In this paper, we present recent development in semi-classical description of static properties of nuclei. By employing the Wigner transform, we derive simple semiclassical approximations for evaluating properties of nuclear system. We present results of calculations of static properties, using the energy density functional associated with Skyrme effective nucleon–nucleon interaction. In particular, we consider properties of the Wigner distribution function, line of beta stability, Coulomb and symmetry energies, deformation energies, equation of state, nuclear radii, and single-particle level density.

中文翻译：

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原子核静态性质的半经典近似描述

在本文中，我们介绍了原子核静态特性的半经典描述的最新进展。通过使用 Wigner 变换，我们推导出了用于评估核系统特性的简单半经典近似。我们使用与 Skyrme 有效核子-核子相互作用相关的能量密度泛函，展示了静态特性的计算结果。特别是，我们考虑了 Wigner 分布函数、β 稳定性线、库仑和对称能量、变形能量、状态方程、核半径和单粒子能级密度的性质。