Hyperfine Splitting Effects in the Capture of Polarizedμ−Mesons

Abstract

We investigate the effect of the hyperfine splitting of $\ensuremath{\mu}$-mesic atom ground states on the neutron asymmetry from muon capture in hydrogen, in deuterium, and in complex nuclei with spin which are treated by a one-particle model. It is shown that this can provide more information on the capture interaction than the neutron asymmetry from spinless nuclei. Muon polarizations and gyromagnetic ratios in the hyperfine states are also discussed.