Engel, J. and Vogel, P. (2004) Effective operators for double-beta decay. Physical Review C, 69 (3). Art. No. 034304. ISSN 0556-2813. http://resolver.caltech.edu/CaltechAUTHORS:ENGprc04
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We use a solvable model to examine double-beta decay, focusing on the neutrinoless mode. After examining the ways in which the neutrino propagator affects the corresponding matrix element, we address the problem of finite model-space size in shell-model calculations by projecting our exact wave functions onto a smaller subspace. We then test both traditional and more recent prescriptions for constructing effective operators in small model spaces, concluding that the usual treatment of double-beta-decay operators in realistic calculations is unable to fully account for the neglected parts of the model space. We also test the quality of the quasiparticle random phase approximation and examine a recent proposal within that framework to use two-neutrino decay to fix parameters in the Hamiltonian. The procedure eliminates the dependence of neutrinoless decay on some unfixed parameters and reduces the dependence on model-space size, though it does not eliminate the latter completely.
|Additional Information:||©2004 The American Physical Society (Received 20 November 2003; published 2 March 2004) We thank J. N. Ginocchio, K. T. Hecht, and T. Luu for helpful discussions. This work was supported in part by the U.S. Department of Energy under Grant Nos. DE-FG02-02ER41216 and DE-FG02-88ER-40397.|
|Subject Keywords:||SO groups; mathematical operators; double beta decay; nuclear shell model; wave functions; RPA calculations; nuclei with mass number 59 to 89|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||06 Apr 2006|
|Last Modified:||26 Dec 2012 08:49|
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