Abstract
We study the properties of nuclear matter with lattice nucleon-nucleon (NN) potential in the relativistic Brueckner-Hartree-Fock (RBHF) theory. To use this potential in such a microscopic many-body theory, we firstly have to construct a one-boson-exchange potential (OBEP) based on the latest lattice NN potential. Three mesons, pion, σ meson, and ω meson, are considered. Their coupling constants and cut-off momenta are determined by fitting the on-shell behaviors and phase shifts of the lattice force, respectively. Therefore, we obtain two parameter sets of the OBEP potential (named as LOBEP1 and LOBEP2) with these two fitting ways. We calculate the properties of symmetric and pure neutron matter with LOBEP1 and LOBEP2. In non-relativistic Brueckner-Hartree-Fock case, the binding energies of symmetric nuclear matter are around −3 and −5 MeV at saturation density, while it becomes −8 and −12 MeV in relativistic framework with 1S0, 3S1, and 3D1 channels using our two parameter sets. For the pure neutron matter, the equations of state in non-relativistic and relativistic cases are very similar due to only consideration 1S0 channel with isospin T = 1 case.
Highlights
We study the properties of nuclear matter with lattice nucleon-nucleon (NN) potential in the relativistic Brueckner-Hartree-Fock (RBHF) theory
The NN potential used in the RBHF theory should be the one described by quantum field theory with spinor structure in order to take into account the nuclear medium effect
We fitted the one-boson-exchange potential (OBEP) with the on-shell matrix elements and phase shifts of La469 potential respectively, and obtained LOBEP1 and LOBEP2, which could completely reproduce the fitting data
Summary
We study the properties of nuclear matter with lattice nucleon-nucleon (NN) potential in the relativistic Brueckner-Hartree-Fock (RBHF) theory. Inoue et al applied such lattice NN potentials on the study of nuclear many-body system from nuclear matter to finite nuclei[6,7] They obtained a saturation point (ρ0 = 0.414 fm−3, E/A =−5.4 MeV) for symmetric nuclear matter with the lightest quark mass (mπ = 468.6 MeV, MN = 1161 MeV) using a powerful microscopic nuclear many-body theory, Brueckner-Hartree-Fock (BHF) theory[8], which can deal with the short-range central and intermediate tensor forces properly. In this case, the maximum mass of the neutron star is found to be 0.53 times the solar mass. In this work, we would like to study the properties of nuclear matter using the lattice NN potential with the RBHF theory
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