Muon capture on nuclei with N>Z, random phase approximation, and in-medium value of the axial-vector coupling constant
Journal Article
·
· Physical Review C
We use the random phase approximation to describe the muon capture rate on {sup 44}Ca, {sup 48}Ca, {sup 56}Fe, {sup 90}Zr, and {sup 208}Pb. With {sup 40}Ca 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 {beta} decays, with very small momentum transfer and exclusively the 1{sup +} multipole, the muon capture rate, with momentum transfer of approximately muon mass magnitude, and a mixture of multipoles (dominated by 1{sup -}), does not require any quenching of the axial-vector coupling constant.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40206092
- Journal Information:
- Physical Review C, Journal Name: Physical Review C Journal Issue: 5 Vol. 62; ISSN 0556-2813
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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