Abstract
Relativistic and radiative corrections depend on the electron and muon masses only via the explicit mass factors in the electron and muon magnetic moments, and via the reduced mass factor in the Schrödinger wave function. All such corrections may be calculated in the framework of the external field approximation.
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Eides, M.I., Grotch, H., Shelyuto, V.A. (2007). Nonrecoil Corrections to HFS. In: Theory of Light Hydrogenic Bound States. Springer Tracts in Modern Physics, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45270-2_9
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