修正径向等效质量关系的核能密度泛函
The nuclear energy density functionals with modified radial dependence of the isoscalar effective mass
摘要：
对具有真实核子-核子相互作用的无限核物质的计算表明，核子在饱和密度下的等效等效质量等于$m^*/m\sim 0.8\pm 0.1$，这与有限核中与$m^*/m\approx 1$一致的核能级密度的经验数据不同.这种矛盾的结果可能会被调和丰富的径向依赖IEM。本文在Skyrme力激发的局域能量密度泛函中引入了四个新项：$τ(\nablaρ)^2$，$τ\frac{dρ}{dr}$，$τ^2$和$τΔρ$ .目的是研究它们如何影响IEM的径向依赖性，进而影响单粒子谱。
英文摘要：
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: $τ(\nablaρ)^2$, $τ\frac{dρ}{dr}$, $τ^2$ and $τΔρ$. The aim is to investigate how they influence the radial dependence of IEM and, in turn, the single-particle spectra.
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