α-decay half-lives of ground and isomeric states of exotic nuclei around closed shells

Abstract

We investigate the $\ensuremath{\alpha}$-decay half-lives of ground and isomeric states of exotic nuclei around the shell closures $Z=82$ and $N=82$ by the density-dependent cluster model (DDCM). Our calculations concentrate on four kinds of favored $\ensuremath{\alpha}$ transitions: (1) ground state to ground state, (2) ground state to isomeric state, (3) isomeric state to ground state, and (4) isomeric state to isomeric state. The calculated $\ensuremath{\alpha}$-decay half-lives of both ground and isomeric states are found to be in good agreement with the experimental data. Useful predictions on the partial half-lives of several $\ensuremath{\alpha}$ emitters are made for future experiments.