Neutron skin and halo in medium and heavy nuclei within the extended Thomas-Fermi theory

TL;DR

This paper investigates neutron skin and halo structures in medium and heavy nuclei using the extended Thomas-Fermi approximation, deriving analytical expressions and analyzing their contributions to nuclear size differences.

Contribution

It introduces an analytical expression for the isovector shift of rms radii as a sum of skin and halo terms within the extended Thomas-Fermi framework.

Findings

Halo and skin contributions to $ ext{rms radii}$ are approximately equal.

Analytical expression for $ ext{isovector shift}$ derived within the extended Thomas-Fermi model.

Calculations performed using Skyrme-like forces with a variational method.

Abstract

The neutron skin and halo distributions in medium and heavy nuclei are calculated within the extended Thomas-Fermi approximation. Calculations are carried out for the effective Skyrme-like forces using the direct variational method. The analytical expression for the isovector shift of the rms radii $\Delta r_{np}$ as a sum of skin- and halo-like terms is obtained. The contribution of halo and skin terms to $\Delta r_{np}$ are found to be approximately equal.