The nuclear energy density functionals with modified radial dependence of the isoscalar effective mass

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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, τdρ/dr, τ² and τΔρ. The aim is to investigate how they influence the radial dependence of IEM and, in turn, the single-particle spectra.