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RESEARCH PRODUCT

Radiative muon capture on 12C and 16O

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Abstract We study exclusive radiative muon capture on 12 C(g.s.) leading to 12 B(g.s.), and on 16 O(g.s.) leading to 16 N(0 − , 120 keV). Our 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). We calculate several correlation observables 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 12 C the polarization and alignment of the 12 B final state are very sensitive to the induced pseudoscalar and to weak electricity couplings. We also estimate the influence of the nuclear medium on the pion propagator in the induced pseudoscalar form factor. At least for 16 O the effect is important but does not change the qualitative behaviour of the observables.