Abstract
Previous avoided level-crossing experiments have revealed the microscopic structure of the paramagnetic anomalous muonium state in silicon: in addition to the axially symmetric hyperfine interaction along a (1, 1, 1) axis, distinct orientation-dependent superhyperfine interactions with first and second nearest neighbour 29Si nuclei have been observed. Here we report a theoretical study of the influence of further distant 29Si nuclei. Their contribution to the field dependence of the time-integrated longitudinal polarization function is investigated. The appearance of additional resonances is discussed and their locations as a function of field strength are calculated analytically by perturbation theory as well as numerically.