OBSERVABLES IN MUON-CAPTURE ON NA-23 AND THE EFFECTIVE WEAK COUPLINGS(G)OVER-TILDE(A) AND (G)OVER-TILDE(P)

We report measurements of capture rates and hyperfine dependences in m uon capture on Na-23 to various states in Ne and F isotopes. We also r eport comparisons of the capture rates and hyperfine dependences for s ix Na-23 --> Ne-23 transitions with the 1s-0d shell model with the emp irical effective interaction of Brown and Wildenthal and the realistic effective interaction of Kuo and Brown. Fits to the data with the Bro wn and Wildenthal interaction yield an effective coupling (g) over til de(a) = -1.01 +/- 0.07 and an effective coupling ratio (g) over tilde( p)/(g) over tilde(a) = 6.5 +/- 2.4. The value of (g) over tilde(a) is consistent with values of (g) over tilde(a) extracted from beta(+)/bet a(-) decay and (p,n)/(n,p) charge exchange data, and the value of (g) over tilde(p)/(g) over tilde(a) is consistent with the predictions of PCAC and pion-pole dominance. We evaluate the nuclear model dependence of these values of (g) over tilde(a) and (g) over tilde(p)/(g) over t ilde(a) and examine the role of the Gamow-Teller and other matrix elem ents in the Na-23 --> Ne-23 transitions.