Theoretical calculations of proton emission half-lives based on a deformed Gamow-like model

TL;DR

This paper presents a theoretical study of proton emission half-lives in deformed nuclei using a Gamow-like model that incorporates deformation effects, successfully reproducing experimental data and analyzing angular momentum contributions.

Contribution

It introduces a deformed Gamow-like model that includes deformation effects in Coulomb potential to calculate proton emission half-lives, providing improved agreement with experimental data.

Findings

Experimental half-lives are reproduced within a factor of 3.45.

The model's results are comparable to the universal decay law and Geiger-Nuttall law.

Possible angular momentum values for specific isotopes are proposed.

Abstract

In the present study, proton emission half-lives have been investigated for the deformed proton emitters with $53\leq Z \leq 83$ in the deformed Gamow-like model, where the deformation effect has been included in the Coulomb potential. The experimental half-lives of proton emitters can be reproduced within a factor of 3.45. For comparison, other results from the universal decay law and the new Geiger-Nuttall law are presented as well. Furthermore, the relevance of the half-lives to the angular momentum $l$ for $^{117}$La, $^{121}$Pr, $^{135}$Tb and $^{141}$Ho has been analyzed, and corresponding possible values of $l$ has been put forward: $l=$3, 3, 4, 4.