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The neutrinoless double- (0) 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 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-decay operator and the DGT-transition one, as revealed by expanding the 0-decay operator in terms of the spherical harmonics. The present results provide a strong support to constrain the 0-decay NMEs through the double charge-exchange reactions.
Wang et al. (Fri,) studied this question.
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