Gibbs-Tolman approach to the curved interface effects in asymmetric nuclei

TL;DR

This paper applies the Gibbs-Tolman approach to asymmetric nuclei, redefining surface tension and symmetry energy, and analyzing the effects of curvature and asymmetry on nuclear surface properties.

Contribution

It introduces the concepts of equimolar and Laplace radii in the context of asymmetric nuclear Fermi-liquid drops, extending the Gibbs-Tolman framework to nuclear physics.

Findings

The nuclear Tolman length $\xi$ is negative.

The magnitude of $\xi$ increases quadratically with asymmetry parameter $X$.

Redefinition of surface tension and symmetry energy for asymmetric nuclei.

Abstract

We redefine the surface tension coefficient and the symmetry energy for an asymmetric nuclear Fermi-liquid drop with a finite diffuse layer. Considering two-component charged Fermi-liquid drop and following Gibbs-Tolman concept, we introduce the equimolar radius $R_{e}$ of sharp surface droplet at which the surface tension is applied and the radius of tension surface $R_{s}$ (Laplace radius) which provides the minimum of the surface tension coefficient $\sigma$. We have shown that the nuclear Tolman length $\xi$ is negative and the modulus of $\xi$ growth quadratically with asymmetry parameter $X=(N-Z)/(N+Z)$.