The neutrinoless double- () 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 decay and the DGT transition is demonstrated. This linear correlation is found to originate from the similarity of the leading-order term of the -decay operator and the DGT-transition one, as revealed by expanding the -decay operator in terms of the spherical harmonics. The present results provide a strong support to constrain the -decay NMEs through the double charge-exchange reactions.

中文翻译：

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无中微子双β衰变与双伽莫夫-泰勒跃迁之间的相关性


利用最先进的相对论构型相互作用密度泛函理论研究了无中微子双 () 衰变和双伽莫夫-泰勒 (DGT) 跃迁。衰变的核基质元素 (NME) 与 DGT 转变之间存在很强的线性相关性。发现这种线性相关性源于 - 衰变算子的前导项与 DGT 转换项的相似性，正如通过球谐函数扩展 - 衰变算子所揭示的那样。目前的结果为通过双电荷交换反应限制衰变NME提供了强有力的支持。