Theoretical study on favored alpha-decay half-lives of deformed nuclei

TL;DR

This paper systematically analyzes alpha-decay half-lives of deformed nuclei with Z=93 to 118 using proximity potentials, incorporating deformation effects up to hexadecapole, and validates models against experimental data.

Contribution

It introduces a comprehensive theoretical approach including deformation terms up to hexadecapole and evaluates various proximity potentials for accurate alpha-decay predictions.

Findings

Bass 77 and Ngo 80 potentials best reproduce experimental data.

Including deformation terms improves half-life calculations.

Preformation probability reduces deviations between theory and experiment.

Abstract

A systematic study on $\alpha$-decay half-lives for the nuclei in the range $93\leq Z \leq 118$ is done by employing various versions of proximity potentials. To obtain the more reliable results, the deformation terms are included up to hexadecapole ($\beta_{4}$) in the spherical-deformed nuclear and Coulomb interaction potentials. The favored $\alpha$-decays process in this region are categorized as the even-even, odd A, and odd-odd nuclei, first, and second they are grouped into two parts as a ground state to ground state and ground state to isomeric states transition. Due to their root-mean-square deviations (RMSD's) comparison, $Bass 77$ and $Ngo 80$ have the least values and better compromise in reproducing experimental data. Besides, by considering preformation probability within the cluster formation model, the results validate that the significant reduction in root-mean-square deviations has been obtained for different versions of proximity; Hence detract the deviation between calculated and experimental data.