Beta - and gamma-decay transition rates in the two-group shell model

TL;DR

This paper derives formulas for beta- and gamma-decay transition rates within the two-group shell model, aiding qualitative analysis of nuclear spectroscopy across various nuclei, especially near magic numbers.

Contribution

It provides new analytical formulas for transition rates in the two-group shell model, applicable to diverse nuclear configurations and states.

Findings

Formulas for transition rates in various nuclear configurations

Dependence of rates on subshell occupancies and spin values

Useful for qualitative spectroscopic analysis near magic nuclei

Abstract

In the framework of the two-group configuration model we obtain formulas for the reduced transition rates for beta- and gamma-transitions in even-even, odd-odd, even-odd, and odd-even nuclei. We explored dependencies of the transition rates on the occupancies of the involved subshells, as well as on the spin values of the initial and final states. The obtained formulas are useful for the qualitative spectroscopic analysis of experimental data, particulary in the regions of magicity, including the regions of the "remote" nuclei.