SMMC method for two-neutrino double beta decay

Details SMMC method for two-neutrino double beta decay SMMC method for two-neutrino double beta decay

1995-10-25

arxiv.org/abs/nucl-th/9510052v1

Phys.Rev.Lett. 76 (1996) 2642-2645

Physics

Nuclear Physics

Nuclear Theory

10 pages, 3 figures available at http://www.krl.caltech.edu/preprints/MAP.html

Scientific paper

10.1103/PhysRevLett.76.2642

Shell Model Monte Carlo (SMMC) techniques are used to calculate two-neutrino double beta decay matrix elements. We validate the approach against direct diagonalization for $^{48}$Ca in the complete $pf$-shell using the KB3 interaction. The method is then applied to the decay of $^{76}$Ge in the $(0f_{5/2},1p,0g_{9/2})$ model space using a newly calculated realistic interaction. Our result for the matrix element is $0.13\pm0.05$ MeV$^{-1}$, in agreement with the experimental value.

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