Nuclear matter equation of state using density-dependent M3Y nucleon–nucleon interactions

Abstract

The main motivation of this work is to study the isospin-asymmetric nuclear matter (NM) equation of state using the density-dependent M3Y-Paris and Reid effective interactions in their CDM3Y version. To do so, the CDM3Y parameters for both interactions are linked in simple formulae to the saturation density, energy per nucleon and incompressibility, K0, of symmetric NM using the same non-relativistic Hartree–Fock scheme as used by Khoa et al. New sets of the CDM3Y-Paris (Reid) density dependences are deduced to generate different equations of state starting from very soft one, K0 = 150 MeV, up to the stiff one with K0 = 300 MeV. The properties of isospin-symmetric and asymmetric NM, up to pure neutron matter (PNM), and the nuclear density range and stiffness of bound asymmetric NM are then explored for the equations of state with the incompressibility range of 200–300 MeV. With conspicuous differences for all considered NM quantities even at sub-saturation densities, the most investigated equations of state yield soft nuclear symmetry energy at the high densities with a maximum value lying in the range ρ0-3ρ0. Only the CDM3Y-Paris (Reid) interaction characterized with the incompressibility value 240 MeV (230 MeV) predicts NM pressure consistent with previous constraints on both symmetric NM and PNM pressure. Finally, the behavior of the asymmetric NM saturation density, energy per nucleon and incompressibility is investigated as a function of the isospin-asymmetry, I ≡ (ρn −ρp)/ρ.