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We use the random phase approximation to systematically describe the totalmuon capture rates on all nuclei where they have been measured. We reproducethe experimental values on these nuclei to better than 15% accuracy using thefree nucleon weak form factors and residual interactions with a mild $A$dependency. The isospin dependence and the effects associated with shellclosures are fairly well reproduced as well. However, the calculated rates forthe same residual interactions would be significantly lower than the data ifthe in-medium quenching of the axial-vector coupling constant is employed toother than the true Gamow-Teller amplitudes. Our calculation thus suggests thatno quenching is needed in the description of semileptonic weak processesinvolving higher multipole transitions and momentum transfer $\sim m_{\mu}$,with obvious importance to analogous weak processes.Comment: RevTeX4 10 pages, 2 figures. Revised according to referee report.  Table 1 expanded. Accepted for publication in PR

physical review. c. nuclear physics/physical review. c, nuclear physics

Muon capture on nuclei: Random phase approximation evaluation versus data for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>6</mml:mn><mml:mo>⩽</mml:mo><mml:mi mathvariant="normal">Z</mml:mi><mml:mo>⩽</mml:mo><mml:mn>94</mml:mn></mml:mrow></mml:math>nuclei

Muon capture on nuclei: Random phase approximation evaluation versus data for6⩽Z⩽94nuclei