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Muon capture on nuclei with N>Z, random phase approximation, and in-medium value of the axial-vector coupling constant

Kolbe, E. and Langanke, K. and Vogel, P. (2000) Muon capture on nuclei with N>Z, random phase approximation, and in-medium value of the axial-vector coupling constant. Physical Review C, 62 (5). Art. No. 055502. ISSN 0556-2813. http://resolver.caltech.edu/CaltechAUTHORS:KOLprc00

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Abstract

We use the random phase approximation to describe the muon capture rate on 44Ca, 48Ca, 56Fe, 90Zr, and 208Pb. With 40Ca as a test case, we show that the continuum random phase approximation (CRPA) and the standard RPA give essentially equivalent descriptions of the muon capture process. Using the standard RPA with the free nucleon weak form factors we reproduce the experimental total capture rates on these nuclei quite well. Thus, unlike the allowed β decays, with very small momentum transfer and exclusively the 1+ multipole, the muon capture rate, with momentum transfer of approximately muon mass magnitude, and a mixture of multipoles (dominated by 1-), does not require any quenching of the axial-vector coupling constant.


Item Type:Article
Additional Information:©2000 The American Physical Society Received 6 June 2000; published 9 October 2000 This work was supported in part by the Swiss National Science Foundation, the Danish Research Council, and by the U.S. Department of Energy, Contract No. DE-F603-88ER-40397.
Record Number:CaltechAUTHORS:KOLprc00
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KOLprc00
Alternative URL:http://dx.doi.org/10.1103/PhysRevC.62.055502
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6343
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:04 Dec 2006
Last Modified:26 Dec 2012 09:20

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