Abstract

The results of fully microscopic calculations for the $\ensuremath{\alpha}$-decay half-lives of light $\ensuremath{\alpha}$ emitters close to the $N=Z$ line are presented. The ground-state properties are calculated in the relativistic mean field (RMF) approach which reproduce the experiment well, as expected. The $\ensuremath{\alpha}$-daughter nucleus potential is then calculated in the double folding model using the density dependent M3Y nucleon-nucleon interaction and the RMF nuclear density distributions. This potential in turn is used to calculate the $\ensuremath{\alpha}$-decay half-lives in the WKB approximation. The results closely agree with the corresponding values obtained by using the available phenomenological expressions as well as with the experiment. The $\ensuremath{\alpha}$-decay half-lives of a few Te, I, Xe, Cs, and Ba isotopes have also been predicted.

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