A simplified calculation of the radiative recoil correction to hydrogenic energy levels in m²/M[{α}(Z{α})⁵/n³] order is presented. The method is based on evaluation of the proton kinetic energy term in the electron state. The result obtained is in disagreement with a previous calculation of Bhatt and Grotch [Ann. Phys. (N.Y.) 178, 1 (1987)]. We also analyze the nuclear self-energy contribution and the corresponding definition of the nuclear mean square charge radius.
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Krzysztof Pachucki (1995) studied this question.
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