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arXiv · 0906.0179

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

J. Menéndez·A. Poves·E. Caurier·F. Nowacki
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Abstract

We discuss the variation of the nuclear matrix element (NME) for the neutrinoless double beta ($0νββ$) 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 $0νββ$ transition operator.

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J. Menéndez, A. Poves, E. Caurier, F. Nowacki. 2009-05-31. The occupancies of individual orbits and the nuclear matrix element of the $^{76}$Ge neutrinoless $ββ$ decay. https://doi.org/10.1103/physrevc.80.048501

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