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

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

2009-12-11

arxiv.org/abs/0912.2203v1

Physics

Nuclear Physics

Nuclear Theory

6 pages, 2 figures, contribution from 16th Nuclear Physics Workshop in Kazimierz Dolny, Poland

Scientific paper

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 $m^*/m\sim 0.8\pm 0.1$, at variance with empirical data on the nuclear level density in finite nuclei which are consistent with $m^*/m\approx 1$. 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: $\tau(\nabla\rho)^2$, $\tau\frac{d\rho}{dr}$, $\tau^2$ and $\tau\Delta\rho$. The aim is to investigate how they influence the radial dependence of IEM and, in turn, the single-particle spectra.

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