Relativistic recoil corrections to the atomic energy levels
Abstract
The quantum electrodynamic theory of the nuclear recoil effect in atoms to all orders in α Z and to first order in m/M is considered. The complete α Z - dependence formulas for the relativistic recoil corrections to the atomic energy levels are derived in a simple way. The results of numerical calculations of the recoil effect to all orders in α Z are presented for hydrogenlike and lithiumlike atoms. These results are compared with analytical results obtained to lowest orders in α Z. It is shown that even for hydrogen the numerical calculations to all orders in α Z provide most precise theoretical predictions for the relativistic recoil correction of first order in m/M.
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