Bulk Properties of Symmetric Nuclear and Pure Neutron Matter

Khaled Hassaneen,Hesham Mansour

doi:10.4236/jmp.2013.45b008

Abstract

We study the equation of state (EOS) of symmetric nuclear and neutron matter within the framework of the Brueckner-Hartree-Fock (BHF) approach which is extended by including a density-dependent contact interaction to achieve the empirical saturation property of symmetric nuclear matter. This method is shown to affect significantly the nuclear matter EOS and the density dependence of nuclear symmetry energy at high densities above the normal nuclear matter density, and it is necessary for reproducing the empirical saturation property of symmetric nuclear matter in a nonrelativistic microscopic framework. Realistic nucleon-nucleon interactions which reproduce the nucleon-nucleon phase shifts are used in the present calculations.

Highlights

Many-body calculations which are based on the realistic bare nucleon-nucleon potentials are able to reproduce qualitatively but not quantitatively the saturation properties of symmetric nuclear matter
We study the equation of state (EOS) of symmetric nuclear and neutron matter within the framework of the Brueckner-Hartree-Fock (BHF) approach which is extended by including a density-dependent contact interaction to achieve the empirical saturation property of symmetric nuclear matter
Upper panel represents the symmetric nuclear matter and pure neutron matter is shown by lower panel

Summary

Introduction

Many-body calculations which are based on the realistic bare nucleon-nucleon potentials are able to reproduce qualitatively but not quantitatively the saturation properties of symmetric nuclear matter. The theoretical predictions give a saturation density sensibly higher than the experimental value ρ0 ≈ 0.16 fm−3 (usually in the range 1.5 ρ0 - 2 ρ0) and often over bind the nuclear system (up to 25%), failing to get close to the empirical binding energy E0 ≈ −16 MeV. The traditional models of such realistic NN interactions like, e.g., the charge-dependent Bonn (CD-Bonn) potential [5] or the Reid 93 or Nijm potentials [6] Such nonperturbative approximations include the Brueckner hole-line expansion with the Brueckner Hartree-Fock (BHF) [1] approximation, the self-consistent evaluation of Green’s function using the T-matrix or G-matrix approximation [7,8,9,10,11,12] (SCGF) and variational approaches using correlated basis functions [13]. In the present work we implement the self consistent G-matrix scheme with three different realistic NN potentials (CD-Bonn, Nijm and Reid 93) plus a density-dependent contact interaction to achieve the empirical saturation

BHF for Symmetric Nuclear Matter

Results and Discussion

C D -B onn

Summary