Abstract
Two approximate methods for evaluating the hyperfine splitting in the ground state of muonic helium are extended to states in which the muon (but not the electron) is excited. Simple, analytic expressions are given correct to first order in the electron-muon mass ratio, for any state and for both 4He and3He. The result agrees with the value given by Amusia et al. (1983) for the 4He 2s state.
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