The α-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 α-decay half-life, the experimental α-decay energy and Wentzel-Kramers-Brillouin approximation have been used. It is found that the computed values by the Ngô 80 are in good compromise with the experimental half-lives in comparison with other versions. Also, by using this version and within QW S4 for determination α-decay energies for superheavy elements, we had predicted the α-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.PACS numbers:

In this paper, we have calculated the α-decay half-lives of superheavy nuclei with 106 ≤ Z ≤ 126 and a neutron number of 150 ≤ N ≤ 200 within proximity potentials and deformed-spherical Coulomb potentials by using W S4 α-decay energy and the semi-classical Wentzel-Kramers-Brillouin approximation for penetration probability. Besides, we have included the preformation factor within the cluster-formation model. We have investigated magic numbers and submagic numbers in the mentioned region; with high probability 162, 178, and 184 are predicted as neutron magic numbers. We also have confirmed that there is good agreement between our predicted half-lives and the ones obtained from semiempirical relationships such as Royer, VSS, UDL, and SemFIS2.

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.