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Effective summation over intermediate states in double-beta decay

Engel, J. and Haxton, W. C. and Vogel, P. (1992) Effective summation over intermediate states in double-beta decay. Physical Review C, 46 (6). R2153-R2157. ISSN 0556-2813. doi:10.1103/PhysRevC.46.R2153.

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We consider two separate schemes for eliminating the explicit summation over states in the intermediate nucleus in double-beta decay. The first, known as the operator expansion method, has recently been applied in several calculations; we show in a variety of simple models that the method fails and isolate its weaknesses. We then describe an efficient technique for generating Green’s function matrix elements, based on the Lanczos algorithm, and apply it to a full fp-shell calculation in 48Ca. The method efficiently generates an exact (to within machine accuracy) result while the operator expansion method is again inaccurate.

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Vogel, P.0000-0003-0587-5466
Additional Information:©1992 The American Physical Society Received 24 July 1992 This work was supported in part by the National Science Foundation un der Grant No. PHY-9108011, by the U.S. Department of Energy under Contract No. DE-F603-88ER-40397, and through the Institute for Nuclear Theory in Seattle, where part of this work was conducted.
Issue or Number:6
Record Number:CaltechAUTHORS:ENGprc92
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2678
Deposited By: Archive Administrator
Deposited On:16 Apr 2006
Last Modified:08 Nov 2021 19:50

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