Journal
10TH INTERNATIONAL SPRING SEMINAR ON NUCLEAR PHYSICS: NEW QUESTS IN NUCLEAR STRUCTURE
Volume 267, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-6596/267/1/012058
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Funding
- Spanish Ministry of Ciencia e Innovacion [FPA2009-13377]
- Comunidad de Madrid (Spain) project HEPHACOS [S2009/ESP-1473]
- IN2P3(France)-CICyT(Spain)
- DFG [SFB 634]
- Helmholtz Association through the Helmholtz Alliance Program [HA216/EMMI]
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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.
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