论文标题

从头算在48CA,76GE和82SE

Ab initio neutrinoless double-beta decay matrix elements for 48Ca, 76Ge, and 82Se

论文作者

Belley, A., Payne, C. G., Stroberg, S. R., Miyagi, T., Holt, J. D.

论文摘要

我们计算基于最轻候选者的基础空间融合中微子$ββ$衰减核基质元素:48CA,76GE和82SE。从最初的两种和三个核子力开始,我们将Ab Inlibil相似性重归其化组应用于构建价空间的哈密顿量,并始终转换$ββ$ -DECAY运算符。我们发现,张量成分在76GE和82SE中不可忽略,并且由此产生的核基质元件总体比从现象学壳模型中获得的核基质元素总比例小25-45%。尽管最终具有不确定性的矩阵元素仍需要实质性的发展,但这项工作仍然为中性s $β$衰减的真实第一原理计算开辟了一条途径,这与正在进行的大规模搜索有关。

We calculate basis-space converged neutrinoless $ββ$ decay nuclear matrix elements for the lightest candidates: 48Ca, 76Ge and 82Se. Starting from initial two- and three-nucleon forces, we apply the ab initio in-medium similarity renormalization group to construct valence-space Hamiltonians and consistently transformed $ββ$-decay operators. We find that the tensor component is non-negligible in 76Ge and 82Se, and resulting nuclear matrix elements are overall 25-45% smaller than those obtained from the phenomenological shell model. While a final matrix element with uncertainties still requires substantial developments, this work nevertheless opens a path toward a true first-principles calculation of neutrinoless $ββ$ decay in all nuclei relevant for ongoing large-scale searches.

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