Neutrinoless double beta decay the nuclear matrix elements revisited
EntityUAM. Departamento de Física Teórica
PublisherElsevier B.V.; IOP Publishing Ltd.
10.1088/1742-6596/312/7/072005Journal of Physics: Conference Series 312.7 (2011): 072005
ISSN1742-6588 (print); 1742-6596 (online)
Funded byThis work is partly supported by the Spanish Ministry of Ciencia e Innovación under grant FPA2009-13377, by the Comunidad de Madrid (Spain) project HEPHACOS S2009/ESP-1473, by the IN2P3(France)-CICyT(Spain) collaboration agreements, by the DFG through grant SFB 634 [J.M.], and by the Helmholtz Association through the Helmholtz Alliance Program, contract HA216/EMMI “Extremes of Density and Temperature: Cosmic Matter in the Laboratory”[J.M.]
ProjectComunidad de Madrid. S2009/ESP-1473/HEPHACOS
Rights© Copyright 2011 Elsevier B.V.
We explore the influence of the deformation on the nuclear matrix elements of the neutrinoless double beta decay (NME), concluding that the difference in deformation -or more generally in the amount of quadrupole correlations- between parent and grand daughter nuclei quenches strongly the decay. We correlate these differences with the seniority structure of the nuclear wave functions. In this context, we examine the present discrepancies between the NME's obtained in the framework of the Interacting Shell Model and the Quasiparticle RPA. In our view, part of the discrepancy can be due to the limitations of the spherical QRPA in treating nuclei which have strong quadrupole correlations. We surmise that the NME's in a basis of generalized seniority are approximately model independent, i. e. they are "universal". We discuss as well how varies the nuclear matrix element of the 76Ge decay when the wave functions of the two nuclei involved in the transition are constrained to reproduce the experimental occupancies. In the Interacting Shell Model description the value of the NME is enhanced about 15% compared to previous calculations, whereas in the QRPA the NME's are reduced by 20%-30%. This diminishes the discrepancies between both approaches. In addition, we update the effects of the short range correlations on the NME's in the light of the recently proposed parametrizations obtained by renormalizing the 0νββ transition operator at the same footing than the effective interaction
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