# Systematic study of proton radioactivity of spherical proton emitters within various versions of proximity potential formalisms

## TL;DR

This study systematically evaluates various proximity potential models to accurately predict proton radioactivity half-lives of spherical emitters, identifying the most suitable formalism and extending predictions to unmeasured cases.

## Contribution

It compares 28 proximity potential versions for proton radioactivity, finds the most accurate model, and predicts half-lives for 13 unmeasured spherical proton emitters.

## Key findings

- 21 models unsuitable due to potential depth issues
- Guo2013 model provides lowest rms deviation
- Predicted half-lives for 13 emitters within a factor of 3.71

## Abstract

In this work we present a systematic study of the proton radioactivity half-lives of spherical proton emitters within the Coulomb and proximity potential model. We investigate 28 different versions of the proximity potential formalisms developed for the description of proton radioactivity, $\mathcal{\alpha}$ decay and heavy particle radioactivity. It is found that 21 of them are not suitable to deal with the proton radioactivity, because the classical turning points $r_{\text{in}}$ cannot be obtained due to the fact that the depth of the total interaction potential between the emitted proton and the daughter nucleus is above the proton radioactivity energy. Among the other 7 versions of the proximity potential formalisms, it is Guo2013 which gives the lowest rms deviation in the description of the experimental half-lives of the known spherical proton emitters. We use this proximity potential formalism to predict the proton radioactivity half-lives of 13 spherical proton emitters, whose proton radioactivity is energetically allowed or observed but not yet quantified, within a factor of 3.71.