Depolarization theory for anomalous muonium under fast diffusion

The theory of muon depolarization in anomalous muonium under fast muon diffusion and fast tensor relaxation of an electron spin has been developed. It is shown that experimental data obtained for silicon in longitudinal magnetic fields are described both by a tensor version of the theory at fixed parameters of an anomalous muonium and by a ''scalar'' version in the assumption of the strong temperature dependence of the superhyperfine interaction value in an anomalous muonium. To clarify the question on the tensor relaxation existence, one needs measuremnts of the polarization damping rate dependence on the monocrystal orientation in strong transverse magnetic fields