The α-decay half-lives of heavy nuclei via the double folding model with the use of relativistic NN interactions

Abstract

In this study, the half-lives of [Formula: see text]-decay from some heavy nuclei in the range [Formula: see text] have been studied using the WKB semi-classical approximation. The nuclear interaction potential between the [Formula: see text]-particle and the daughter nuclei is obtained within the double folding model. The [Formula: see text] interactions employed are those derived from relativistic mean field (RMF) theory, called as R3Y [Formula: see text] interactions. Six different R3Y [Formula: see text] interactions are considered in the study to determine the most appropriate R3Y parametrization for heavy nuclei. Some of the R3Y interactions (such as R3Y-HS, R3Y-L1, R3Y-Z, R3Y-W) contain only linear [Formula: see text], [Formula: see text], and [Formula: see text] mesons, while the others (such as R3Y-NL2, R3Y-NLSH) contain nonlinear terms, in addition to the linear terms. All the R3Y [Formula: see text] interactions used are found to be efficient in describing the [Formula: see text]-decay half-lives data. However, R3Y [Formula: see text] interactions containing nonlinear terms are found to perform better than those containing only linear terms of the mesons.