Elementary-particle treatment of the radiative muon capture in 12C

We consider radiative muon capture to a definite nuclear final state. The example chosen is the 12C(0+T=0)(μ-,#betta##betta#)12B(1+T=1) transition. The elementary particle treatment adopted in this work discloses several aspects of the reaction mechanism, which remain hidden in the usual impulse approximation calculations. In particular, one sees a considerable enhancement of the capture rate when the q2 dependence of the weak form factors Fsub(A)(q2) and Fsub(P)(q2) is taken into account. The branching ratio of the radiative capture in the region sensitive to the possibly non-zero mass msub(#bettaμ#) of the muon-neutrino is estimated to be proportional 1.36 X 10-10. (orig.)