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

Abstract

A systematic study on the α-decay half-lives of nuclei in the range is performed by employing various versions of proximity potentials. To obtain more reliable results, deformation terms are included up to hexadecapole ( ) in the spherical-deformed nuclear and Coulomb interaction potentials. First, the favored α-decay processes in this region are categorized as even-even, odd A, and odd-odd nuclei. Second, they are grouped into two transitions: ground state to ground state and ground state to isomeric states. Owing to the comparison of their root-mean-square deviations (RMSD's), and have the lowest values and better reproduce experimental data. Moreover, by considering preformation probability within the cluster formation model, the results validate the significant reduction in root-mean-square deviations obtained for different versions of proximity. Hence, the deviation between the calculated and experimental data is detracted.