$0νββ$ nuclear matrix elements and the occupancy of individual orbits

Details $0νββ$ nuclear matrix elements and the occupancy of individual orbits $0νββ$ nuclear matrix elements and the occupancy of individual orbits

2008-12-01

arxiv.org/abs/0812.0348v1

Phys.Rev.C79:015502,2009

Physics

Nuclear Physics

Nuclear Theory

9 pages, 6 figures

Scientific paper

10.1103/PhysRevC.79.015502

The measured occupancies of valence orbits in $^{76}$Ge and $^{76}$Se are used as a guideline for modification of the effective mean field energies that results in better description of these quantities. With them, in combination with the selfconsitent renormalized quasiparticle random phase approximation (SRQRPA) method that ensures conservation of the mean particle number in the correlated ground state, we show that the resulting $0\nu\beta\beta$ nuclear matrix element for the $^{76}$Ge $\to$ $^{76}$Se transition is reduced by $\sim$25% compared to the previous QRPA value, and therefore the difference between the present approach and the interacting shell model predictions becomes correspondingly smaller. Analogous modification of the mean field energies for the A=82 system also results in a reduction of $0\nu\beta\beta$ matrix element for the $^{82}$Se $\to$ $^{82}$Kr transition, making it also closer to the shell model prediction.

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