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Expansion of bound state energies in powers of m/M and (1-m/M)

Ian Blokland·Andrzej Czarnecki·Kirill Melnikov
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Abstract

Elaborating on a previous letter, we use a new approach to compute energy levels of a non-relativistic bound-state of two constituents, with masses m and M, by systematic expansions - one in powers of m/M and another in powers of (1-m/M). Technical aspects of the calculations are described in detail. Theoretical predictions are given for O(alpha(Z*alpha)^5) radiative recoil and O((Z*alpha)^6) pure recoil corrections to the average energy shift and hyperfine splitting relevant for hydrogen, muonic hydrogen, and muonium.

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Ian Blokland, Andrzej Czarnecki, Kirill Melnikov. 2001-12-19. Expansion of bound state energies in powers of m/M and (1-m/M). https://doi.org/10.1103/physrevd.65.073015

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