The single-particle potential, symmetry coefficient and effective mass in nuclear matter

Abstract

The single-particle potential, its isotopic spin dependence, symmetry coefficient and effective mass in nuclear matter have been calculated using a simple effective interaction consisting of a density-dependent delta-function repulsion and a gaussian attraction. The density dependence in the interaction has been considered in three different forms: rho 2/3, rho 1/3 and rho 1/6. The three parameters of the interaction are determined so as to reproduce the correct binding energy and density in nuclear matter and the ground-state energy of 16O. With the above interaction, simple relations for the single-particle potential, symmetry coefficient, effective mass and other related quantities in nuclear matter are derived. It is found that the Hugenholtz-Van Hove theorem is satisfied exactly and the results for these quantities are in good agreement with those referred to in the literature.