Correlations Between Neutrinoless Double-Beta, Double Gamow-Teller and Double-Magnetic Decays in the pnQRPA Framework

TL;DR

This study investigates the relationships between neutrinoless double-beta decay and related nuclear processes using the pnQRPA framework, revealing strong linear correlations that could aid in constraining nuclear matrix elements with future measurements.

Contribution

The paper demonstrates significant linear correlations between $0 uetaeta$ decay matrix elements and other nuclear transition processes within the pnQRPA framework, across a range of pairing strengths.

Findings

Good linear correlations between $0 uetaeta$ and DGT matrix elements.

Good linear correlations between $0 uetaeta$ and M1M1 matrix elements.

Potential to constrain $0 uetaeta$ decay matrix elements with future measurements.

Abstract

We explore the relation between the nuclear matrix elements of neutrinoless double-beta ($0\nu\beta\beta$) decay and two other processes: double Gamow-Teller (DGT) and double-magnetic dipole (M1M1) transitions, with focus on medium-mass to heavy nuclei studied with the proton-neutron quasiparticle random-phase approximation (pnQRPA) framework. We explore a wide span of isoscalar proton-neutron pairing strengths covering the typical range of values that describe well $\beta$- and two-neutrino $\beta\beta$-decay data. Our results indicate good linear correlations between $0\nu\beta\beta$ and both DGT and M1M1 matrix elements. Together with future measurements of DGT and M1M1 transitions, these correlations could help constrain the values of the $0\nu\beta\beta$-decay nuclear matrix elements.