403 research outputs found
Mean Field Calculation of Thermal Properties of Simple Nucleon Matter on a Lattice
Thermal properties of single species nucleon matter are investigated assuming
a simple form of the nucleon-nucleon interaction. The nucleons are placed on a
cubic lattice, hopping from site to site and interacting through a
spin-dependent force, as in the extended, attractive Hubbard model. A mean
field calculation in the Hartree-Fock Bogoliubov approximation suggests that
the superfluid ground state generated by strong nucleon pairing undergoes a
second-order phase transition to a normal state as the temperature increases.
The calculation is shown to lead to a promising description of the thermal
properties of low-density neutron matter. A possibility of a density wave phase
is also examined.Comment: 30 pages, 8 figures, to appear in Physical Review
Possibility of \Lambda\Lambda pairing and its dependence on background density in relativistic Hartree-Bogoliubov model
We calculate a \Lambda\Lambda pairing gap in binary mixed matter of nucleons
and \Lambda hyperons within the relativistic Hartree-Bogoliubov model. Lambda
hyperons to be paired up are immersed in background nucleons in a normal state.
The gap is calculated with a one-boson-exchange interaction obtained from a
relativistic Lagrangian. It is found that at background density
\rho_{N}=2.5\rho_{0} the \Lambda\Lambda pairing gap is very small, and that
denser background makes it rapidly suppressed. This result suggests a
mechanism, specific to mixed matter dealt with relativistic models, of its
dependence on the nucleon density. An effect of weaker \Lambda\Lambda
attraction on the gap is also examined in connection with revised information
of the \Lambda\Lambda interaction.Comment: 8 pages, 6 figures, REVTeX 4; substantially rewritten, emphasis is
put on the LL pairing in pure neutron matte
Pairing properties of nucleonic matter employing dressed nucleons
A survey of pairing properties of nucleonic matter is presented that includes
the off-shell propagation associated with short-range and tensor correlations.
For this purpose, the gap equation has been solved in its most general form
employing the complete energy and momentum dependence of the normal self-energy
contributions. The latter correlations include the self-consistent calculation
of the nucleon self-energy that is generated by the summation of ladder
diagrams. This treatment preserves the conservation of particle number unlike
approaches in which the self-energy is based on the Brueckner-Hartree-Fock
approximation. A huge reduction in the strength as well as temperature and
density range of - pairing is obtained for nuclear matter as
compared to the standard BCS treatment. Similar dramatic results pertain to
pairing of neutrons in neutron matter.Comment: 15 pages, 10 figure
Dirac Sea Effects on Superfluidity in Nuclear Matter
We study two kinds of Dirac sea effects on the pairing gap in nuclear
matter based on the relativistic Hartree approximation to quantum hadrodynamics
and the Gor'kov formalism. We show that the vacuum fluctuation effect on the
nucleon effective mass is more important than the direct coupling between the
Fermi sea and the Dirac sea due to the pairing interaction. The effects of the
high-momentum cutoff are also discussed.Comment: 11 pages, 3 eps figures included, uses REVTeX (with \tightenlines
S-wave Pairing of Hyperons in Dense Matter
In this work we calculate the gap energies of hyperons in
neutron star matter. The calculation is based on a solution of the BCS gap
equation for an effective G-matrix parameterization of the
interaction with a nuclear matter background, presented recently by Lanskoy and
Yamamoto. We find that a gap energy of a few tenths of MeV is expected for
Fermi momenta up to about 1.3 fm. Implications for neutron
star matter are examined, and suggest the existence of a
superfluid between the threshold baryon density for formation and the
baryon density where the fraction reaches .Comment: 16 pages, Revtex, 9 figures, 33 reference
Time-resolved photoelectron spectroscopy of proton transfer in the ground state of chloromalonaldehyde: Wave-packet dynamics on effective potential surfaces of reduced dimensionality
We report on a simple but widely useful method for obtaining time-independent potential surfaces of reduced dimensionality wherein the coupling between reaction and substrate modes is embedded by averaging over an ensemble of classical trajectories. While these classically averaged potentials with their reduced dimensionality should be useful whenever a separation between reaction and substrate modes is meaningful, their use brings about significant simplification in studies of time-resolved photoelectron spectra in polyatomic systems where full-dimensional studies of skeletal and photoelectron dynamics can be prohibitive. Here we report on the use of these effective potentials in the studies of dump-probe photoelectron spectra of intramolecular proton transfer in chloromalonaldehyde. In these applications the effective potentials should provide a more realistic description of proton-substrate couplings than the sudden or adiabatic approximations commonly employed in studies of proton transfer. The resulting time-dependent photoelectron signals, obtained here assuming a constant value of the photoelectron matrix element for ionization of the wave packet, are seen to track the proton transfer. (c) 2006 American Institute of Physics.1241
Microscopic structure of a vortex line in superfluid neutron star matter
The microscopic structure of an isolated vortex line in superfluid neutron
star matter is studied by solving the Bogoliubov-de Gennes equations. Our
calculation, which is the starting point for a microscopic calculation of
pinning forces in neutron stars, shows that the size of the vortex core varies
differently with density, and is in general smaller than assumed in some
earlier calculations of vortex pinning in neutron star crusts. The implications
of this result are discussedComment: 5 pages, 2 figure
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