Deformed shell model results for two neutrino positron double beta decay of $^{74}$Se

TL;DR

This paper calculates the half-lives of two neutrino positron double beta decay modes in $^{74}$Se using a deformed shell model, predicting a half-life of around 10^{26} years for the ECEC mode, which could be observed with improved experimental sensitivity.

Contribution

The study introduces deformed shell model calculations for positron double beta decay in $^{74}$Se, providing new theoretical half-life estimates relevant for experimental detection.

Findings

Estimated half-life for ECEC mode is ~10^{26} years.

Potential for experimental observation with improved sensitivity.

Demonstrates applicability of deformed shell model to decay calculations.

Abstract

Half-lives $T_{1/2}^{2\nu}$ for two neutrino positron double beta decay modes $\beta^{+}$EC/ECEC are calculated for $^{74}$Se, a nucleus of current experimental interest, using deformed shell model based on Hartree-Fock states employing a modified Kuo interaction in ($^{2}p_{3/2}$, $^{1}f_{5/2}$, $^{2}p_{1/2}$, $^{1}g_{9/2}$) space. The calculated half-life for the ECEC mode is $\sim 10^{26}$yr and it may be possible to observe this in the near future with improved sensitivity of experiments.