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arXiv · 2207.05108

Neutrinoless $\beta\beta$-decay nuclear matrix elements from two-neutrino $\beta\beta$-decay data

Lotta Jokiniemi·Beatriz Romeo·Pablo Soriano·Javier Menéndez
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Abstract

We study two-neutrino ($2\nu\beta\beta$) and neutrinoless double-$\beta$ ($0\nu\beta\beta$) decays in the nuclear shell model and proton-neutron quasiparticle random-phase approximation (pnQRPA) frameworks. Calculating the decay half-life of several dozens of nuclei ranging from calcium to xenon with the shell model, and of $\beta\beta$ emitters with a wide range of proton-neutron pairing strengths in the pnQRPA, we observe good linear correlations between $2\nu\beta\beta$- and $0\nu\beta\beta$-decay nuclear matrix elements for both methods. We then combine the correlations with measured $2\nu\beta\beta$-decay half-lives to predict $0\nu\beta\beta$-decay matrix elements with theoretical uncertainties based on our systematic calculations. Our results include two-body currents and the short-range $0\nu\beta\beta$-decay operator.

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Lotta Jokiniemi, Beatriz Romeo, Pablo Soriano, Javier Menéndez. 2022-07-11. Neutrinoless $\beta\beta$-decay nuclear matrix elements from two-neutrino $\beta\beta$-decay data. https://doi.org/10.1103/physrevc.107.044305

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