Influence of surface effects on neutron skin in atomic nuclei

TL;DR

This paper investigates how the diffuse surface layer of atomic nuclei affects neutron skin thickness and isotopic shifts, using Gibbs-Tolman and variational methods for calculations.

Contribution

It introduces a comparative analysis of surface effects on neutron skin using Gibbs-Tolman and variational approaches.

Findings

Surface effects significantly influence neutron skin measurements.

Gibbs-Tolman approach provides results consistent with variational methods.

The study enhances understanding of nuclear surface contributions to radii.

Abstract

The influence of the diffuse surface layer of a finite nucleus on the mean square radii and their isotopic shift is investigated. We present the calculations within the Gibbs-Tolman approach using the experimental values of the nucleon separation energies. Results are compared with that obtained by means of direct variational method based on Fermi-like trial functions.