A density-dependent local effective interaction between nucleons in nuclear matter

Abstract

A local effective interaction, that reproduces the G-matrix elements from an infinite nuclear matter calculation using the Reid potential, is constructed. The interaction is defined to reproduce diagonal G-matrix elements. It is expressed as a sum of Gaussians, and the density dependence and starting energy dependence are parameterized in simple ways. Following Negele, averages over angular momentum reduce the force to an effective central interaction. Renormalization factors affecting the short-range part of the interaction are supplied which allow one to use a force having a specified binding energy and saturation density, and within limits to adjust the symmetry energy and compressibility of nuclear matter. The force is suitable for finite nucleus Hartree-Fock studies in the local density approximation, where the sensitivity to the above listed properties can be studied systematically. Some problems connected with the rearrangement symmetry energy are discussed.