arXiv 1206.04642012-06-03nucl-th

无中微子双β衰变和双电子俘获的核矩阵元

Nuclear matrix elements for neutrinoless double-beta decay and double-electron capture

Amand Faessler, Vadim Rodin, Fedor Simkovic

备注：: 24 pages; 80 references. arXiv admin note: substantial text overlap with arXiv:1101.2149
DOI：: 10.1088/0954-3899/39/12/124006

摘要：

目前正在设计和建造新一代灵敏度得到提高的无中微子双β衰变实验。他们将探测中微子质量模式的倒置层次区域。共振无中微子双电子俘获也引起了人们的兴趣，它也有可能探测轻子数守恒和研究中微子的性质和质量尺度。主要关注的是核基质元素。显然，从测量的0νββ衰变半衰期确定有效马约拉纳中微子质量的准确性主要取决于我们对核矩阵元的了解。本文综述了准粒子无规相近似下0νββ和0νECEC核矩阵元计算的最新进展。一个考虑自洽的方法允许从相同的现代现实的核子-核子势导出配对，剩余相互作用和两个核子的短程关联。考虑了核形变的影响。讨论了唯象地计算0νββ衰变矩阵元的可能性。

英文摘要：

A new generation of neutrinoless double beta decay experiments with improved sensitivity is currently under design and construction. They will probe inverted hierarchy region of the neutrino mass pattern. There is also a revived interest to the resonant neutrinoless double-electron capture, which has also a potential to probe lepton number conservation and to investigate the neutrino nature and mass scale. The primary concern are the nuclear matrix elements. Clearly, the accuracy of the determination of the effective Majorana neutrino mass from the measured 0νββ-decay half-life is mainly determined by our knowledge of the nuclear matrix elements. We review recent progress achieved in the calculation of 0νββand 0νECEC nuclear matrix elements within the quasiparticle random phase approximation. A considered self-consistent approach allow to derive the pairing, residual interactions and the two-nucleon short-range correlations from the same modern realistic nucleon-nucleon potentials. The effect of nuclear deformation is taken into account. A possibility to evaluate 0νββ-decay matrix elements phenomenologically is discussed.

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