Proton radioactivity half lives with Skyrme interactions

TL;DR

This paper calculates proton radioactivity half-lives using Skyrme interactions within an energy density formalism and improved WKB method, showing good agreement with previous complex models.

Contribution

It introduces a simplified algebraic expression for the nuclear potential using Skyrme interactions to compute proton emission half-lives.

Findings

Half-lives calculated are in reasonable agreement with previous models.

Skyrme sets provide consistent results across different nuclei.

The method simplifies calculations without sacrificing accuracy.

Abstract

The potential barrier impeding the spontaneous emission of protons in the proton radioactive nuclei is calculated as the sum of nuclear, Coulomb and centrifugal contributions. The nuclear part of the proton-nucleus interaction potential is obtained in the energy density formalism using Skyrme effective interaction that results into a simple algebraic expression. The half-lives of the proton emitters are calculated for the different Skyrme sets within the improved WKB framework. The results are found to be in reasonable agreement with the earlier results obtained for more complicated calculations involving finite range interactions.