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Recoil corrections to the energy levels of hydrogenic atoms
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abstract
We have completed the calculation of pure-recoil corrections of order $(Z \alpha)^6$ to Coulombic bound states of two spin-1/2 fermions without approximation in the particle masses. Our result applies to systems of arbitrary mass ratio such as muonium and positronium, and also hydrogen and muonic hydrogen (with the neglect of proton structure effects). We have shown how the two-loop master integrals that occur in the relativistic region can be computed in analytic form, and suggest that the same method can be applied to the three-loop integrals that would be present in a calculation of order $(Z \alpha)^7$ corrections.
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Cited by 1 Pith paper
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One more radiative-recoil correction to the Lamb shift in muonium
The muon-line radiative-recoil correction to the muonium Lamb shift at order α^6(m/M)^2 m is found to be π² times the common prefactor, replacing a previously quoted (139/32−2 ln2) coefficient.
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