this raises the question how reliable boltzmann equations are as approximations to the complete kadanoffbaym equations therefore we present in this article a detailed comparison of boltzmann and kadanoffbaym equations in the framework of a chirally invariant yukawatype quantum field theory including fermions and scalars the obtained numerical results reveal significant differences between both types of equations apart from quantitative differences on a qualitative level the latetime universality respected by kadanoffbaym equations is severely restricted in the case of boltzmann equations furthermore kadanoffbaym equations strongly separate the time scales between kinetic and chemical equilibration in contrast to this standard boltzmann equations cannot describe the process of quantumchemical equilibration and consequently also cannot feature the above separation of time scales
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710.2918
Twisted Yangians and finite W-algebras
We construct an explicit set of generators for the finite W-algebras associated to nilpotent matrices in the symplectic or orthogonal Lie algebras whose Jordan blocks are all of the same size. We use these generators to show that such finite W-algebras are quotients of twisted Yangians.
math.QA math.RA math.RT
we construct an explicit set of generators for the finite walgebras associated to nilpotent matrices in the symplectic or orthogonal lie algebras whose jordan blocks are all of the same size we use these generators to show that such finite walgebras are quotients of twisted yangians
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710.2919
Phase structure of twisted Eguchi-Kawai model
We study the phase structure of the four-dimensional twisted Eguchi-Kawai model using numerical simulations. This model is an effective tool for studying SU(N) gauge theory in the large-N limit and provides a nonperturbative formulation of the gauge theory on noncommutative spaces. Recently it was found that its Z_N^4 symmetry, which is crucial for the validity of this model, can break spontaneously in the intermediate coupling region. We investigate in detail the symmetry breaking point from the weak coupling side. Our simulation results show that the continuum limit of this model cannot be taken.
hep-lat hep-th
we study the phase structure of the fourdimensional twisted eguchikawai model using numerical simulations this model is an effective tool for studying sun gauge theory in the largen limit and provides a nonperturbative formulation of the gauge theory on noncommutative spaces recently it was found that its z_n4 symmetry which is crucial for the validity of this model can break spontaneously in the intermediate coupling region we investigate in detail the symmetry breaking point from the weak coupling side our simulation results show that the continuum limit of this model cannot be taken
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710.292
Continuum theory for the piezoelectric response of chiral nanotubes under uniaxial and torsional stresses
We develop and solve a continuum theory for the piezoelectric response of nanotubes under applied uniaxial and torsional stresses. We find that the piezoelectric response is controlled by the chiral angle, the aspect ratio, and two dimensionless parameters specifying the ratio of the strengths of the electrostatic and elastic energies. The model is solved in two limiting cases and the solutions are discussed. These systems are found to have several unexpected physical effects not seen in conventional bulk systems, including a strong stretch-twist coupling and the development of a significant bound charge density in addition to a surface charge density. The model is applied to estimate the piezoelectric response of a boron-nitride nanotube under uniform tensile stress.
cond-mat.mtrl-sci cond-mat.mes-hall
we develop and solve a continuum theory for the piezoelectric response of nanotubes under applied uniaxial and torsional stresses we find that the piezoelectric response is controlled by the chiral angle the aspect ratio and two dimensionless parameters specifying the ratio of the strengths of the electrostatic and elastic energies the model is solved in two limiting cases and the solutions are discussed these systems are found to have several unexpected physical effects not seen in conventional bulk systems including a strong stretchtwist coupling and the development of a significant bound charge density in addition to a surface charge density the model is applied to estimate the piezoelectric response of a boronnitride nanotube under uniform tensile stress
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710.2921
Shock-Induced Flows through Packed Beds: Transient Regimes
The early stage of the transient regimes in the shock-induced flows within solid-packed beds are investigated in the linear longwave and high-frequency approximation. The transient resistance law is refined as the Duhameltime integral that follows from the general concept of dynamic tortuosity and compressibility of the packed beds. A closed-form solution is expected to describe accurately the early stage of the transient regime flow and is in qualitative agreement with available experimental data.
physics.class-ph physics.gen-ph
the early stage of the transient regimes in the shockinduced flows within solidpacked beds are investigated in the linear longwave and highfrequency approximation the transient resistance law is refined as the duhameltime integral that follows from the general concept of dynamic tortuosity and compressibility of the packed beds a closedform solution is expected to describe accurately the early stage of the transient regime flow and is in qualitative agreement with available experimental data
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710.2922
Experimental demonstration of phase measurement precision beating standard quantum limit by projection measurement
We propose and demonstrate experimentally a projection scheme to measure the quantum phase with a precision beating the standard quantum limit. The initial input state is a twin Fock state $|N,N>$ proposed by Holland and Burnett [Phys. Rev. Lett. {\bf 71}, 1355 (1993)] but the phase information is extracted by a quantum state projection measurement. The phase precision is about $1.4/N$ for large photon number $N$, which approaches the Heisenberg limit of 1/N. Experimentally, we employ a four-photon state from type-II parametric down-conversion and achieve a phase uncertainty of $0.291\pm 0.001$ beating the standard quantum limit of $1/\sqrt{N} = 1/2$ for four photons.
quant-ph
we propose and demonstrate experimentally a projection scheme to measure the quantum phase with a precision beating the standard quantum limit the initial input state is a twin fock state nn proposed by holland and burnett phys rev lett bf 71 1355 1993 but the phase information is extracted by a quantum state projection measurement the phase precision is about 14n for large photon number n which approaches the heisenberg limit of 1n experimentally we employ a fourphoton state from typeii parametric downconversion and achieve a phase uncertainty of 0291pm 0001 beating the standard quantum limit of 1sqrtn 12 for four photons
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710.2923
Looking for signals beyond the neutrino Standard Model
Any new neutrino physics at the TeV scale must include a suppression mechanism to keep its contribution to light neutrino masses small enough. We review some seesaw model examples with weakly broken lepton number, and comment on the expected effects at large colliders and in neutrino oscillations.
hep-ph
any new neutrino physics at the tev scale must include a suppression mechanism to keep its contribution to light neutrino masses small enough we review some seesaw model examples with weakly broken lepton number and comment on the expected effects at large colliders and in neutrino oscillations
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710.2924
Neutron Polarisabilities from Deuteron Compton Scattering in \chiEFT
Chiral Effective Field Theory is for photon energies up to 200 MeV the tool to accurately determine the polarisabilities of the neutron from deuteron Compton scattering. A multipole analysis reveals that dispersive effects from an explicit Delta(1232) prove in particular indispensable to understand the data at 95 MeV measured at SAL. Simple power-counting arguments derived from nuclear phenomenology lead to the correct Thomson limit and gauge invariance. At next-to-leading order, the static scalar dipole polarisabilities are extracted as identical for proton and neutron within the error-bar of available data: \alpha^n=11.6\pm1.5_stat\pm0.6_Baldin, \beta^n=3.6\mp1.5_stat\pm0.6_Baldin for the neutron, in units of 10^-4 fm^3, compared to \alpha^p=11.0\pm1.4_stat\pm0.4_Baldin, \beta}^p=2.8\mp1.4_stat\pm0.4_Baldin for the proton in the same framework. New experiments e.g. at MAXlab (Lund) will improve the statistical error-bar.
nucl-th
chiral effective field theory is for photon energies up to 200 mev the tool to accurately determine the polarisabilities of the neutron from deuteron compton scattering a multipole analysis reveals that dispersive effects from an explicit delta1232 prove in particular indispensable to understand the data at 95 mev measured at sal simple powercounting arguments derived from nuclear phenomenology lead to the correct thomson limit and gauge invariance at nexttoleading order the static scalar dipole polarisabilities are extracted as identical for proton and neutron within the errorbar of available data alphan116pm15_statpm06_baldin betan36mp15_statpm06_baldin for the neutron in units of 104 fm3 compared to alphap110pm14_statpm04_baldin betap28mp14_statpm04_baldin for the proton in the same framework new experiments eg at maxlab lund will improve the statistical errorbar
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710.2925
Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
We focus on a powerful aspect of chiral perturbation theory (chi PT) which provides us with a ``bridge'' over different reactions. For this purpose, we study a contact operator which contributes p-wave pi-production and several weak processes. We fix the unknown coupling of the contact operator using a matrix element of a low-energy weak process (pp\to de^+\nu_e), and then calculate the partial wave amplitude (a_0) for the p-wave pi-production (pp\to pn\pi^+). We find that the chiral operator including the contact term does not reproduce a_0 extracted from data, showing that the bridging over reactions with significantly different kinematics is not necessarily successful. We argue the importance of a specific higher order calculation. In order to gain an insight into a higher order calculation, we consider a higher order counter term, and find that the energy dependence of a_0 is then consistent with the data.
nucl-th hep-ph
we focus on a powerful aspect of chiral perturbation theory chi pt which provides us with a bridge over different reactions for this purpose we study a contact operator which contributes pwave piproduction and several weak processes we fix the unknown coupling of the contact operator using a matrix element of a lowenergy weak process ppto denu_e and then calculate the partial wave amplitude a_0 for the pwave piproduction ppto pnpi we find that the chiral operator including the contact term does not reproduce a_0 extracted from data showing that the bridging over reactions with significantly different kinematics is not necessarily successful we argue the importance of a specific higher order calculation in order to gain an insight into a higher order calculation we consider a higher order counter term and find that the energy dependence of a_0 is then consistent with the data
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710.2926
Long Baseline Neutrino Experiments with Two-Detector Setup
I discuss why and how powerful is the two-detector setting in neutrino oscillation experiments. I cover three concrete examples: (1) reactor \theta_{13} experiments, (2) T2KK, Tokai-to-Kamioka-Korea two-detector complex for measuring CP violation, determining the neutrino mass hierarchy, and resolving the eight-fold parameter degeneracy, (3) two-detector setting in a neutrino factory at baselines 3000 km and 7000 km for detecting effects of non-standard interactions (NSI) of neutrinos.
hep-ph hep-ex
i discuss why and how powerful is the twodetector setting in neutrino oscillation experiments i cover three concrete examples 1 reactor theta_13 experiments 2 t2kk tokaitokamiokakorea twodetector complex for measuring cp violation determining the neutrino mass hierarchy and resolving the eightfold parameter degeneracy 3 twodetector setting in a neutrino factory at baselines 3000 km and 7000 km for detecting effects of nonstandard interactions nsi of neutrinos
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710.2927
Renormalization group analysis of the chiral pion production operator for NN\to d\pi
We are interested in the consistency between the cutoff, chiral symmetry, and the power counting. For this purpose, we apply the Wilsonian renormalization group (RG) to an operator and then decrease the Wilsonian cutoff. As an example, we study the s-wave pion production operator for NN\to d\pi, derived in chiral perturbation theory. We find that the renormalized part of the RG effective operator is accurately absorbed by chiral counter terms of higher order with natural coefficients. Thus, the use of the (sharp) cutoff regularization does not require us to introduce chiral-symmetry-breaking counter terms, at least in the case of the NN\to d\pi reaction.
nucl-th hep-ph
we are interested in the consistency between the cutoff chiral symmetry and the power counting for this purpose we apply the wilsonian renormalization group rg to an operator and then decrease the wilsonian cutoff as an example we study the swave pion production operator for nnto dpi derived in chiral perturbation theory we find that the renormalized part of the rg effective operator is accurately absorbed by chiral counter terms of higher order with natural coefficients thus the use of the sharp cutoff regularization does not require us to introduce chiralsymmetrybreaking counter terms at least in the case of the nnto dpi reaction
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710.2928
Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
We address two fundamental aspects of flavor physics: the mass hierarchy and the large lepton mixing angles. On one side, left-right flavor symmetry realizes the democratic mass matrix patterns and explains why one family is much heavier than the others. On the other side, discrete flavor symmetry such as A4 leads to the observed tribimaximal mixing for the leptons. We show that, by explicitly breaking the left-right flavor symmetry into the diagonal A4, it is possible to explain both the observed charged fermion mass hierarchies and quark and lepton mixing angles. In particular we predict a heavy 3rd family, the tribimaximal mixing for the leptons, and we suggest a possible origin of the Cabibbo and other mixing angles for the quarks.
hep-ph
we address two fundamental aspects of flavor physics the mass hierarchy and the large lepton mixing angles on one side leftright flavor symmetry realizes the democratic mass matrix patterns and explains why one family is much heavier than the others on the other side discrete flavor symmetry such as a4 leads to the observed tribimaximal mixing for the leptons we show that by explicitly breaking the leftright flavor symmetry into the diagonal a4 it is possible to explain both the observed charged fermion mass hierarchies and quark and lepton mixing angles in particular we predict a heavy 3rd family the tribimaximal mixing for the leptons and we suggest a possible origin of the cabibbo and other mixing angles for the quarks
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710.2929
Quantum Barnes function as the partition function of the resolved conifold
We suggest a new strategy for proving large $N$ duality by interpreting Gromov-Witten, Donaldson-Thomas and Chern-Simons invariants of a Calabi-Yau threefold as different characterizations of the same holomorphic function. For the resolved conifold this function turns out to be the quantum Barnes function, a natural $q$-deformation of the classical one that in its turn generalizes Euler's gamma function. Our reasoning is based on a new formula for this function that expresses it as a graded product of $q$-shifted multifactorials.
math.AG hep-th math.QA
we suggest a new strategy for proving large n duality by interpreting gromovwitten donaldsonthomas and chernsimons invariants of a calabiyau threefold as different characterizations of the same holomorphic function for the resolved conifold this function turns out to be the quantum barnes function a natural qdeformation of the classical one that in its turn generalizes eulers gamma function our reasoning is based on a new formula for this function that expresses it as a graded product of qshifted multifactorials
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710.293
Atmospheric Circulation of Hot Jupiters: A Review of Current Understanding
Hot Jupiters are new laboratories for the physics of giant planet atmospheres. Subject to unusual forcing conditions, the circulation regime on these planets may be unlike anything known in the Solar System. Characterizing the atmospheric circulation of hot Jupiters is necessary for reliable interpretation of the multifaceted data currently being collected on these planets. We discuss several fundamental concepts of atmospheric dynamics that are likely central to obtaining a solid understanding of these fascinating atmospheres. A particular effort is made to compare the various modeling approaches employed so far to address this challenging problem.
astro-ph
hot jupiters are new laboratories for the physics of giant planet atmospheres subject to unusual forcing conditions the circulation regime on these planets may be unlike anything known in the solar system characterizing the atmospheric circulation of hot jupiters is necessary for reliable interpretation of the multifaceted data currently being collected on these planets we discuss several fundamental concepts of atmospheric dynamics that are likely central to obtaining a solid understanding of these fascinating atmospheres a particular effort is made to compare the various modeling approaches employed so far to address this challenging problem
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710.2931
Exchange biasing of single-domain Ni nanoparticles spontaneously grown in an antiferromagnetic MnO matrix
Exchange biased composites of ferromagnetic single-domain Ni nanoparticles embedded within large grains of MnO have been prepared by reduction of Ni$_x$Mn$_{1-x}$O$_4$ phases in flowing hydrogen. The Ni precipitates are 15-30 nm in extent, and the majority are completely encased within the MnO matrix. The manner in which the Ni nanoparticles are spontaneously formed imparts a high ferromagnetic- antiferromagnetic interface/volume ratio, which results in substantial exchange bias effects. Exchange bias fields of up to 100 Oe are observed, in cases where the starting Ni content $x$ in the precursor Ni$_x$Mn$_{1-x}$O$_4$ phase is small. For particles of approximately the same size, the exchange bias leads to significant hardening of the magnetization, with the coercive field scaling nearly linearly with the exchange bias field.
cond-mat.mtrl-sci
exchange biased composites of ferromagnetic singledomain ni nanoparticles embedded within large grains of mno have been prepared by reduction of ni_xmn_1xo_4 phases in flowing hydrogen the ni precipitates are 1530 nm in extent and the majority are completely encased within the mno matrix the manner in which the ni nanoparticles are spontaneously formed imparts a high ferromagnetic antiferromagnetic interfacevolume ratio which results in substantial exchange bias effects exchange bias fields of up to 100 oe are observed in cases where the starting ni content x in the precursor ni_xmn_1xo_4 phase is small for particles of approximately the same size the exchange bias leads to significant hardening of the magnetization with the coercive field scaling nearly linearly with the exchange bias field
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710.2932
Total positivity for cominuscule Grassmannians
In this paper we explore the combinatorics of the non-negative part (G/P)+ of a cominuscule Grassmannian. For each such Grassmannian we define Le-diagrams -- certain fillings of generalized Young diagrams which are in bijection with the cells of (G/P)+. In the classical cases, we describe Le-diagrams explicitly in terms of pattern avoidance. We also define a game on diagrams, by which one can reduce an arbitrary diagram to a Le-diagram. We give enumerative results and relate our Le-diagrams to other combinatorial objects. Surprisingly, the totally non-negative cells in the open Schubert cell of the odd and even orthogonal Grassmannians are (essentially) in bijection with preference functions and atomic preference functions respectively.
math.CO
in this paper we explore the combinatorics of the nonnegative part gp of a cominuscule grassmannian for each such grassmannian we define lediagrams certain fillings of generalized young diagrams which are in bijection with the cells of gp in the classical cases we describe lediagrams explicitly in terms of pattern avoidance we also define a game on diagrams by which one can reduce an arbitrary diagram to a lediagram we give enumerative results and relate our lediagrams to other combinatorial objects surprisingly the totally nonnegative cells in the open schubert cell of the odd and even orthogonal grassmannians are essentially in bijection with preference functions and atomic preference functions respectively
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710.2933
Alternative Derivation of Electromagnetic Cloaks and Concentrators
Beginning with a straightforward formulation of electromagnetic cloaking that reduces to a boundary value problem involving a single Maxwell first-order differential equation, explicit formulae for the relative permittivity-permeability dyadic and fields of spherical and circular cylindrical annular cloaks are derived in terms of general compressed radial coordinate functions. The general formulation is based on the requirements that the cloaking occurs for all possible incident fields and that the cloaks with frequency w > 0 have continuous tangential E and H fields across their outer surfaces, and zero normal D and B fields at their inner material surfaces. The tangential-field boundary conditions at the outer surface of the cloak ensure zero scattered fields, and the normal-field boundary conditions at the inner surface of the cloak are compatible with zero total fields inside the interior cavity of the cloak. For spherical cloaks, unlike cylindrical cloaks, these boundary conditions lead to all the tangential components of the E and H fields being continuously zero across their inner surfaces -- cylindrical cloaks having delta functions in polarization densities at their inner surfaces. For bodies with no interior free-space cavities, the formulation is used to derive nonscattering spherical and cylindrical concentrators that magnify the incident fields near their centers. For static fields (w = 0), the boundary value formulation is appropriately modified to obtain a permeability dyadic that will cloak magnetostatic fields. Causality conditions imply that, unlike magnetostatic cloaking, electrostatic cloaking as well as low-frequency cloaking for w > 0 is not realizable.
physics.class-ph physics.optics
beginning with a straightforward formulation of electromagnetic cloaking that reduces to a boundary value problem involving a single maxwell firstorder differential equation explicit formulae for the relative permittivitypermeability dyadic and fields of spherical and circular cylindrical annular cloaks are derived in terms of general compressed radial coordinate functions the general formulation is based on the requirements that the cloaking occurs for all possible incident fields and that the cloaks with frequency w 0 have continuous tangential e and h fields across their outer surfaces and zero normal d and b fields at their inner material surfaces the tangentialfield boundary conditions at the outer surface of the cloak ensure zero scattered fields and the normalfield boundary conditions at the inner surface of the cloak are compatible with zero total fields inside the interior cavity of the cloak for spherical cloaks unlike cylindrical cloaks these boundary conditions lead to all the tangential components of the e and h fields being continuously zero across their inner surfaces cylindrical cloaks having delta functions in polarization densities at their inner surfaces for bodies with no interior freespace cavities the formulation is used to derive nonscattering spherical and cylindrical concentrators that magnify the incident fields near their centers for static fields w 0 the boundary value formulation is appropriately modified to obtain a permeability dyadic that will cloak magnetostatic fields causality conditions imply that unlike magnetostatic cloaking electrostatic cloaking as well as lowfrequency cloaking for w 0 is not realizable
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710.2934
A Tale Of Two Spicules: The Impact of Spicules on the Magnetic Chromosphere
We use high-resolution observations of the Sun in Ca II H 3968 A from the Solar Optical Telescope on Hinode to show that there are at least two types of spicules that dominate the structure of the magnetic solar chromosphere. Both types are tied to the relentless magnetoconvective driving in the photosphere, but have very different dynamic properties. ``Type-I'' spicules are driven by shock waves that form when global oscillations and convective flows leak into the upper atmosphere along magnetic field lines on 3-7 minute timescales. ``Type-II'' spicules are much more dynamic: they form rapidly (in ~10s), are very thin (<200km wide), have lifetimes of 10-150s (at any one height) and seem to be rapidly heated to (at least) transition region temperatures, sending material through the chromosphere at speeds of order 50-150 km/s. The properties of Type II spicules suggest a formation process that is a consequence of magnetic reconnection, typically in the vicinity of magnetic flux concentrations in plage and network. Both types of spicules are observed to carry Alfven waves with significant amplitudes of order 20 km/s.
astro-ph
we use highresolution observations of the sun in ca ii h 3968 a from the solar optical telescope on hinode to show that there are at least two types of spicules that dominate the structure of the magnetic solar chromosphere both types are tied to the relentless magnetoconvective driving in the photosphere but have very different dynamic properties typei spicules are driven by shock waves that form when global oscillations and convective flows leak into the upper atmosphere along magnetic field lines on 37 minute timescales typeii spicules are much more dynamic they form rapidly in 10s are very thin 200km wide have lifetimes of 10150s at any one height and seem to be rapidly heated to at least transition region temperatures sending material through the chromosphere at speeds of order 50150 kms the properties of type ii spicules suggest a formation process that is a consequence of magnetic reconnection typically in the vicinity of magnetic flux concentrations in plage and network both types of spicules are observed to carry alfven waves with significant amplitudes of order 20 kms
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710.2935
Simulation Study of TenTen: A new Multi-TeV IACT array
TenTen is a proposed array of Imaging Atmospheric Cherenkov Telescopes (IACT) optimized for the gamma ray energy regime of 10 TeV to 100 TeV, but with a threshold of ~1 to a few TeV. It will offer a collecting area of 10 km2 above energies of 10 TeV. In the initial phase, a cell of 3 to 5 modest-sized telescopes, each with 10-30 m2 mirror area, is suggested for an Australian site. A possible expansion of the array could comprise many such cells. Here we present work on configuration and technical issues from our simulation studies of the array. Working topics include array layout, telescope size and optics, camera field of view, telescope trigger system, electronics, and site surveys.
astro-ph
tenten is a proposed array of imaging atmospheric cherenkov telescopes iact optimized for the gamma ray energy regime of 10 tev to 100 tev but with a threshold of 1 to a few tev it will offer a collecting area of 10 km2 above energies of 10 tev in the initial phase a cell of 3 to 5 modestsized telescopes each with 1030 m2 mirror area is suggested for an australian site a possible expansion of the array could comprise many such cells here we present work on configuration and technical issues from our simulation studies of the array working topics include array layout telescope size and optics camera field of view telescope trigger system electronics and site surveys
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710.2936
Optimal design problems in rough inhomogeneous media. Existence theory
This paper settles the existence question for a rather general class of convex optimal design problems with a volume constraint. In low dimensions, we prove the existence of an optimal configuration for general convex minimization problems ruled by bounded measurable degenerate elliptic operators. Under a mild continuity assumption on the medium, the free boundary is proven to enjoy the appropriate weak geometry and we establish the existence of an optimal design for general convex optimal design problems with volume constraints for all dimensions.
math.AP
this paper settles the existence question for a rather general class of convex optimal design problems with a volume constraint in low dimensions we prove the existence of an optimal configuration for general convex minimization problems ruled by bounded measurable degenerate elliptic operators under a mild continuity assumption on the medium the free boundary is proven to enjoy the appropriate weak geometry and we establish the existence of an optimal design for general convex optimal design problems with volume constraints for all dimensions
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710.2937
A Search for SS Cyg Outburst Predictors
We report null results on a two year photometric search for outburst predictors in SS Cyg. Observations in Johnson V and Cousins I were obtained almost daily for multiple hours per night for two observing seasons. The accumulated data are put through various statistical and visual analysis techniques but fails to detect any outburst predictors. However, analysis of 102 years of AAVSO archival visual data led to the detection of a correlation between a long term quasi-periodic feature at around 1,000-2,000 days in length and an increase in outburst rate.
astro-ph
we report null results on a two year photometric search for outburst predictors in ss cyg observations in johnson v and cousins i were obtained almost daily for multiple hours per night for two observing seasons the accumulated data are put through various statistical and visual analysis techniques but fails to detect any outburst predictors however analysis of 102 years of aavso archival visual data led to the detection of a correlation between a long term quasiperiodic feature at around 10002000 days in length and an increase in outburst rate
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710.2938
The R(S^1)-graded equivariant homotopy of THH(F_p)
The main result of this paper is the computation of TR^n_{\alpha}(F_p;p) for \alpha in R(S^1). These R(S^1)-graded TR-groups are the equivariant homotopy groups naturally associated to the S^1-spectrum THH(F_p), the topological Hochschild S^1-spectrum. This computation, which extends a partial result of Hesselholt and Madsen, provides the first example of the R(S^1)-graded TR-groups of a ring. These groups arise in algebraic K-theory computations, and are particularly important to the understanding of the algebraic K-theory of non-regular schemes.
math.AT math.KT
the main result of this paper is the computation of trn_alphaf_pp for alpha in rs1 these rs1graded trgroups are the equivariant homotopy groups naturally associated to the s1spectrum thhf_p the topological hochschild s1spectrum this computation which extends a partial result of hesselholt and madsen provides the first example of the rs1graded trgroups of a ring these groups arise in algebraic ktheory computations and are particularly important to the understanding of the algebraic ktheory of nonregular schemes
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710.2939
Uncovering individual and collective human dynamics from mobile phone records
Novel aspects of human dynamics and social interactions are investigated by means of mobile phone data. Using extensive phone records resolved in both time and space, we study the mean collective behavior at large scales and focus on the occurrence of anomalous events. We discuss how these spatiotemporal anomalies can be described using standard percolation theory tools. We also investigate patterns of calling activity at the individual level and show that the interevent time of consecutive calls is heavy-tailed. This finding, which has implications for dynamics of spreading phenomena in social networks, agrees with results previously reported on other human activities.
physics.soc-ph physics.data-an
novel aspects of human dynamics and social interactions are investigated by means of mobile phone data using extensive phone records resolved in both time and space we study the mean collective behavior at large scales and focus on the occurrence of anomalous events we discuss how these spatiotemporal anomalies can be described using standard percolation theory tools we also investigate patterns of calling activity at the individual level and show that the interevent time of consecutive calls is heavytailed this finding which has implications for dynamics of spreading phenomena in social networks agrees with results previously reported on other human activities
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710.294
Recent Advances in the Theory of Nuclear Forces and its Impact on Microscopic Nuclear Structure
The theory of nuclear forces has made great progress since the turn of the millenium using the framework of chiral effective field theory (ChEFT). The advantage of this approach, which was originally proposed by Weinberg, is that it has a firm basis in quantum-chromodynamics and allows for quantitative calculations. Moreover, this theory generates two-nucleon forces (2NF) and many-body forces on an equal footing and provides an explanation for the empirically known fact that 2NF >> 3NF >> 4NF. I will present the recent advances in more detail and put them into historical context. In addition, I will also provide a critical evaluation of the progress made including a discussion of the limitations of the ChEFT approach.
nucl-th
the theory of nuclear forces has made great progress since the turn of the millenium using the framework of chiral effective field theory cheft the advantage of this approach which was originally proposed by weinberg is that it has a firm basis in quantumchromodynamics and allows for quantitative calculations moreover this theory generates twonucleon forces 2nf and manybody forces on an equal footing and provides an explanation for the empirically known fact that 2nf 3nf 4nf i will present the recent advances in more detail and put them into historical context in addition i will also provide a critical evaluation of the progress made including a discussion of the limitations of the cheft approach
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710.2941
Why Is Supercritical Disk Accretion Feasible?
Although the occurrence of steady supercritical disk accretion onto a black hole has been speculated about since the 1970s, it has not been accurately verified so far. For the first time, we previously demonstrated it through two-dimensional, long-term radiation-hydrodynamic simulations. To clarify why this accretion is possible, we quantitatively investigate the dynamics of a simulated supercritical accretion flow with a mass accretion rate of ~10^2 L_E/c^2 (with L_E and c being, respectively, the Eddington luminosity and the speed of light). We confirm two important mechanisms underlying supercritical disk accretion flow, as previously claimed, one of which is the radiation anisotropy arising from the anisotropic density distribution of very optically thick material. We qualitatively show that despite a very large radiation energy density, E_0>10^2L_E/(4 pi r^2 c) (with r being the distance from the black hole), the radiative flux F_0 cE_0/tau could be small due to a large optical depth, typically tau 10^3, in the disk. Another mechanism is photon trapping, quantified by vE_0, where v is the flow velocity. With a large |v| and E_0, this term significantly reduces the radiative flux and even makes it negative (inward) at r<70r_S, where r_S is the Schwarzschild radius. Due to the combination of these effects, the radiative force in the direction along the disk plane is largely attenuated so that the gravitational force barely exceeds the sum of the radiative force and the centrifugal force. As a result, matter can slowly fall onto the central black hole mainly along the disk plane with velocity much less than the free-fall velocity, even though the disk luminosity exceeds the Eddington luminosity. Along the disk rotation axis, in contrast, the strong radiative force drives strong gas outflows.
astro-ph
although the occurrence of steady supercritical disk accretion onto a black hole has been speculated about since the 1970s it has not been accurately verified so far for the first time we previously demonstrated it through twodimensional longterm radiationhydrodynamic simulations to clarify why this accretion is possible we quantitatively investigate the dynamics of a simulated supercritical accretion flow with a mass accretion rate of 102 l_ec2 with l_e and c being respectively the eddington luminosity and the speed of light we confirm two important mechanisms underlying supercritical disk accretion flow as previously claimed one of which is the radiation anisotropy arising from the anisotropic density distribution of very optically thick material we qualitatively show that despite a very large radiation energy density e_0102l_e4 pi r2 c with r being the distance from the black hole the radiative flux f_0 ce_0tau could be small due to a large optical depth typically tau 103 in the disk another mechanism is photon trapping quantified by ve_0 where v is the flow velocity with a large v and e_0 this term significantly reduces the radiative flux and even makes it negative inward at r70r_s where r_s is the schwarzschild radius due to the combination of these effects the radiative force in the direction along the disk plane is largely attenuated so that the gravitational force barely exceeds the sum of the radiative force and the centrifugal force as a result matter can slowly fall onto the central black hole mainly along the disk plane with velocity much less than the freefall velocity even though the disk luminosity exceeds the eddington luminosity along the disk rotation axis in contrast the strong radiative force drives strong gas outflows
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710.2942
Rapidity gap survival in the black-disk regime
We summarize how the approach to the black--disk regime (BDR) of strong interactions at TeV energies influences rapidity gap survival in exclusive hard diffraction pp--> p + H + p (H =dijet, \bar Q Q, Higgs). Employing a recently developed partonic description of such processes, we discuss (a) the suppression of diffraction at small impact parameters by soft spectator interactions in the BDR; (b) further suppression by inelastic interactions of hard spectator partons in the BDR; (c) effects of correlations between hard and soft interactions, as suggested by various models of proton structure (color fluctuations, spatial correlations of partons). Hard spectator interactions in the BDR substantially reduce the rapidity gap survival probability at LHC energies compared to previously reported estimates.
hep-ph
we summarize how the approach to the blackdisk regime bdr of strong interactions at tev energies influences rapidity gap survival in exclusive hard diffraction pp p h p h dijet bar q q higgs employing a recently developed partonic description of such processes we discuss a the suppression of diffraction at small impact parameters by soft spectator interactions in the bdr b further suppression by inelastic interactions of hard spectator partons in the bdr c effects of correlations between hard and soft interactions as suggested by various models of proton structure color fluctuations spatial correlations of partons hard spectator interactions in the bdr substantially reduce the rapidity gap survival probability at lhc energies compared to previously reported estimates
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710.2943
Global quark polarization in non-central $A+A$ collisions
Partons produced in the early stage of non-central heavy-ion collisions can develop a longitudinal fluid shear because of unequal local number densities of participant target and projectile nucleons. Under such fluid shear, local parton pairs with non-vanishing impact parameter have finite local relative orbital angular momentum along the direction opposite to the reaction plane. Such finite relative orbital angular momentum among locally interacting quark pairs can lead to global quark polarization along the same direction due to spin-orbital coupling. Local longitudinal fluid shear is estimated within both Landau fireball and Bjorken scaling model of initial parton production. Quark polarization through quark-quark scatterings with the exchange of a thermal gluon is calculated beyond small-angle scattering approximation in a quark-gluon plasma. The polarization is shown to have a non-monotonic dependence on the local relative orbital angular momentum dictated by the interplay between electric and magnetic interaction. It peaks at a value of relative orbital angular momentum which scales with the magnetic mass of the exchanged gluons. With the estimated small longitudinal fluid shear in semi-peripheral $Au+Au$ collisions at the RHIC energy, the final quark polarization is found to be small $|P_q|<0.04$ in the weak coupling limit. Possible behavior of the quark polarization in the strong coupling limit and implications on the experimental detection of such global quark polarization at RHIC and LHC are also discussed.
nucl-th
partons produced in the early stage of noncentral heavyion collisions can develop a longitudinal fluid shear because of unequal local number densities of participant target and projectile nucleons under such fluid shear local parton pairs with nonvanishing impact parameter have finite local relative orbital angular momentum along the direction opposite to the reaction plane such finite relative orbital angular momentum among locally interacting quark pairs can lead to global quark polarization along the same direction due to spinorbital coupling local longitudinal fluid shear is estimated within both landau fireball and bjorken scaling model of initial parton production quark polarization through quarkquark scatterings with the exchange of a thermal gluon is calculated beyond smallangle scattering approximation in a quarkgluon plasma the polarization is shown to have a nonmonotonic dependence on the local relative orbital angular momentum dictated by the interplay between electric and magnetic interaction it peaks at a value of relative orbital angular momentum which scales with the magnetic mass of the exchanged gluons with the estimated small longitudinal fluid shear in semiperipheral auau collisions at the rhic energy the final quark polarization is found to be small p_q004 in the weak coupling limit possible behavior of the quark polarization in the strong coupling limit and implications on the experimental detection of such global quark polarization at rhic and lhc are also discussed
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710.2944
Gamow-Teller strength for the analog transitions to the first T=1/2, J^pi=3/2- states in 13C and 13N and the implications for Type Ia supernovae
The Gamow-Teller strength for the transition from the ground state of 13C to the T=1/2, J^pi=3/2- excited state at 3.51 MeV in 13N is extracted via the 13C(3He,t) reaction at 420 MeV. In contrast to results from earlier (p,n) studies on 13C, a good agreement with shell-model calculations and the empirical unit cross section systematics from other nuclei is found. The results are used to study the analog 13N(e-,v_e)13C reaction, which plays a role in the pre-explosion convective phase of type Ia supernovae. Although the differences between the results from the (3He,t) and (p,n) data significantly affect the deduced electron-capture rate and the net heat-deposition in the star due to this transition, the overall effect on the pre-explosive evolution is small.
nucl-ex
the gamowteller strength for the transition from the ground state of 13c to the t12 jpi32 excited state at 351 mev in 13n is extracted via the 13c3het reaction at 420 mev in contrast to results from earlier pn studies on 13c a good agreement with shellmodel calculations and the empirical unit cross section systematics from other nuclei is found the results are used to study the analog 13nev_e13c reaction which plays a role in the preexplosion convective phase of type ia supernovae although the differences between the results from the 3het and pn data significantly affect the deduced electroncapture rate and the net heatdeposition in the star due to this transition the overall effect on the preexplosive evolution is small
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710.2945
Resonances of 7He in the complex scaling method
We study the resonance spectroscopy of 7He in the 4He+n+n+n cluster model, where the motion of valence neutrons is described in the cluster orbital shell model. Many-body resonances are treated on the correct boundary condition as the Gamow states in the complex scaling method. We obtain five resonances and investigate their properties from the configurations. In particular, the 1/2- state is found in a low excitation energy of 1.1 MeV with a width of 2.2 MeV, while the experimental determination of the position of this state is not so clear. We also evaluate the spectroscopic factors of the 6He-n components in the obtained 7He resonances. The importance of the 6He(2+) state is shown in several states of 7He.
nucl-th
we study the resonance spectroscopy of 7he in the 4hennn cluster model where the motion of valence neutrons is described in the cluster orbital shell model manybody resonances are treated on the correct boundary condition as the gamow states in the complex scaling method we obtain five resonances and investigate their properties from the configurations in particular the 12 state is found in a low excitation energy of 11 mev with a width of 22 mev while the experimental determination of the position of this state is not so clear we also evaluate the spectroscopic factors of the 6hen components in the obtained 7he resonances the importance of the 6he2 state is shown in several states of 7he
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710.2946
An universal algorithm of calculating terms of atomic many-body perturbation theory
An algorithm, based on numerical description of the terms of many-body perturbation theory (Goldstone diagrams), is presented. The algorithm allows the use of the same piece of computer code to evaluate any particular diagram in any specific order of the perturbation theory or to calculate similar terms in other areas of the many-body theory, like e.g. terms in the coupled-cluster equations. The use of the algorithm is illustrated by calculating the second and third order correlation corrections to the removal energies of electrons from the ground state of sodium, copper and gallium and by calculating the hyperfine structure constants of sodium in the linearized single-double coupled cluster approximation.
physics.atom-ph physics.comp-ph
an algorithm based on numerical description of the terms of manybody perturbation theory goldstone diagrams is presented the algorithm allows the use of the same piece of computer code to evaluate any particular diagram in any specific order of the perturbation theory or to calculate similar terms in other areas of the manybody theory like eg terms in the coupledcluster equations the use of the algorithm is illustrated by calculating the second and third order correlation corrections to the removal energies of electrons from the ground state of sodium copper and gallium and by calculating the hyperfine structure constants of sodium in the linearized singledouble coupled cluster approximation
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710.2947
Average Path Length in Complex Networks: Patterns and Predictions
A simple and accurate relationship is demonstrated that links the average shortest path, nodes, and edges in a complex network. This relationship takes advantage of the concept of link density and shows a large improvement in fitting networks of all scales over the typical random graph model. The relationships herein can allow researchers to better predict the shortest path of networks of almost any size.
physics.soc-ph
a simple and accurate relationship is demonstrated that links the average shortest path nodes and edges in a complex network this relationship takes advantage of the concept of link density and shows a large improvement in fitting networks of all scales over the typical random graph model the relationships herein can allow researchers to better predict the shortest path of networks of almost any size
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710.2948
Spectral Properties of Quarks in the Quark-Gluon Plasma
We analyze the spectral properties of the quark propagator above the critical temperature for the deconfinement phase transition in quenched lattice QCD using clover improved Wilson fermions. The bare quark mass dependence of the quark spectral function is analyzed by varying the hopping parameter \kappa in Landau gauge. We assume a two-pole structure for the quark spectral function, which is numerically found to work quite well for any value of \kappa. It is shown that in the chiral limit the quark spectral function has two collective modes that correspond to the normal and plasmino excitations, while it is dominated by a single-pole structure when the bare quark mass becomes large.
hep-lat hep-ph
we analyze the spectral properties of the quark propagator above the critical temperature for the deconfinement phase transition in quenched lattice qcd using clover improved wilson fermions the bare quark mass dependence of the quark spectral function is analyzed by varying the hopping parameter kappa in landau gauge we assume a twopole structure for the quark spectral function which is numerically found to work quite well for any value of kappa it is shown that in the chiral limit the quark spectral function has two collective modes that correspond to the normal and plasmino excitations while it is dominated by a singlepole structure when the bare quark mass becomes large
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710.2949
L-functions of Symmetric Products of the Kloosterman Sheaf over Z
The classical $n$-variable Kloosterman sums over the finite field ${\bf F}_p$ give rise to a lisse $\bar {\bf Q}_l$-sheaf ${\rm Kl}_{n+1}$ on ${\bf G}_{m, {\bf F}_p}={\bf P}^1_{{\bf F}_p}-\{0,\infty\}$, which we call the Kloosterman sheaf. Let $L_p({\bf G}_{m,{\bf F}_p}, {\rm Sym}^k{\rm Kl}_{n+1}, s)$ be the $L$-function of the $k$-fold symmetric product of ${\rm Kl}_{n+1}$. We construct an explicit virtual scheme $X$ of finite type over ${\rm Spec} {\bf Z}$ such that the $p$-Euler factor of the zeta function of $X$ coincides with $L_p({\bf G}_{m,{\bf F}_p}, {\rm Sym}^k{\rm Kl}_{n+1}, s)$. We also prove similar results for $\otimes^k {\rm Kl}_{n+1}$ and $\bigwedge^k {\rm Kl}_{n+1}$.
math.AG math.NT
the classical nvariable kloosterman sums over the finite field bf f_p give rise to a lisse bar bf q_lsheaf rm kl_n1 on bf g_m bf f_pbf p1_bf f_p0infty which we call the kloosterman sheaf let l_pbf g_mbf f_p rm symkrm kl_n1 s be the lfunction of the kfold symmetric product of rm kl_n1 we construct an explicit virtual scheme x of finite type over rm spec bf z such that the peuler factor of the zeta function of x coincides with l_pbf g_mbf f_p rm symkrm kl_n1 s we also prove similar results for otimesk rm kl_n1 and bigwedgek rm kl_n1
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710.295
Initial ideals of tangent cones to Schubert varieties in orthogonal Grassmannians
We compute the initial ideals, with respect to certain conveniently chosen term orders, of ideals of tangent cones at torus fixed points to Schubert varieties in orthogonal Grassmannians. The initial ideals turn out to be square-free monomial ideals and therefore Stanley-Reisner face rings of simplicial complexes. We describe these complexes. The maximal faces of these complexes encode certain sets of non-intersecting lattice paths.
math.CO math.AC math.AG
we compute the initial ideals with respect to certain conveniently chosen term orders of ideals of tangent cones at torus fixed points to schubert varieties in orthogonal grassmannians the initial ideals turn out to be squarefree monomial ideals and therefore stanleyreisner face rings of simplicial complexes we describe these complexes the maximal faces of these complexes encode certain sets of nonintersecting lattice paths
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710.2951
String Cosmology: A Review
We give an overview of the status of string cosmology. We explain the motivation for the subject, outline the main problems, and assess some of the proposed solutions. Our focus is on those aspects of cosmology that benefit from the structure of an ultraviolet-complete theory.
hep-th astro-ph hep-ph
we give an overview of the status of string cosmology we explain the motivation for the subject outline the main problems and assess some of the proposed solutions our focus is on those aspects of cosmology that benefit from the structure of an ultravioletcomplete theory
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710.2952
The "mean king's problem" with continuous variables
We present the solution to the "mean king's problem" in the continuous variable setting. We show that in this setting, the outcome of a randomly-selected projective measurement of any linear combination of the canonical variables x and p can be ascertained with arbitrary precision. Moreover, we show that the solution is in turn a solution to an associated "conjunctive" version of the problem, unique to continuous variables, where the inference task is to ascertain all the joint outcomes of a simultaneous measurement of any number of linear combinations of x and p.
quant-ph
we present the solution to the mean kings problem in the continuous variable setting we show that in this setting the outcome of a randomlyselected projective measurement of any linear combination of the canonical variables x and p can be ascertained with arbitrary precision moreover we show that the solution is in turn a solution to an associated conjunctive version of the problem unique to continuous variables where the inference task is to ascertain all the joint outcomes of a simultaneous measurement of any number of linear combinations of x and p
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