The occupancies of individual orbits and the nuclear matrix element of the $^{76}$Ge neutrinoless $ββ$ decay

Details The occupancies of individual orbits and the nuclear matrix element of the $^{76}$Ge neutrinoless $ββ$ decay The occupancies of individual orbits and the nuclear matrix element of the $^{76}$Ge neutrinoless $ββ$ decay

2009-05-31

arxiv.org/abs/0906.0179v1

Phys.Rev.C80:048501,2009

Physics

Nuclear Physics

Nuclear Theory

3 pages, 1 figure

Scientific paper

10.1103/PhysRevC.80.048501

We discuss the variation of the nuclear matrix element (NME) for the neutrinoless double beta ($0\nu\beta\beta$) decay of $^{76}$Ge when the wave functions are constrained to reproduce the experimental occupancies of the two nuclei involved in the transition. 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 discuss effect of the short range correlations on the NME in the light of the recently proposed parametrizations based on a consistent renormalization of the $0\nu\beta\beta$ transition operator.

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