Radiative muon capture on 12C and 16O

The authors study exclusively radiative muon capture on 12C(g.s.) leading to 12B(g.s.), and on 16O(g.s.) leading to 16N(0-, 120 keV). The investigation, which is based on impulse approximation, puts special emphasis on elementary particle aspects of radiative capture, such as tests of magnitude and momentum transfer dependence of the induced pseudoscalar, and possible contributions of axial currents of second kind (weak electricity). Several correlation observables are calculated which are sensitive to the nucleonic currents but depend very little on the structure of the nuclear initial and final states. In particular, it is shown that in capture on 12C the polarization and alignment of the 12B final state are very sensitive to the induced pseudoscalar and to weak electricity couplings. The influence of the nuclear medium on the pion propagator in the induced pseudoscalar form factor is also estimated. At least for 16O the effect is important but does not change the qualitative behaviour of the observables. (Auth.)