Muon Capture by Deuterons

Rates of muon capture from the separate $\mu d$ hyperfine states are computed. The dependence of the measurement of effective coupling constants on the neutron energy is explicitly demonstrated. The calculation of the neutron energy spectra includes mainly the following refinements: (1) use of two-nucleon wave functions with hard core, (2) corrections for the target-proton momentum, and (3) inclusion of certain induced pseudoscalar terms. The capture rates obtained are 334 and 15 ${\sec }^{-1\mathrm{}}$ for the $\mu d$ doublet and quartet states, respectively.