Half-lives for proton emission and {\alpha} decay within the deformed Gamow-like model

TL;DR

This paper introduces a deformed Gamow-like model to accurately calculate alpha decay and proton emission half-lives, emphasizing the importance of nuclear deformation effects especially for nuclei far from shell closures, and predicts properties of superheavy nuclei.

Contribution

The study develops an improved deformed Gamow-like model that incorporates nuclear deformation effects, enhancing the accuracy of decay half-life predictions for nuclei far from shell closures.

Findings

Model agrees well with most existing models.

Deformation effects are crucial for nuclei far from shell closures.

Predicted neutron magic number relevant for superheavy nuclei.

Abstract

In the present work, we study {\alpha} decay and proton emission half-lives within the modified Gamow-like model, which introduces the effects of the nucleus's deformation. The calculations show that it is necessary to consider the deformation in the calculation for nuclei far from the shell. Moreover, we use the improved model to predict the proton emission half-lives of the nuclei far from the shell. The calculation results indicate that our model is in good agreement with most models. Furthermore, the deformed Gamow-like model is used to find the following neutron magic number. This work is meaningful for future research on superheavy nuclei.