Quadrupolar correlations and deformation effect on two neutrino $\varepsilon \beta ^{+}$ and $\varepsilon \varepsilon $ modes of $^{156}$Dy isotope

TL;DR

This paper investigates the two-neutrino positron double-beta decay modes of the $^{156}$Dy isotope using a sophisticated nuclear model, focusing on how nuclear deformation influences decay probabilities and transition matrix elements.

Contribution

It introduces a detailed theoretical analysis of $^{156}$Dy decay modes considering quadrupolar deformation effects within the Projected Hartree-Fock-Bogoliubov framework.

Findings

Calculated half-lives for decay modes are provided.

Quadrupolar deformation significantly affects nuclear transition matrix elements.

Results offer insights into nuclear structure and decay mechanisms.

Abstract

The two-neutrino positron double-$\beta $ decay modes of $^{156}$Dy isotope are studied in the Projected Hartree-Fock-Bogoliubov framework for the $0^{+}\to 0^{+}$ transition. Theoretically calculated half-lives of electron-positron conversion and double-electron capture modes are presented. The effect of the quadrupolar deformation on nuclear transition matrix element $M_{2\nu}$ is also investigated.