# Systematic study of $\alpha$-decay half-lives of super-heavy nuclei with 106$\leq$Z$\leq$118

## TL;DR

This study systematically analyzes alpha-decay half-lives of superheavy nuclei with Z=106 to 118 using proximity potentials and Coulomb calculations, predicting long half-lives for certain unstable nuclei and validating results with experimental data.

## Contribution

It introduces a precise method combining proximity potential models and Coulomb calculations to predict alpha-decay half-lives of superheavy nuclei, including previously unreported isotopes.

## Key findings

- Ngô 80 potential provides good agreement with experimental data.
- Predicted alpha-decay half-lives up to 100 seconds for some unstable nuclei.
- Results align well with other semi-empirical formulas.

## Abstract

The $\alpha$- decay half-lives of the superheavy nuclei are systematically studied using different versions of proximity potential and a exact method to calculate Coulomb potential between spherical and deformed nuclei in the framework of the double folding model. To reproduce the $\alpha$-decay half-life, the experimental $\alpha$-decay energy and Wentzel-Kramers-Brillouin approximation have been used. It is found that the computed values by the Ng$\hat{o}$ 80 are in good compromise with the experimental half-lives in comparison with other versions. Also, by using this version and within $Q_{WS4}$ for determination $\alpha$-decay energies for superheavy elements, we had predicted the $\alpha$-decay half-lives for superheavy nuclei which have not been reported yet. The long half-lives with magnitude about $100$ seconds are predicted for the superheavy nuclei which are not in stability islands which indicating remarkable stability in comparison with their neighbors. These results are also in good agreement with the predictions of other semi-empirical formulas.