Global calculation of α-decay half-lives with a deformed density-dependent cluster model

Abstract

A global calculation of favored \ensuremath{\alpha}-decay half-lives of both even-$A$ and odd-$A$ deformed nuclei is carried out in the framework of a deformed version of the density-dependent cluster model (DDCM). The influence of nuclear deformation on \ensuremath{\alpha}-decay half-lives is taken into account in the deformed DDCM. The microscopic potential between the spherical \ensuremath{\alpha} particle and the deformed daughter nucleus is evaluated numerically from the double-folding model by the multipole expansion method. The deformation and orientation dependence of the \ensuremath{\alpha}-core potential is analyzed and discussed. The formulas of the deformed DDCM are presented in detail, and a large number of numerical calculations of medium and heavy nuclei with available data are completed. The total number of \ensuremath{\alpha} emitters calculated in this article is 485, and this covers the nuclei with $Z=52\text{\ensuremath{-}}110$. This is a complete study of \ensuremath{\alpha}-decay half-lives on both even-$A$ and odd-$A$ nuclei with deformed microscopic potentials. The numerical results obtained by the deformed DDCM are in good agreement with the experimental data.