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Showing papers by "Petr Vogel published in 1988"


Journal ArticleDOI
TL;DR: Using the quasiparticle random phase approximation, the nuclear matrix elements governing two-neutrino and neutrinoless double-beta decay are calculated and it is shown that a consistent treatment, including both particle-hole and particle-particle interactions, helps to resolve the longstanding discrepancy between experimental and calculated two-NEUTrino decay rates.
Abstract: Using the quasiparticle random phase approximation, we calculate the nuclear matrix elements governing two-neutrino and neutrinoless double-beta decay. We show that a consistent treatment, including both particle-hole and particle-particle interactions, helps to resolve the longstanding discrepancy between experimental and calculated two-neutrino decay rates. The particle-particle force, which allows us to bring calculated EC/β+ decay rates in semimagic nuclei into closer agreement with experiment, is in large part responsible for suppressing calculated two-neutrino decay rates that are otherwise too fast. We test the validity of our procedure by comparing quasiparticle random phase approximation results with exact solutions for a solvable model, in which the suppression of two-neutrino decay by the particle-particle interaction is confirmed. We then extend our approach to the neutrinoless decay associated with a finite Majorana neutrino mass and, conceivably, with majoron emission, and demonstrate that the nuclear matrix elements governing these processes are also suppressed. We present predicted half-lives for both two-neutrino and neutrinoless double-beta decay in several candidate nuclei, and discuss the difficulties associated with the calculation of such highly suppressed quantities.

199 citations


Journal ArticleDOI
TL;DR: In this article, the double Gamow-Teller and Fermi operators were derived and the GT sum rule was shown to be exact when additional symmetries, isospin and SU(4) invariance, hold.

40 citations


Journal ArticleDOI
TL;DR: The double beta decay of a model f-shell nucleus designed to simulate real, heavier, double-beta decay candidates is calculated exactly and in the Quasiparticle Random Phase Approximation (QRPA) as mentioned in this paper.

30 citations