arXiv 1208.19922012-08-09nucl-th

原子核结构与双β衰变

Nuclear structure and double beta decay

Petr Vogel

备注：: Review paper accepted for publication in the special issue of J. Phys. G: Nucl. Phys. devoted to the double beta decay
DOI：: 10.1088/0954-3899/39/12/124002

摘要：

对无中微子双β衰变的研究，包括原子核结构理论的各种问题。在此对其进行审查。问题的范围从衰变的机制，即交换轻的马约拉纳中微子中微子与交换一些重的，迄今尚未观察到的粒子。其次，适当的表达式为相应的运营商应包括核子大小的影响和反冲序项的强子电流。还讨论了如何正确处理短程关联，特别是重粒子交换的问题。这些天在核基质元素$M^{0ν}$的理论评价中采用的各种方法进行了简要描述，并讨论了造成扩散的困难，因此$M^{0ν}$的值的不确定性。最后讨论了轴向电流猝灭和双电子俘获情况下共振增强的问题。

英文摘要：

Study of the neutrinoless double beta decay, $0νββ$, includes a variety of problems of nuclear structure theory. They are reviewed here. The problems range from the mechanism of the decay, i.e. exchange of the light Majorana neutrino neutrino versus the exchange of some heavy, so far unobserved particle. Next, the proper expressions for the corresponding operator are described that should include the effects of the nucleon size and of the recoil order terms in the hadronic current. The issue of proper treatment of the short range correlations, in particular for the case of the heavy particle exchange, is discussed also. The variety of methods employed these days in the theoretical evaluation of the nuclear matrix elements $M^{0ν}$ is briefly described and the difficulties causing the spread and hence uncertainty in the values of $M^{0ν}$ are discussed. Finally, the issue of the axial current quenching, and of the resonance enhancement in the case of double electron capture are described.

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