0{nu}{beta}{beta} nuclear matrix elements and the occupancy of individual orbits

Journal Article · Thu Jan 15 04:00:00 EST 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.79.015502· OSTI ID:21199526

Simkovic, Fedor; Faessler, Amand ^[1]; Vogel, Petr ^[2]

---

1. Institute fuer Theoretische Physik der Universitaet Tuebingen, D-72076 Tuebingen (Germany)
2. Kellogg Radiation Laboratory and Physics Department, Caltech, Pasadena, California 91125 (United States)

The measured occupancies of valence orbits in {sup 76}Ge and {sup 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 self-consistent 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 {sup 76}Ge{yields}{sup 76}Se transition is reduced by {approx}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 {sup 82}Se{yields}{sup 82}Kr transition, making it also closer to the shell model prediction.

• OSTI ID: 21199526
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 79; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
FORECASTING
GERMANIUM 76
GROUND STATES
KRYPTON 82
MATRIX ELEMENTS
MEAN-FIELD THEORY
MODIFICATIONS
NUCLEAR MATRIX
NUCLEAR REACTIONS
ORBITS
PARTICLES
RANDOM PHASE APPROXIMATION
REDUCTION
SELENIUM 76
SELENIUM 82
SHELL MODELS
VALENCE