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

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.