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

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Published Article
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DOI: 10.1088/0954-3899/37/5/055108
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arXiv
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.