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

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

2007-09-13

arxiv.org/abs/0709.2137v2

Phys.Rev.Lett.100:052503,2008

Physics

Nuclear Physics

Nuclear Theory

4 pages, 3 figures, added discussions

Scientific paper

10.1103/PhysRevLett.100.052503

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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