Systematic study of α-decay properties of superheavy nuclei

The $\ensuremath{\alpha}$ decay of superheavy nuclei (SHN) is studied within the framework of the shell-model rate theory. The $\ensuremath{\alpha}$ half-lives are calculated in terms of the $\ensuremath{\alpha}$ clustering and resonance scattering amplitudes given by self-consistent models for the nuclear structure and reaction dynamics. The results and their systematics are compared with the available experimental data and with those data obtained from empirical models. The Brown relationship [B. A. Brown, Phys. Rev. C 46, 811 (1992)], which predicts a linear dependence of the $\mathrm{log}{T}_{\ensuremath{\alpha}}$ on ${Z}_{d}^{0.6}{Q}_{\ensuremath{\alpha}}^{\ensuremath{-}1/2}$, is used to obtain a relevant systematics for $\ensuremath{\alpha}$ half-lives of the observed SHN. Also, simple fit formulas are proposed for $\ensuremath{\alpha}$-half-time estimations with reduced standard errors. Comparison of experimental and calculated results provides insight into the accuracy of modern approaches for the structure of SHN with valence nucleons outside the doubly magic core.