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Muon capture on nuclei: Random phase approximation evaluation versus data for 6<=Z<=94 nuclei

Zinner, N. T. and Langanke, K. and Vogel, P. (2006) Muon capture on nuclei: Random phase approximation evaluation versus data for 6<=Z<=94 nuclei. Physical Review C, 74 (2). Art. No. 024326. ISSN 0556-2813. doi:10.1103/PhysRevC.74.024326.

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We use the random phase approximation to systematically describe the total muon capture rates on all nuclei where they have been measured. We reproduce the experimental values on these nuclei to better than 15% accuracy using the free nucleon weak form factors and residual interactions with a mild A dependency. The isospin dependence and the effects associated with shell closures are fairly well reproduced as well. However, the calculated rates for the same residual interactions would be significantly lower than the experimental data if the in-medium quenching of the axial-vector coupling constant were employed to other than the true Gamow-Teller amplitudes. Our calculation thus suggests that no quenching is needed in the description of semileptonic weak processes involving higher multipole transitions and momentum transfer ~mµ, with obvious importance to analogous weak processes.

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Vogel, P.0000-0003-0587-5466
Additional Information:©2006 The American Physical Society (Received 31 May 2006; published 30 August 2006) P.V. gratefully acknowledges the hospitality at GSI, where part of this work was done.
Issue or Number:2
Record Number:CaltechAUTHORS:ZINprc06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5059
Deposited By: Archive Administrator
Deposited On:25 Sep 2006
Last Modified:08 Nov 2021 20:22

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