Theoretical study on half-lives of exotic radioactivities

We systematically investigate the half-lives of exotic radioactivities in the framework of the density-dependent cluster model. Simple analytical formulas between lifetime and decay energy are also derived for the exotic radioactivities based on the Gamow quantum tunnelling theory. The theoretical results from the density-dependent cluster model and from the analytical formulas agree well with the experimental data. A unified description is achieved for proton emission, a-decay and cluster radioactivity by both phenomenological and microscopic methods.