Muon capture, continuum random phase approximation, and in-medium renormalization of the axial-vector coupling constant
We use the continuum random phase approximation to describe the muon capture on 12C,16O, and 40Ca. We reproduce the experimental total capture rates on these nuclei to better than 10% using the free nucleon weak form factors and two different residual interactions. However, the calculated rates for the same residual interactions are significantly lower than the data if the in-medium quenching of the axial-vector coupling constant is employed.
©1994 The American Physical Society Received 31 May 1994 We would like to thank Professor Magda Ericson for discussions, in particular about the role of the pseudoscalar coupling. This work was supported in part by the National Science Foundation, Grant No. PHY91-15574, and by the U.S. Department of Energy, Contract NO. DE-F603-88ER-40397.