Fine structure in the {\alpha}-decay of odd-even nuclei

TL;DR

This study applies the Coulomb and proximity potential model for deformed nuclei to systematically analyze alpha-decay fine structure in odd-even nuclei, achieving good agreement with experimental data and predicting hindered transitions.

Contribution

It introduces a unified formalism (CPPMDN) that successfully explains alpha decay and fine structure across various nuclear states and configurations.

Findings

Good agreement between computed and experimental half-lives and branching ratios

Successful prediction of angular momentum and structure hindered transitions

Alpha decay probability influenced by surface differences and deformation parameters

Abstract

Systematic study on {\alpha}-decay fine structure is presented for the first time in the case of odd-even nuclei in the range 83 \leq Z \leq 101. The model used for the study is the recently proposed Coulomb and proximity potential model for deformed nuclei (CPPMDN), which employs deformed Coulomb potential, deformed two term proximity potential and centrifugal potential. The computed partial half lives, total half lives and branching ratios are compared with experimental data and are in good agreement. The standard deviation of partial half-life is 1.08 and that for branching ratio is 1.21. Our formalism is also successful in predicting angular momentum hindered and structure hindered transitions. The present study reveals that CPPMDN is a unified theory which is successful in explaining alpha decay from ground and isomeric state; and alpha fine structure of even-even, even-odd and odd-even nuclei. Our study relights that the differences in the parent and daughter surfaces or the changes in the deformation parameters as well as the shell structure of the parent and daughter nuclei, influences the alpha decay probability.