Shell-model study of $\beta^+$/EC-decay half-lives for $Z = 21-30$ nuclei

TL;DR

This study uses large-scale shell-model calculations to predict $eta^+$/EC-decay half-lives for nuclei with atomic numbers 21 to 30, comparing results with experimental data and discussing nuclear structure details.

Contribution

It provides new shell-model calculations of decay properties for $Z=21$ to 30 nuclei using specific effective interactions and reports quenching factors, expanding understanding of proton-rich nuclei in this region.

Findings

Reasonable agreement with experimental half-lives.

Calculated excitation energies and logft values.

Reported quenching factors for effective interactions.

Abstract

In the present work, we have reported $\beta^+$/EC-decay half-lives for $Z = 21 -30$ nuclei using large-scale shell-model. %and N $\leq$ A recent study shows that some proton-rich nuclei in this region belong to the island of inversion. We have performed calculations for these nuclei using KB3G effective interaction, while for Ni, Cu, and Zn nuclei we have used JUN45 effective interaction in the $f_{5/2}pg_{9/2}$ model space. The calculated quenching factors for $fp$ and $f_{5/2}pg_{9/2}$ space using KB3G and JUN45 effective interactions are also reported. Shell-model results of $\beta$-decay half-lives, excitation energies, log$ft$ values, and branching fractions are discussed and compared with the available experimental data. We have obtained a reasonable agreement with the available data.