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arXiv 0709.2137nucl-thhep-ph
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配对对无中微子双β衰变核矩阵元的影响

The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays

E. Caurier, J. Menendez, F. Nowacki, A. Poves

摘要:

本文在相互作用壳层模型框架下研究了无中微子双β衰变核矩阵元的行为。我们用衰变中子对的总角动量和核波函数中的资历截断函数来分析它们。这一观点证明是非常充分的,以衡量不同的原子核结构模型预测的NME的准确性。此外,它还将这一过程中应有的主角地位还给了配对相互作用,这种相互作用是导致双β衰变发射体存在的原因。我们表明,低年资近似,相当于那些隐含在准粒子RPA在球形基础上,往往高估的NME的几个衰变的值。

英文摘要:

We study in this letter the behavior of the neutrinoless double beta decay nuclear matrix elements (NME's) in the framework of the Interacting Shell Model. We analize them in terms of the total angular momentum of the decaying neutron pair and as a function of the seniority truncations in the nuclear wave functions. This point of view turns out to be very adequate to gauge the accuracy of the NME's predicted by different nuclear structure models. In addition, it gives back the due protagonism in this process to the pairing interaction, the interaction which is responsible for the very existence of double beta decay emitters. We show that low seniority approximations, comparable to those implicit in the quasiparticle RPA in an spherical basis, tend to overestimate the values of the NME's in several decays.

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