Symmetry energy: from nuclear matter to finite nuclei

TL;DR

This paper develops a detailed theoretical framework for understanding symmetry energy in nuclei, linking macroscopic nuclear properties to bulk nuclear matter characteristics, and introduces new concepts like the equimolar radius.

Contribution

It proposes a novel procedure for deriving the beta-stability line and symmetry energy, redefining surface tension and symmetry energy for asymmetric nuclear drops, and relates these to bulk nuclear matter properties.

Findings

Analyzed the behavior of the symmetry energy coefficient $b(A,N-Z)$.

Redefined surface tension and symmetry energy for asymmetric nuclear drops.

Calculated surface-to-volume symmetry energy ratios for various Skyrme-force parametrizations.

Abstract

We suggest a particular procedure of derivation of the beta-stability line and isotopic symmetry energy. The behavior of the symmetry energy coefficient $b(A,N-Z)$ is analyzed. We redefine the surface tension coefficient and the surface symmetry energy for an asymmetric nuclear Fermi-liquid drop with a finite diffuse layer. Following Gibbs-Tolman concept, we introduce the equimolar radius at which the surface tension is applied. The relation of the nuclear macroscopic characteristics like surface and symmetry energies, Tolman length, etc. to the bulk properties of nuclear matter is considered. The surface-to-volume symmetry energy ratio for several Skyrme-force parametrizations is obtained.