THE NUCLEAR ENERGY DENSITY FUNCTIONALS WITH MODIFIED RADIAL DEPENDENCE OF THE ISOSCALAR EFFECTIVE MASS

Abstract

Calculations for infinite nuclear matter with realistic nucleon-nucleon interactions suggest that the isoscalar effective mass (IEM) of a nucleon at the saturation density equals m*/m ~ 0.8 ± 0.1, at variance with empirical data on the nuclear level density in finite nuclei which are consistent with m*/m ≈ 1. This contradicting results might be reconciled by enriching the radial dependence of IEM. In this work four new terms are introduced into the Skyrme-force inspired local energy-density functional: τ(∇ρ)2, [Formula: see text], τ2 and τ∆ρ. The aim is to investigate how they influence the radial dependence of IEM and, in turn, the single-particle spectra.