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nucl-th/9403019
Off-Shell NN Potential and Triton Binding Energy
The NONLOCAL Bonn-B potential predicts 8.0 MeV binding energy for the triton (in a charge-dependent 34-channel Faddeev calculation) which is about 0.4 MeV more than the predictions by LOCAL NN potentials. We pin down origin and size of the nonlocality in the Bonn potential, in analytic and numeric form. The nonlocality...
1994-03-31
2015-06-26
[ "nucl-th" ]
Y. Song and R. Machleidt (University of Idaho)
nucl-th/9403017
Ground-state Correlation Effects in Extended RPA Calculations
We study normalization problems associated with use of perturbatively correlated ground-states in extended RPA schemes in the context of a specific but typical example. The sensitivity of the results to the amount of $2p2h$ admixtures to the correlated ground state is also investigated in terms of a modification of the...
1994-03-28
2016-08-14
[ "nucl-th" ]
A. Mariano, F. Krmpoti\'c and A.F.R. de Toledo Piza
nucl-th/9403018
Double beta decay transition mechanism
After briefly reviewing $\beta \beta$ decay as a test of the neutrino mass, I examine the nuclear structure involved in this process. Simple formulas (\`{a} la Pad\'{e}) are designed for the transition amplitudes and the general behavior of $\beta \beta$ decay amplitudes in the quasiparticle random phase approximation ...
1994-03-28
2016-08-14
[ "nucl-th" ]
F. Krmpoti\'c
nucl-th/9403016
Shell model on a random gaussian basis
Pauli-projected random gaussians are used as a representation to solve the shell model equations. The elements of the representation are chosen by a variational procedure. This scheme is particularly suited to describe cluster formation and cluster decay in nuclei. It overcomes the basis-size problem of the ordinary sh...
1994-03-23
2009-09-25
[ "nucl-th" ]
K. Varga and R. J. Liotta
nucl-th/9403015
A quark-meson model for nuclear and neutron matter
An explicit quark model, based on a mean field description of non-overlapping nucleon bags bound by the self-consistent exchange of $\sigma$, $\omega$ and $\rho$ mesons, is used to investigate the properties of both nuclear and neutron matter. We establish a clear understanding of the relationship between this model, w...
1994-03-18
2010-02-17
[ "nucl-th" ]
K.Saito and A.W.Thomas
nucl-th/9403014
Mesons and the Structure of Nucleons
The role of mesons, particularly the pion, in the structure of nucleons is reviewed and investigated. Since quark-antiquark pairs are likely to ``transform" into mesons at large distances, mesons are expected to contribute to nucleon structure. Their effects on the Gottfried sum rule, on the strangeness content of the ...
1994-03-18
2016-11-03
[ "nucl-th", "hep-ph" ]
W. Koepf, E.M. Henley and M. Alberg
nucl-th/9403013
Threshold Two-Pion Photo- and Electroproduction: More neutrals than expected
We present an exploratory study of two pion photo-- and electroproduction off the nucleon in the threshold region. To calculate the pertinent amplitudes, we make use of heavy baryon chiral perturbation theory. We show that due to finite chiral loops the production cross section for final states with two neutral pions i...
1994-03-17
2009-10-28
[ "nucl-th", "hep-ph" ]
V. Bernard, N. Kaiser, Ulf-G. Mei{\ss}ner and A. Schmidt
nucl-th/9403012
The Balian-Br\'ezin Method in Relativistic Quantum Mechanics
The method suggested by Balian and Br\'ezin for treating angular momentum reduction in the Faddeev equations is shown to be applicable to the relativistic three-body problem.
1994-03-16
2009-10-28
[ "nucl-th", "hep-ph" ]
H.-C. Jean, G. L. Payne, and W. N. Polyzou
nucl-th/9403011
Antiproton-proton partial-wave analysis below 925 MeV/c
A partial-wave analysis of all antiproton-proton scattering data below 925 MeV/c antiproton laboratory momentum is presented. The method used is adapted from the Nijmegen phase-shift analyses of pp and np scattering data. The Nijmegen 1993 antiproton-proton database, consisting of 3646 antiproton-proton scattering data...
1994-03-13
2009-09-25
[ "nucl-th" ]
R. Timmermans, Th. A. Rijken, and J. J. de Swart (University of Nijmegen)
nucl-th/9403010
Quark-Gluon-Plasma Formation at SPS Energies?
By colliding ultrarelativistic ions, one achieves presently energy densities close to the critical value, concerning the formation of a quark-gluon-plasma. This indicates the importance of fluctuations and the necessity to go beyond the investigation of average events. Therefore, we introduce a percolation approach to ...
1994-03-10
2009-10-28
[ "nucl-th", "hep-ph" ]
K. Werner
nucl-th/9403007
New calculations of the PNC Matrix Element for the $J^{\pi}T$ 0$^{+}1,0^{-}1$ doublet in $^{14}$N
A new calculation of the predominantly isoscalar PNC matrix element between the $J^{\pi}T$ $0^{+}1,0^{-}1$ (E$_{x} \approx$ 8.7 MeV) states in $^{14}$N has been carried out in a (0+1+2+3+4)$\hbar \omega$ model space with the Warburton-Brown interaction. The magnitude of the PNC matrix element of 0.22 to 0.34 eV obtaine...
1994-03-08
2016-08-14
[ "nucl-th" ]
Mihai Horoi, G\"unther Clausnitzer, B. Alex Brown and Ernie K. Warburton
nucl-th/9403009
Nonperturbative aspects of the quark-photon vertex
The electromagnetic interaction with quarks is investigated through a relativistic, electromagnetic gauge-invariant treatment. Gluon dressing of the quark-photon vertex and the quark self-energy functions is described by the inhomogeneous Bethe-Salpeter equation in the ladder approximation and the Schwinger-Dyson equat...
1994-03-08
2009-09-25
[ "nucl-th" ]
Michael R. Frank
nucl-th/9403008
Scaling Law in Cluster Decay
A recently proposed scaling law for the decay time of alpha particles is generalized for cluster decay. It is shown that for the decay of even-even parents, $logT_{1/2}$ depends linearly on the scaling variable S=(Z$_{c}$Z$_{d})^{0.6}/\sqrt{Q_{c}}$ and on the square root of the reduced mass of cluster and daughter.
1994-03-08
2009-09-25
[ "nucl-th" ]
Mihai Horoi, B. Alex Brown and Aurel Sandulescu
nucl-th/9403006
Covariant Model for Dynamical Quark Confinement
Based on a recent manifestly covariant time-ordered approach to the relativistic many-body problem, the quark propagator is defined by a nonlinear Dyson--Schwinger-type integral equation, with a one-gluon loop. The resulting energy-dependent quark mass is such that the propagator is singularity-free for real energies, ...
1994-03-05
2009-10-28
[ "nucl-th" ]
Helmut Haberzettl
nucl-th/9403003
Nuclear Breathing Mode in the Relativistic Mean-Field Theory
The breathing-mode giant monopole resonance is studied within the framework of the relativistic mean-field (RMF) theory. Using a broad range of parameter sets, a systematic analysis of constrained incompressibility and excitation energy of isoscalar monopole states in finite nuclei is performed. A comparison is made wi...
1994-03-03
2009-10-28
[ "nucl-th" ]
M.V. Stoitsov, M.L. Cescato, P. Ring and M.M. Sharma (Physics Department, Technical University Munich, and Max Planck Institut of Astrophysics, Garching, Germany)
nucl-th/9403005
Do parton cascade model results approach chemical equilibrium?
This comment is withdrawn, as the figure on which it was based is inconsistent with other figures in the text and thus probably incorrect. Using the other figures, I find that the parton cascade model does approach chemical equilibrium correctly.
1994-03-03
2008-02-03
[ "nucl-th", "hep-ph" ]
David Seibert
nucl-th/9403004
Polarizing Stored Beams by Interaction with Polarized Electrons
A polarized, internal electron target gradually polarizes a proton beam in a storage ring. Here, we derive the spin-transfer cross section for $\vec e\,(p,\vec p\, )e$\ scattering. A recent measurement of the polarizing effect of a polarized atomic hydrogen target is explained when the effect of the atomic electrons is...
1994-03-03
2009-09-25
[ "nucl-th" ]
C.J. Horowitz and H.O. Meyer
nucl-th/9403002
BRST Treatment of the Bohr Collective Hamiltonian at High Spins
The BRST treatment of triaxial systems rotating at high spins is used to solve perturbatively the $\gamma$-independent Bohr collective hamiltonian.
1994-03-03
2009-10-28
[ "nucl-th" ]
J. P. Garrahan and D. R. Bes
nucl-th/9403001
Nucleon-Nucleon Correlations and Final State Interaction in Inclusive Quasi-Elastic Electron Scattering off Nuclei at x>1
Inclusive quasi-elastic electron scattering off nuclei is investigated at high momentum transfer (Q^2>1 (GeV/c)^2) and x>1 adopting a consistent treatment of nucleon-nucleon correlations in initial and final states. It is shown that in case of light as well as complex nuclei the inclusive cross section at 1.3<x<2 is do...
1994-03-02
2009-10-28
[ "nucl-th" ]
C. Ciofi degli Atti (1) and S. Simula (2) ((1)Department of Physics, University of Perugia and Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Via A. Pascoli, I- 06100 Perugia, Italy (2) Istituto Nazionale di Fisica Nucleare, Sezione Sanita', Viale Regina Elena 299, Roma, Italy)
nucl-th/9402031
Hard Gammas from Low-Energy Heavy-Ion Collisions
Single-particle radiative mechanism of $\gamma$ emission embedded into the pre-equilibrium exciton model is used to calculate the $\gamma$ emission from a decay of $^{160}$Er$^{*}$ created in two different ways. The initial stage of a reaction is described using momentum-space overlaps of colliding nuclei. We can repro...
1994-02-28
2007-05-23
[ "nucl-th" ]
E. Betak (Inst. Physics, 84228 Bratislava, Slovakia)
nucl-th/9402033
Comment on: "Transverse-Mass $M_\perp$ Dependence of Dilepton Emission from Preequilibrium and Quark-Gluon Plasma in High Energy Nucleus-Nucleus Collisions"
In a recent Letter, Geiger presents calculations of the dilepton emission from the early stage of ultrarelativistic heavy ion collisions using the parton cascade model (PCM). He shows that the $M_\perp$ scaling is not observed. In this Comment, we point out that this is largely due to a defect in the PCM.
1994-02-28
2009-10-28
[ "nucl-th", "hep-ph" ]
M. Asakawa
nucl-th/9402032
Coulomb plus Nuclear Scattering in Momentum Space for Coupled Angular-Momentum States
The Vincent--Phatak procedure for solving the momentum-space Schrodinger equation with combined Coulomb-plus-short-range potentials is extended to angular momentum states coupled by an optical potential---as occurs in spin 1/2 times 1/2 scattering. A generalization of the Blatt--Biedenharn phase shift parameterization ...
1994-02-28
2009-09-25
[ "nucl-th" ]
D. Lu, T. Mefford, G. Song, and R. H. Landau
nucl-th/9402029
Quantum Size Effects in Classical Hadrodynamics
We discuss future directions in the development of classical hadrodynamics for extended nucleons, corresponding to nucleons of finite size interacting with massive meson fields. This new theory provides a natural covariant microscopic approach to relativistic nucleus-nucleus collisions that includes automatically space...
1994-02-25
2008-02-03
[ "nucl-th" ]
J. Rayford Nix
nucl-th/9402030
Stochastic Methods for Quantum Scattering
Quantum scattering at zero energy is studied with stochastic methods. A path integral representation for the scattering cross section is developed. It is demonstrated that Monte Carlo simulation can be used to compare effective potentials which are frequently used in multiple scattering with the exact result.
1994-02-25
2007-05-23
[ "nucl-th" ]
Stefan Lenz
nucl-th/9402028
Anomalous Crossing Frequency in Odd Proton Nuclei
A generic explanation for the recently observed anomalous crossing frequencies in odd proton rare earth nuclei is given. As an example, the proton ${1\over 2} [541]$ band in $^{175}$Ta is discussed in detail by using the angular momentum projection theory. It is shown that the quadrupole pairing interaction is decisive...
1994-02-25
2009-09-25
[ "nucl-th" ]
Yang Sun, Shuxian Wen and Da Hsuan Feng
nucl-th/9402027
A Fully Isotopic Model of Fragmentation
A general model for the fragmentation of a two-component system (e.g. protons and neutrons) is proposed and solved exactly. The extension of this model to any number of components is also shown to be exactly solvable. A connection between this models and the permutation group is discussed. The notion of isotopic equiva...
1994-02-24
2008-11-26
[ "nucl-th" ]
K. C. Chase and A. Z. Mekjian
nucl-th/9402026
P,T-Violating Nuclear Matrix Elements in the One-Meson Exchange Approximation
Expressions for the P,T-violating NN potentials are derived for $\pi$, $\rho$ and $\omega$ exchange. The nuclear matrix elements for $\rho$ and $\omega$ exchange are shown to be greatly suppressed, so that, under the assumption of comparable coupling constants, $\pi$ exchange would dominate by two orders of magnitude. ...
1994-02-24
2008-11-26
[ "nucl-th" ]
I.S. Towner and A.C. Hayes
nucl-th/9402025
On the Momentum Dependence of the Nucleon - Nucleus Optical Potential
The momentum dependence of the mean-field contribution to the real part of the optical model potential is investigated employing realistic nucleon-nucleon interactions. Within a non-relativistic approach a momentum dependence originates from the non-locality of the Fock exchange term. Deducing the real part of the opti...
1994-02-23
2019-08-15
[ "nucl-th" ]
M.Kleinmann, R.Fritz, H.M\"uther, A.Ramos
nucl-th/9402024
Fission fragment orientation and gamma ray emission anisotropy
Experimental data on angular distributions of gamma rays emitted from binary and ternary spontaneous fission of $^{252}{\rm Cf}$ are analyzed. Their difference indicates that the alignment of fragments is higher in ternary fission than in binary one. The consequences of possible relation between the mechanism of ternar...
1994-02-22
2009-09-25
[ "nucl-th" ]
A.L.Barabanov
nucl-th/9402023
Role of the Low-Lying Isoscalar Dipole Modes in the Polarization Potential
An analysis of the real and imaginary part of the polarization potential in terms of the relative contributions of the single collective states for the $ ^{208}Pb + ^{208}Pb $ system has been done. The polarization potential has been calculated within the Feshbach formalism taking into account the collective states cal...
1994-02-21
2009-09-25
[ "nucl-th" ]
E. B. Balbutsev, A.V. Unzhakova, M. V. Andres, F. Catara and E. G. Lanza
nucl-th/9402022
Capture of Solar and Higher-Energy Neutrinos by Iodine 127
We discuss and improve a recent treatment of the absorption of solar neutrinos by ${}^{127}$I, in connection with a proposed solar neutrino detector. With standard-solar-model fluxes and an in-medium value of -1.0 for the axial-vector coupling constant $g_A$, we obtain a ${}^8$B-neutrino cross section of 3.3$\times 10^...
1994-02-17
2009-09-25
[ "nucl-th" ]
J. Engel, S. Pittel, and P. Vogel
nucl-th/9402021
Hadron widths in mixed-phase matter
We derive classically an expression for a hadron width in a two-phase region of hadron gas and quark-gluon plasma (QGP). The presence of QGP gives hadrons larger widths than they would have in a pure hadron gas. We find that the $\phi$ width observed in a central Au+Au collision at $\sqrt{s}=200$ GeV/nucleon is a few M...
1994-02-15
2008-11-26
[ "nucl-th", "hep-ph" ]
David Seibert and Che Ming Ko
nucl-th/9402020
Microscopic multicluster description of the neutron-rich helium isotopes
The neutron halo structure of $^{6}$He and of $^{8}$He is studied in a microscopic three-body and five-body model, respectively. Various cluster arrangements are included to embody a variety of correlations between the clusters. The intercluster wave function is determined with the stochastic variational method. The $^...
1994-02-15
2008-11-26
[ "nucl-th" ]
K. Varga, Y. Suzuki and Y. Ohbayasi
nucl-th/9402017
Fragmentation model and quark/hadron system
Nuclear multifragmentation process can be viewed as a recombination of nucleons into clusters of various sizes. In a combinatorial analysis, various moments of cluster size distribution appear to be quite simple in terms of canonical partition functions. This simple model can also describe a branching phenomena and a c...
1994-02-10
2007-05-23
[ "nucl-th", "hep-ph" ]
Suk-Joon Lee
nucl-th/9402019
On the Lorentz structure of the confinement potential
We investigate the Lorentz structure of the confinement potential through a study of the meson spectrum using Salpeter's instantaneous approximation to the Bethe-Salpeter equation. The equivalence between Salpeter's and a random-phase-approximation (RPA) equation enables one to employ the same techniques developed by T...
1994-02-10
2009-10-28
[ "nucl-th", "hep-ph" ]
J. Parramore and J. Piekarewicz
nucl-th/9402018
Hydrodynamical assessment of 200 AGeV collisions
We are analyzing the hydrodynamics of 200 A GeV S+S collisions using a new approach which tries to quantify the uncertainties arising from the specific implementation of the hydrodynamical model. Based on a previous phenomenological analysis we use the global hydrodynamics model to show that the amount of initial flow,...
1994-02-10
2008-11-26
[ "nucl-th", "hep-ph" ]
Ekkard Schnedermann and Ulrich Heinz
nucl-th/9402016
Theoretical Interpretation of the NE18 Experiment on Nuclear Transparency in A(e,e'p) Scattering
The spectral function, measured in $A(e,e'p)$ reactions, is distorted by the final-state interaction of the struck proton with the residual nucleus. This causes a broadening of the observed transverse-momentum distribution which is large even in the $d(e,e'p)$ reaction. We discuss the effects of this $p_{\perp}$-broade...
1994-02-09
2014-11-18
[ "nucl-th" ]
N.N.Nikolaev, A.Szczurek, J.Speth, J.Wambach, B.G.Zakharov and V.R.Zoller
nucl-th/9402015
Shadowing, Binding and Off-Shell Effects in Nuclear Deep Inelastic Scattering
We present a unified description of nuclear deep inelastic scattering (DIS) over the whole region $0<x<1$ of the Bjorken variable. Our approach is based on a relativistically covariant formalism which uses analytical properties of quark correlators. In the laboratory frame it naturally incorporates two mechanisms of DI...
1994-02-09
2009-09-25
[ "nucl-th", "hep-ph" ]
S. A. Kulagin, G. Piller and W. Weise
nucl-th/9402014
Meson Condensation in Dense Matter Revisited
The results for meson condensation in the literature vary markedly depending on whether one uses chiral perturbation theory or the current-algebra-plus-PCAC approach. To elucidate the origin of this discrepancy, we re-examine the role of the sigma-term in meson condensation. We find that the resolution of the existing ...
1994-02-08
2009-10-28
[ "nucl-th" ]
Hiroyuki Yabu, F. Myhrer, and K. Kubodera
nucl-th/9402010
Covariant three-body equations in phi^3 field theory
We derive four-dimensional relativistic three-body equations for the case of a field theory with a three-point interaction vertex. These equations describe the coupled 2->2, 2->3, and 3->3 processes, and provide the means of calculating the kernel of the 2->2 Bethe-Salpeter equation. Our equations differ from all previ...
1994-02-04
2009-10-28
[ "nucl-th", "hep-th" ]
A. N. Kvinikhidze and B. Blankleider
nucl-th/9402012
Algebraic models of hadron structure: I. Nonstrange baryons
We introduce an algebraic framework for the description of baryons. Within this framework we study a collective string-like model and show that this model gives a good overall description of the presently available data. We discuss in particular masses and electromagnetic couplings, including the transition form factor...
1994-02-04
2011-07-19
[ "nucl-th", "hep-ph" ]
R. Bijker, F. Iachello and A. Leviatan
nucl-th/9402013
Pseudo SU(3) Model and Abnormal Parity States
The most important features of the pseudo SU(3) model are reviewed. This description of heavy deformed nuclei is based on pseudo spin symmetry, and is able to correctly predict the collective spectra and their transition amplitudes, using appropriate effective charges. It also gives a very good description of the exoti...
1994-02-04
2007-05-23
[ "nucl-th" ]
Jorge G. Hirsch, Octavio Casta\~nos and Peter O. Hess
nucl-th/9402011
Convolution approach to the piNN system
The unitary NN-piNN model contains a serious theoretical flaw: unitarity is obtained at the price of having to use an effective piNN coupling constant that is smaller than the experimental one. This is but one aspect of a more general renormalization problem whose origin lies in the truncation of Hilbert space used to ...
1994-02-04
2011-04-15
[ "nucl-th" ]
B. Blankleider and A. N. Kvinikhidze
nucl-th/9402009
Systematics of Gamow-Teller strengths in mid-fp-shell nuclei
We show that the presently available data on the Gamow-Teller (GT) strength in mid-fp-shell nuclei are proportional to the product of the numbers of valence protons and neutron holes in the full fp-shell. This observation leads to important insights into the mechanism for GT quenching and to a simple parametrization of...
1994-02-03
2009-10-28
[ "nucl-th" ]
S. E. Koonin and K. Langanke
nucl-th/9402007
The y-scaling in the Delta-region
A scaling variable for electron scattering off nuclei in the Delta-region is shown to exist. A scaling law for a large variety of scattering data with different kinematics is found. This property turns out to be very sensitive to the reaction mechanism. We will show that this outcome follows from drastic medium induced...
1994-02-03
2009-10-28
[ "nucl-th" ]
R. Cenni and P. Saracco (INFN sez. Genova, Italy)
nucl-th/9402006
Complete 0 hbar omega calculations of Gamow-Teller strengths for nuclei in the iron region
Gamow-Teller strengths for selected nuclei in the iron region (A~56) have been investigated via shell-model Monte Carlo calculations with realistic interactions in the complete fp basis. Results for all cases show significant quenching relative to single-particle estimates, in quantitative agreement with (n,p) data. Th...
1994-02-03
2009-09-25
[ "nucl-th" ]
D. J. Dean, P. B. Radha, K. Langanke, Y. Alhassid, S. E. Koonin, and W. E. Ormand
nucl-th/9402008
The Nucleon-Nucleon Potential in the Chromo-Dielectric Soliton Model: Statics
We study the N-N interaction in the framework of the chromo-dielectric soliton model. Here, the long-range parts of the nonabelian gluon self-interactions are assumed to give rise to a color-dielectric function which is parameterized in terms of an effective scalar background field. The six-quark system is confined in ...
1994-02-03
2008-11-26
[ "nucl-th" ]
W. Koepf, L. Wilets, S. Pepin and Fl. Stancu
nucl-th/9402003
The E2 contribution to the 8B -> p + 7Be Coulomb dissociation cross section
We have calculated the E1 and E2 contributions to the low-energy B-8 + Pb-208 -> p + Be-7 + Pb-208 Coulomb dissociation cross sections using the kinematics of a recent experiment at RIKEN. Using a potential model description of the Be-7 (p,gamma) B-8 reaction, we find that the E2 contributions cannot a priori be ignore...
1994-02-02
2014-11-18
[ "nucl-th" ]
K. Langanke and T. D. Shoppa
nucl-th/9402004
The inverse Laplace transform as the ultimate tool for transverse mass spectra
New high statistics data from the second generation of ultrarelativistic heavy-ion experiments open up new possibilities in terms of data analysis. To fully utilize the potential we propose to analyze the $m_\perp$-spectra of hadrons using the inverse Laplace transform. The problems with its inherent ill-definedness ca...
1994-02-02
2009-10-28
[ "nucl-th" ]
Ekkard Schnedermann
nucl-th/9402002
Antisymmetrization of a Mean Field Calculation of the T-Matrix
The usual definition of the prior(post) interaction $V(V^\prime )$ between projectile and target (resp. ejectile and residual target) being contradictory with full antisymmetrization between nucleons, an explicit antisymmetrization projector ${\cal A}$ must be included in the definition of the transition operator, $ T\...
1994-02-02
2015-06-26
[ "nucl-th" ]
A.Wierling, B.G.Giraud, F.Mekideche, H.Horiuchi, T.Maruyama, A.Ohnishi, J.C.Lemm, A.Weiguny
nucl-th/9402005
Can the $\Sigma^- nn$ System be Bound?
Motivated by the $\Sigma$-hypernuclear states reported in ($K^-,\pi^{\pm}$) experiments, we have explored the possibility that there exists a particle-stable $\Sigma^- nn$ bound state. For the J\"ulich \~A hyperon-nucleon, realistic-force model, our calculations yield little reason to expect a positive-parity bound sta...
1994-02-02
2009-09-25
[ "nucl-th" ]
A. Stadler and B. F. Gibson
nucl-th/9402001
Suppression of Hadroproduction in Nuclei
We argue that nuclei are not transparent for fast projectile partons. Color transparency is effective for final state interactions in heavy particle production, though nuclear filtering of initial partons can reduce the cross sections. We show that short-ranged initial state interactions, which have been neglected so f...
1994-02-01
2009-10-28
[ "nucl-th" ]
S.V.Akulinichev
nucl-th/9401021
Nuclear Anapole Moments in Single Particle Approximation
Nuclear anapole moments of $\;^{133}$Cs, $\;^{203,205}$Tl, $\;^{207}$Pb, $\;^{209}$Bi are treated in the single-particle approximation. Analytical results are obtained for the oscillator potential without spin-orbit interaction. Then the anapole moments are calculated numerically in a Woods-Saxon potential which includ...
1994-01-31
2009-10-28
[ "nucl-th" ]
V.F.Dmitriev, I.B. Khriplovich and V.B. Telitsin
nucl-th/9401020
Power Moments and Scaling Properties of Nuclear Emulsion Data
Various features of the charge yield in heavy ion collisions are studied. Considered here are the nuclear emulsion data of $^{84}$Kr, $^{131}$Xe, $^{197}$Au, $^{238}$U in the energy range of 1 GeV/A. Mean charge yields and multiplicity distribution of these data indicate that the nuclear fragmentation at this energy is...
1994-01-24
2008-11-26
[ "nucl-th", "hep-ph" ]
S.J.Lee and A.Z. Mekjian
nucl-th/9401019
Novel soft-photon analysis of $pp\gamma$ below pion-production threshold
A novel soft-photon amplitude is proposed to replace the conventional Low soft-photon amplitude for nucleon-nucleon bremsstrahlung. Its derivation is guided by the standard meson-exchange model of the nucleon-nucleon interaction. This new amplitude provides a superior description of $pp\gamma$ data. The predictions of ...
1994-01-24
2009-10-28
[ "nucl-th" ]
M.K. Liou, R.Timmermans, and B.F. Gibson
nucl-th/9401018
QCD Evolution by Finite Element Methods
A simple, new method for solving for the $Q^2$ evolution of parton distributions in perturbative QCD using cubic splines is described and applied to the evolution of nonsinglet quark distributions.
1994-01-21
2014-11-18
[ "nucl-th", "hep-ph" ]
C.J. Benesh
nucl-th/9401017
Electroproductions of Light $\Lambda$- and $\Sigma$-Hypernuclei
Theoretical estimations of production cross sections of light $\Lambda$ and $\Sigma$ hypernuclei in $(e,e'K^{+})$ reactions at around CEBAF energies are given. Because of dominant spin-flip amplitudes and large momentum transfers, unnatural parity states and stretched states of hypernuclei are favorably excited. They a...
1994-01-20
2009-10-28
[ "nucl-th" ]
Shoji Shinmura
nucl-th/9401016
Seeing the QCD phase transition with phi mesons
A double phi peak structure in the dilepton invariant mass spectrum from ultrarelativistic heavy ion collisions is proposed as a signal for the phase transition from the quark-gluon plasma to the hadronic matter. The low mass phi peak results from the decay of phi mesons with reduced in-medium mass during the transitio...
1994-01-20
2009-10-28
[ "nucl-th", "hep-ph" ]
M. Asakawa and C. M. Ko
nucl-th/9401014
Meson Photo- and Electroproduction
Photo- and electroproduction of pions and eta-mesons is studied on the nucleon. The formalism of such reactions is presented including polarization degrees of freedom and theoretical approaches are discussed. In particular, the threshold and $\Delta$-resonance region of pion photoproduction is considered and recent dev...
1994-01-19
2007-05-23
[ "nucl-th" ]
Lothar Tiator
nucl-th/9401015
Simple Formula for Nuclear Charge Radius
A new formula for the nuclear charge radius is proposed, dependent on the mass number (A) and neutron excess (N-Z) in the nucleus. It is simple and it reproduces all the experimentally available mean square radii and their isotopic shifts of even--even nuclei much better than other frequently used relations.
1994-01-19
2015-06-26
[ "nucl-th" ]
B. Nerlo-Pomorska and K. Pomorski (The Maria Curie-Sklodowska University, Lublin, Poland)
nucl-th/9401012
Correlation Dynamics of Green's Functions
We generalize the methods used in the theory of correlation dynamics and establish a set of equations of motion for many-body correlation green's functions in the non-relativistic case. These non-linear and coupled equations of motion describe the dynamical evolution of correlation green's functions of different order ...
1994-01-17
2015-06-26
[ "nucl-th" ]
Shun-Jin Wang, Wei Zuo, and Wolfgang Cassing
nucl-th/9401011
Role of the $a_1$ meson in dilepton production from hot hadronic matter
Dilepton production from hot hadronic matter is studied in an effective chiral Lagrangian with pions, $\rho$-mesons, and $a_1$ mesons, We find that the production rates from reactions that involve axial-vector mesons dominate over contributions from all other reactions when the dilepton invariant mass is above 1.5 GeV.
1994-01-14
2009-12-30
[ "nucl-th", "hep-ph" ]
Chungsik Song, Che Ming Ko and Charles Gale
nucl-th/9401013
On the energy-shell contributions of the three-particle~-~ three-hole excitations
The response functions for the extended second and third random phase approximation are compared. A second order perturbation calculation shows that the first-order amplitude for the direct $3p3h$ excitation from the ground state cancels with those that are engendered by the $1p1h$-$3p3h$ coupling. As a consequence non...
1994-01-14
2016-08-14
[ "nucl-th" ]
A. Mariano, F. Krmpoti\'c and A.F.R. de Toledo Piza
nucl-th/9401009
Relativistic Coulomb Sum Rules for $(e,e^\prime)$
A Coulomb sum rule is derived for the response of nuclei to $(e,e^\prime)$ scattering with large three-momentum transfers. Unlike the nonrelativistic formulation, the relativistic Coulomb sum is restricted to spacelike four-momenta for the most direct connection with experiments; an immediate consequence is that excita...
1994-01-14
2009-09-25
[ "nucl-th" ]
T.C. Ferr\'ee and D.S. Koltun (Department of Physics and Astronomy, University of Rochester, Rochester, NY)
nucl-th/9401010
Missing and Quenched Gamow Teller Strength
Gamow-Teller strength functions in full $(pf)^{8}$ spaces are calculated with sufficient accuracy to ensure that all the states in the resonance region have been populated. Many of the resulting peaks are weak enough to become unobservable. The quenching factor necessary to bring into agreement the low lying observed s...
1994-01-14
2009-01-23
[ "nucl-th" ]
E. Caurier, A. Poves and A. P. Zuker
nucl-th/9401008
Analysis of Subthreshold Antiproton Production in p-Nucleus and Nucleus-Nucleus Collisions in the RBUU Approach
We calculate the subthreshold production of antiprotons in the Lorentz-covariant RBUU approach employing a weighted testparticle method to treat the antiproton propagation and absorption nonperturbatively. We find that the pbar differential cross sections are highly sensitive to the baryon and antiproton selfenergies i...
1994-01-13
2009-09-25
[ "nucl-th" ]
Stefan Teis, Wolfgang Cassing, Tomoyuki Maruyama and Ulrich Mosel (Institut fuer Theoretische Physik, Universitaet Giessen, Giessen, Germany)
nucl-th/9401007
Resistance to Collapse: The Tensor Interaction
We consider negative-parity excitations in $^4\mbox{He}$, $J^{\pi}$=$0^-$ and $1^-$ with isospin $T$=$0$ and $T$=$1$. We show tha t, in contrast to one-particle one-hole results, in a shell model diagonalization none of the above collapses to zero energy as the strength of the tensor interaction is increased.
1994-01-12
2009-09-25
[ "nucl-th" ]
M. S. Fayache and L. Zamick
nucl-th/9401006
Dilepton Production in Nucleon-Nucleon Interactions
Starting from a realistic one--boson--exchange--model fitted to the amplitudes of elastic nucleon--nucleon scattering and the process $NN\rightarrow N\Delta$ we perform a fully relativistic and gauge invariant calculation for the dilepton production in nucleon--nucleon collisions, including the important effect of prop...
1994-01-12
2009-10-28
[ "nucl-th" ]
M. Sch\"afer, H. C. D\"onges, A. Engel, U. Mosel (Institut f\"ur Theoretische Physik, Universit\"at Giessen Giessen, Germany)
nucl-th/9401005
Three-body resonances in He-6, Li-6, and Be-6, and the soft dipole mode problem of neutron halo nuclei
Using the complex scaling method, the low-lying three-body resonances of $^6$He, $^6$Li, and $^6$Be are investigated in a parameter-free microscopic three-cluster model. In $^6$He a 2$^+$, in $^6$Li a 2$^+$ and a 1$^+$, and in $^6$Be the 0$^+$ ground state and a 2$^+$ excited state is found. The other experimentally kn...
1994-01-11
2009-09-25
[ "nucl-th" ]
Attila Csoto
nucl-th/9401004
Baryon-Baryon Interactions
After a short survey of some topics of interest in the study of baryon-baryon scattering, the recent Nijmegen energy dependent partial wave analysis (PWA) of the nucleon-nucleon data is reviewed. In this PWA the energy range for both pp and np is now 0 < Tlab < 350 MeV and a chi^2_{d.o.f.}=1.08 was reached. The implica...
1994-01-10
2009-09-25
[ "nucl-th" ]
Th.A. Rijken
nucl-th/9401003
Properties of the phi meson at finite temperature
We calculate the $\phi$-meson propagator at finite temperature at the one--loop order. The real and imaginary parts are studied separately in full kinematic ranges. From this activity we investigate how temperature affects such things as decay widths and dispersion relations. {}From here we estimate the thermal rate of...
1994-01-06
2009-10-28
[ "nucl-th", "hep-ph" ]
Kevin L. Haglin and Charles Gale
nucl-th/9401002
Searching for Color Coherent Effects at Intermediate $Q^2$ via Double Scattering Processes
We propose that measuring the $Q^2$ dependence of the number of final-state interactions of the recoil protons in quasi-elastic electron scattering from light nuclei is a new method to investigate Color Coherent effects at {\bf intermediate} values of $Q^2$ ({$\sim$ few $(GeV/c)^2$}). This is instead of measuring event...
1994-01-05
2009-10-28
[ "nucl-th" ]
K. Egiyan, L. Frankfurt, W.R. Greenberg, G.A. Miller, M. Sargsyan and M. Strikman
nucl-th/9401001
Relativistically generated asymmetry in the missing momentum distribution from the $(e,e'p)$ reaction
We calculate the asymmetry in the missing-momentum distribution from the $(e,e'p)$ reaction in a relativistic formalism. Longitudinal and transverse response functions are evaluated in parallel kinematics as a function of the three-momentum transfer to the nucleus. Analytic expressions for the responses are obtained in...
1994-01-04
2009-09-25
[ "nucl-th", "hep-ph" ]
S. Gardner and J. Piekarewicz
patt-sol/9412003
Periodicity of cylindrical linear cellular automata
Periodicity and relaxation are investigated for the trajectories of the states in cylindrical linear cellular automata. The time evolutions are described with matrices. The eigenvalue analysis is applied to obtain the maximum values of period and relaxation. The translational invariance suppresses the maximum period an...
1994-12-15
2008-02-03
[ "patt-sol", "nlin.PS" ]
Shin-ichi Tadaki
patt-sol/9412002
The Swift-Hohenberg Equation Requires Non-Local Modifications to Model Spatial Pattern Evolution of Physical Problems
I argue that ``good'' mathematical models of spatio-temporal dynamics in two-dimensions require non-local operators in the nonlinear terms. Consequently, the often used Swift-Hohenberg equation requires modification as it is purely local. My aim here is to provoke more critical examination of the rationale for using th...
1994-12-09
2008-02-03
[ "patt-sol", "nlin.PS" ]
A.J. Roberts (University of Southern Queensland)
patt-sol/9412001
Observation of Conservations Laws in Diffusion Limited Aggregation
We repeat the numerical experiments for diffusion limited aggregation (DLA) and show that there is a potentially infinite set of conserved quantities for the long time asymptotics. We connect these observations with the exact integrability of the continuum limit of the DLA (quasi-static Stefan problem). The conserved q...
1994-12-06
2009-10-28
[ "patt-sol", "nlin.PS" ]
Mark B. Mineev-Weinstein and Ronnie Mainieri (Center for Nonlinear Studies)
patt-sol/9411003
Defect Dynamics for Spiral Chaos in Rayleigh-Benard Convection
A theory of the novel spiral chaos state recently observed in Rayleigh-Benard convection is proposed in terms of the importance of invasive defects i.e defects that through their intrinsic dynamics expand to take over the system. The motion of the spiral defects is shown to be dominated by wave vector frustration, rath...
1994-12-01
2009-10-28
[ "patt-sol", "chao-dyn", "nlin.CD", "nlin.PS" ]
M.C. Cross and Yuhai Tu (California Institute of Technology)
patt-sol/9411002
On the validity of mean-field amplitude equations for counterpropagating wavetrains
We rigorously establish the validity of the equations describing the evolution of one-dimensional long wavelength modulations of counterpropagating wavetrains for a hyperbolic model equation, namely the sine-Gordon equation. We consider both periodic amplitude functions and localized wavepackets. For the localized case...
1994-11-29
2009-10-28
[ "patt-sol", "nlin.PS" ]
R.D. Pierce (Dept. of Math., Pennsylvania State University), C. E. Wayne (Dept. of Math., Pennsylvania State University)
patt-sol/9411001
Front propagation into unstable and metastable states in Smectic C* liquid crystals: linear and nonlinear marginal stability analysis
We discuss the front propagation in ferroelectric chiral smectics (SmC*) subjected to electric and magnetic fields applied parallel to smectic layers. The reversal of the electric field induces the motion of domain walls or fronts that propagate into either an unstable or a metastable state. In both regimes, the front ...
1994-11-16
2009-10-28
[ "patt-sol", "cond-mat", "nlin.PS" ]
Wim van Saarloos (1), Martin van Hecke (1) and Robert Holyst (2) ((1) Institute Lorentz, Leiden University, 2300 RA Leiden, The Netherlands (2) Institute of Physical Chemistry of the Polish Academy of Sciences, Dept. III, Kasprzaka 44/52, 01224 Warsaw, Poland)
patt-sol/9410001
A Variational Principle for the Asymptotic Speed of Fronts of the Density Dependent Diffusion--Reaction Equation
We show that the minimal speed for the existence of monotonic fronts of the equation $u_t = (u^m)_{xx} + f(u)$ with $f(0) = f(1) = 0$, $m >1$ and $f>0$ in $(0,1)$ derives from a variational principle. The variational principle allows to calculate, in principle, the exact speed for arbitrary $f$. The case $m=1$ when $f'...
1994-10-27
2009-10-28
[ "patt-sol", "nlin.PS" ]
R. D. Benguria and M. C. Depassier (Facultad de Fisica, U. Catolica de Chile, Santiago, Chile)
patt-sol/9409005
Bipolar Electrodiffusion model for Electroconvection in Nematics
The common description of the electrical behavior of a nematic liquid crystal as an anisotropic dielectric medium with (weak) ohmic conductivity is extended to an electrodiffusion model with two active ionic species. Under appropriate, but rather general conditions the additional effects can lead to a distinctive chang...
1994-09-23
2008-02-03
[ "patt-sol", "nlin.PS" ]
Martin Treiber and Lorenz Kramer (Physikalisches Institut, Universitaet Bayreuth, Postfach 101251, D-95440 Bayreuth, Germany)
patt-sol/9409004
Jam phases in two-dimensional cellular automata model of traffic flow
The jam phases in a two-dimensional cellular automata model of traffic flow are investigated by computer simulations. Two different types of the jam phases are found. The spatially diagonal long-range correlation obeys the power law at the low-density jam configurations. The diagonal correlation exponentially decays at...
1994-09-22
2009-10-28
[ "patt-sol", "nlin.PS" ]
Shin-ichi Tadaki and Macoto Kikuchi
patt-sol/9409002
Hole Solutions in the 1d Complex Ginzburg-Landau Equation
The cubic Complex Ginzburg-Landau Equation (CGLE) has a one parameter family of traveling localized source solutions. These so called 'Nozaki-Bekki holes' are (dynamically) stable in some parameter range, but always structually unstable: A perturbation of the equation in general leads to a (positive or negative) monoto...
1994-09-17
2015-06-26
[ "patt-sol", "nlin.PS" ]
Stefan Popp (1), Olaf Stiller (1), Igor Aranson (2) and Lorenz Kramer (1) ((1) Physikalisches Institut der Universitaet Bayreuth D-95440 Bayreuth, Germany (2) Department of Physics, Bar-Ilan University, Ramat Gan 52900, Israel)
patt-sol/9409003
From the defocusing nonlinear Schroedinger to the complex Ginzburg-Landau equation
Perturbation approaches developed so far for the dark soliton solutions of the (fully integrable) defocusing nonlinear Schroedinger equation cannot describe the dynamics resulting from dissipative perturbations of the Ginzburg-Landau type. Here spatially slowly decaying changes of the background wavenumber occur which ...
1994-09-17
2015-06-26
[ "patt-sol", "nlin.PS" ]
Olaf Stiller, Stefan Popp and Lorenz Kramer (Physikalisches Institut der Universitaet Bayreuth D-95440 Bayreuth, Germany)
patt-sol/9409001
Bound Pairs of Fronts in a Real Ginzburg-Landau Equation Coupled to a Mean Field
Motivated by the observation of localized traveling-wave states (`pulses') in convection in binary liquid mixtures, the interaction of fronts is investigated in a real Ginzburg-Landau equation which is coupled to a mean field. In that system the Ginzburg-Landau equation describes the traveling-wave amplitude and the me...
1994-09-06
2015-06-26
[ "patt-sol", "nlin.PS" ]
Henar Herrero (Departamento de Fisica y Matematica Aplicada, Facultad de Ciencias, Universidad de Navarra, 31080 Pamplona, Navarra, Spain) and Hermann Riecke (Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL, USA)
patt-sol/9408001
Variational Characterization of the Speed of Propagation of Fronts for the Nonlinear Diffusion Equation
We give an integral variational characterization for the speed of fronts of the nonlinear diffusion equation $u_t = u_{xx} + f(u)$ with $f(0)=f(1)=0$, and $f>0$ in $(0,1)$, which permits, in principle, the calculation of the exact speed for arbitrary $f$.
1994-09-01
2009-10-28
[ "patt-sol", "nlin.PS" ]
R. D. Benguria and M. C. Depassier (Facultad de Fisica P. Universidad Catolica de Chile Casilla 306, Santiago 22, Chile)
patt-sol/9407001
Universal trapping scaling on the unstable manifold for a collisionless electrostatic mode
An amplitude equation for an unstable mode in a collisionless plasma is derived from the dynamics on the two-dimensional unstable manifold of the equilibrium. The mode amplitude $\rho(t)$ decouples from the phase due to the spatial homogeneity of the equilibrium, and the resulting one-dimensional dynamics is analyzed u...
1994-07-06
2009-10-28
[ "patt-sol", "nlin.PS" ]
John David Crawford (Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA)
patt-sol/9406001
The Korteweg-de Vries Hierarchy and Long Water-Waves
By using the multiple scale method with the simultaneous introduction of multiple times, we study the propagation of long surface-waves in a shallow inviscid fluid. As a consequence of the requirements of scale invariance and absence of secular terms in each order of the perturbative expansion, we show that the Kortewe...
1994-06-17
2009-10-28
[ "patt-sol", "nlin.PS", "nlin.SI", "solv-int" ]
R. A. Kraenkel, M. A. Manna (Physique Mathematique et Theorique, URA-CNRS 768 Universite de Montpellier 34095 Montpellier CEDEX 05, France) and J. G. Pereira (Instituto de Fisica Teorica, Universidade Estadual Paulista Rua Pamplona 145)
patt-sol/9405001
Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities
Two front instabilities in a reaction-diffusion system are shown to lead to the formation of complex patterns. The first is an instability to transverse modulations that drives the formation of labyrinthine patterns. The second is a Nonequilibrium Ising-Bloch (NIB) bifurcation that renders a stationary planar front uns...
1994-05-26
2009-10-28
[ "patt-sol", "nlin.PS" ]
Aric Hagberg (Program in Applied Mathematics, University of Arizona, Tucson, AZ) and Ehud Meron (Department of Mathematics, University of Arizona, Tucson, AZ)
patt-sol/9404007
New Sets of Kink Bearing Hamiltonians
Given a kink bearing Hamiltonian, Isospectral Hamiltonian approach is used in generating new sets of Hamiltonains which also admit kink solutions. We use Sine-Gordon model as a example and explicitly work out the new sets of potentials and the solutions.
1994-04-28
2009-10-28
[ "patt-sol", "nlin.PS" ]
B. Dey (Department of Physics, University of Poona, Ganeshkhind, Pune 411 007, India) and C.N. Kumar (Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India)
patt-sol/9404006
Normal Form, Symmetry and Infinite Dimensional Lie Algebra for System of Ode's
The normal form for a system of ode's is constructed from its polynomial symmetries of the linear part of the system, which is assumed to be semi-simple. The symmetries are shown to have a simple structure such as invariant function times symmetries of degree one called basic symmetries. We also show that the set of sy...
1994-04-27
2009-10-28
[ "patt-sol", "nlin.PS" ]
Yuji Kodama
patt-sol/9404005
Dynamic Front Transitions and Spiral-Vortex Nucleation
This is a study of front dynamics in reaction diffusion systems near Nonequilibrium Ising-Bloch bifurcations. We find that the relation between front velocity and perturbative factors, such as external fields and curvature, is typically multivalued. This unusual form allows small perturbations to induce dynamic transit...
1994-04-25
2009-10-28
[ "patt-sol", "nlin.PS" ]
Christian Elphick (Department of Physics, Universidad T\'ecnica Federico Santa Maria, Valparaiso, Casilla 110-V, Chile), Aric Hagberg (Program in Applied Mathematics, University of Arizona, Tucson, AZ) and Ehud Meron (The Jacob Blaustein Institute, for Desert Research and The Physics Department Ben-Gurion Unive...
patt-sol/9404004
Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation
Dissipationless shock waves in modulational unstable one-dimensional medium are investigated on the simplest example of integrable focusing nonlinear Schr\''odinger (NS) equation. Our approach is based on the construction of special exact solution of the Whitham-NS system, which ''partially saturates'' the modulational...
1994-04-21
2009-10-28
[ "patt-sol", "nlin.PS" ]
Ramil' F.Bikbaev, Vadim R.Kudashev (Institute of Mathematics, Chernyshevskii 112, Ufa, Russia)
patt-sol/9404003
Whitham deformations partially saturating the modulational instability in the nonlinear Schrodinger equation
In the framework of Gurevich and Pitaevskii approach [1] we construct modulated by Whitham [2] solution of nonlinear Shrodinger (NS) equation partially saturating the modulational instability. This solution describes new scenario of monochromatic wave evolution in NS equation which leads to generation of new phase and ...
1994-04-20
2008-02-03
[ "patt-sol", "nlin.PS" ]
Ramil' F. Bikbaev, Vadim R. Kudashev (Institute of Mathematics, Chernyshevskii, Ufa, Russia)
patt-sol/9404002
KdV shock-like waves as invariant solutions of KdV equation symmetries
We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation.
1994-04-07
2008-02-03
[ "patt-sol", "nlin.PS" ]
Vadim R. Kudashev (Institute of Mathematics, Ufa, Russia)
patt-sol/9403004
Kinks in the Presence of Rapidly Varying Perturbations
Dynamics of sine-Gordon kinks in the presence of rapidly varying periodic perturbations of different physical origins is described analytically and numerically. The analytical approach is based on asymptotic expansions, and it allows to derive, in a rigorous way, an effective nonlinear equation for the slowly varying f...
1994-03-30
2008-02-03
[ "patt-sol", "nlin.PS" ]
Yuri S. Kivshar (Optical Sci. Centre, Australian National Univ.) Niels Gr\{o}nbech-Jensen (Theor. Div., Los Alamos Nat. Lab.) Robert D. Parmentier (Dipt. Fisica, Univ. Salerno)
patt-sol/9403005
Inverse ac Josephson Effect for a Fluxon in a Long Modulated Junction
We analyze motion of a fluxon in a weakly damped ac-driven long Josephson junction with a periodically modulated maximum Josephson current density. We demonstrate both analytically and numerically that a pure {\it ac} bias current can drive the fluxon at a {\it resonant} mean velocity determined by the driving frequenc...
1994-03-30
2009-10-28
[ "patt-sol", "nlin.PS" ]
Giovanni Filatrella (Phys. Inst., Univ. T\"ubingen) Boris A. Malomed (Dept. Appl. Math., Tel Aviv Univ.) Robert D. Parmentier (Dipt. Fisica, Univ. Salerno)
patt-sol/9403003
New exact fronts for the nonlinear diffusion equation with quintic nonlinearities
We consider travelling wave solutions of the reaction diffusion equation with quintic nonlinearities $u_t = u_{xx} + \mu u (1 -u ) ( 1 +\alpha u + \beta u^2 +\gamma u^3)$. If the parameters $\alpha , \beta$ and $\gamma$ obey a special relation, then the criterion for the existence of a strong heteroclinic connection ...
1994-03-21
2009-10-28
[ "patt-sol", "nlin.PS" ]
R. D. Benguria and M. C. Depassier (Facultad de Fisica, P. Universidad Catolica de Chile, Santiago, Chile)
patt-sol/9403002
Asymptotic expansion for layer solutions of a singularly perturbed reaction-diffusion system
For a singularly perturbed system of reaction--diffusion equations, assuming that the 0th order solutions in regular and singular regions are all stable, we construct matched asymptotic expansions for formal solutions to any desired order in $\epsilon$. The formal solution shows that there is an invariant manifold of w...
1994-03-18
2008-02-03
[ "patt-sol", "chao-dyn", "nlin.CD", "nlin.PS" ]
Xiao-Biao Lin (Department of Mathematics, North Carolina State University, Raleigh, North Carolina)
patt-sol/9403001
On the validity of the linear speed selection mechanism for fronts of the nonlinear diffusion equation
We consider the problem of the speed selection mechanism for the one dimensional nonlinear diffusion equation $u_t = u_{xx} + f(u)$. It has been rigorously shown by Aronson and Weinberger that for a wide class of functions $f$, sufficiently localized initial conditions evolve in time into a monotonic front which propag...
1994-03-08
2016-08-14
[ "patt-sol", "nlin.PS" ]
R. D. Benguria and M. C. Depassier (Facultad de F\'isica, P. Universidad Cat\'olica de Chile, Casilla 306, Santiago 22, Chile)