Deformation and the Nuclear Matrix Elements of the Neutrinoless Double Beta Decay

Details Deformation and the Nuclear Matrix Elements of the Neutrinoless Double Beta Decay Deformation and the Nuclear Matrix Elements of the Neutrinoless Double Beta Decay

2008-09-12

arxiv.org/abs/0809.2183v1

Physics

Nuclear Physics

Nuclear Theory

To appear in the Proceedings of the Enrico Fermi School 2008, "Measuring the Neutrino Mass"

Scientific paper

In this talk I will review the "state of the art" of the calculations of the nuclear matrix elements (NME) of the neutrinoless double beta decays for the nuclei 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te and 136Xe in the framework of the Interacting Shell Model (ISM), and compare them with the NME's obtained using the Quasi-particle RPA approach (QRPA). I will also discuss the effect of the competition between the pairing and quadrupole correlations in the value of these NME's. In particular I will show that, as the difference in deformation between parent and grand daughter grows, the NME's of both the neutrinoless and the two neutrino modes decrease rapidly.

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