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Neutrinoless double-$\beta$ decay and double Gamow-Teller transitions
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abstract
The neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay and the double Gamow-Teller (DGT) transition are investigated with the state-of-the-art Relativistic Configuration-interaction Density functional theory. A strong linear correlation between the nuclear matrix elements (NMEs) of the $0\nu\beta\beta$ decay and the DGT transition is demonstrated. This linear correlation is found to originate from the similarity of the leading-order term of the $0\nu\beta\beta$-decay operator and the DGT-transition one, as revealed by expanding the $0\nu\beta\beta$-decay operator in terms of the spherical harmonics. The present results provide a strong support to constrain the $0\nu\beta\beta$-decay NMEs through the double charge-exchange reactions.
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Cited by 1 Pith paper
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Benchmarking nuclear matrix elements of $0\nu\beta\beta$ decay with high-energy nuclear collisions
Simulations show that flow observables in ultra-central 150Nd+150Nd collisions have Pearson correlations up to |r|=0.93 with the 0νββ nuclear matrix element, proposing collider data as a benchmark for nuclear theory.
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