Mean Field Calculation of Thermal Properties of Simple Nucleon Matter on a Lattice

Abstract

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.

arXiv comment30 pages, 8 figures, to appear in Physical Review C

References in corpus (16)

• The equation of state for nucleon matter and neutron star structure
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Spin-Isospin Structure and Pion Condensation in Nucleon Matter
• Two Nucleons on a Lattice
• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Recent Progress in Neutron Star Theory
• Pairing in low-density Fermi gases
• Neutron matter at zero temperature with auxiliary field diffusion Monte Carlo
• Nuclear Matter on a Lattice
• Density-induced BCS to Bose-Einstein crossover
• Model--space approach to ${}^1{S}_0$ neutron and proton pairing with the Bonn meson--exchange potentials
• Phases of asymmetric nuclear matter with broken space symmetries
• Precritical pair fluctuations and formation of a pseudogap in low-density nuclear matter
• Nuclear liquid-gas phase transition within the lattice gas model
• Isospin Lattice Gas Model and Nuclear-Matter Phase Diagram and Pressure-Volume Isotherms
• Microcanonical Lattice Gas Model for Nuclear Disassembly

Cited by in corpus (9)

• Nuclear effective field theory: status and perspectives
• Cold dilute neutron matter on the lattice I: Lattice virial coefficients and large scattering lengths
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Lattice Calculation of Thermal Properties of Low-Density Neutron Matter with Pionless NN Effective Field Theory
• From Low-Density Neutron Matter to the Unitary Limit
• Chiral effective field theory on the lattice at next-to-leading order
• Effective Field Theory of Nucleon-Nucleon Scattering on Large Discrete Lattices
• Temperature-dependent errors in nuclear lattice simulations
• Pressure inequalities for nuclear and neutron matter