Engel, J. and Vogel, P. and Zirnbauer, M. R. (1988) Nuclear structure effects in double-beta decay. Physical Review C, 37 (2). pp. 731-746. ISSN 0556-2813. http://resolver.caltech.edu/CaltechAUTHORS:ENGprc88
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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.
|Additional Information:||©1988 The American Physical Society Received 8 June 1987 We would like to acknowledge useful discussions with G. E. Brown, S.E. Koonin, and J. P. Vary. One of the authors (P.V.) would like to thank Prof. H.C. Pauli and Prof. H.A. Weidenmüller for the warm hospitality extended to him at the Max-Planck-Institut für Kernphysik in Heidelberg, where parts of this manuscript were written. This work was supported by the U.S. Department of Energy under Contract No. DE-AS03-81ER40002 and by the National Science Foundation under Grants PHY86-04197 and PHY85-05682.|
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