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 c apture on C-12, O-16, and Ca-40. We reproduce the experimental total c apture rates on these nuclei to better than 10% using tile free nucleo n weak form factors and two different residual interactions. However, the calculated rates for the same residual interactions are significan tly lower than the data if the in-medium quenching of the axial-vector coupling constant is employed.