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

Abstract

A systematic study on $\alpha$-decay half-lives for the nuclei in the range $93\le Z\le 118$ 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, $Bass77$ and $Ngo80$ 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.

arXiv commentChin. Phys. C, accepted sep (2021) 13 pages, 3 figures

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