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Testing the importance of collective correlations in neutrinoless beta beta decay

机译：测试中微子β衰减中集体相关性的重要性

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We investigate the extent to which theories of collective motion can capture the physics that determines the nuclear matrix elements governing neutrinoless double-beta decay. To that end we calculate the matrix elements for a series of isotopes in the full pf shell, omitting no spin-orbit partners. With the inclusion of isoscalar pairing, a separable collective Hamiltonian that is derived from the shell model effective interaction reproduces the full shell-model matrix elements with good accuracy. A version of the generator coordinate method that includes the isoscalar pairing amplitude as a coordinate also reproduces the shell model results well, an encouraging result for theories of collective motion, which can include more single-particle orbitals than the shell model. We briefly examine heavier nuclei relevant for experimental double-beta decay searches, in which shell-model calculations with all spin-orbit partners are not feasible; our estimates suggest that isoscalar pairing also plays a significant role in these nuclei, though one we are less able to quantify precisely.
机译：我们研究了集体运动理论的程度可以捕获确定控制中性抑制双β腐烂的核基质元素的物理学。为此，我们计算完整PF壳中的一系列同位素的矩阵元素，省略了旋转轨道伴侣。随着ISOSCALAR配对的含义，从壳模型有效交互导出的可分离集体汉密尔顿母汉密尔顿人以良好的准确性再现全壳模型矩阵元素。包括ISOSCALAR配对幅度作为坐标的发电机坐标方法的版本也再现壳模型结果，这是集体运动理论的令人愉快的结果，其可以包括比壳模型更多的单粒子轨道。我们简要仔细检查了对实验双β衰变搜索相关的较重的核，其中所有旋转轨道伙伴的壳模型计算是不可行的;我们的估计表明，ISOSCALAR配对在这些核中也发挥着重要作用，尽管我们不太能够精确量化。

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