In the previous paper [Bhagwat, Centelles, Viñas, and Schuck, Phys. Rev. C 103, 024320 (2021)] we have shown that self-consistent extended Thomas-Fermi (ETF) potentials and densities associated with a given finite-range interaction can be parametrized by generalized Fermi distributions. As a next step, a comprehensive calculation of ground-state properties of a large number of spherical and deformed even-even nuclei is carried out in the present paper using the Gogny D1S force within the ETF scheme. The parametrized ETF potentials and densities of the previous paper are used to calculate the smooth part of the energy and the shell corrections within the Wigner-Kirkwood semiclassical averaging scheme. It is shown that the shell corrections thus obtained, along with a simple liquid drop prescription, yield a good description of ground-state masses and potential-energy surfaces for nuclei spanning the entire periodic table.

中文翻译：

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Wigner-Kirkwood平均方案基于Gogny力的微观-宏观方法

在先前的论文中[Bhagwat，Centelles，Viñas和Schuck，Phys。C版 103，024320（2021）]我们已经证明，与给定有限范围相互作用相关的自洽扩展Thomas-Fermi（ETF）势和密度可以通过广义费米分布来参数化。下一步，本文使用ETF方案中的Gogny D1S力，对大量球形和变形偶数核的基态性质进行了综合计算。前一篇论文的参数化ETF势和密度用于计算Wigner-Kirkwood半经典平均方案中能量的平滑部分和壳校正。结果表明，如此获得的壳层校正以及简单的液滴处方，可以很好地描述整个核周期表中原子核的基态质量和势能表面。