QED theory of the normal mass shift in few-electron atoms

Abstract

The electron-electron interaction correction of first order in $1/Z$ to the one-electron part of the nuclear recoil effect on binding energies in atoms and ions is considered within the framework of the rigorous QED approach. The calculations to all orders in $\alpha Z$ are performed for the $1s^2$ state in heliumlike ions and the $1s^{2}2s$ and $1s^{2}2p_{1/2}$ states in lithiumlike ions in the range $Z=5$--$100$. The results obtained are compared with the Breit-approximation values. The performed calculations complete a systematic treatment of the QED nuclear recoil effect up to the first order in $1/Z$. The correction obtained is combined with the previously studied two-electron part as well as the higher-order electron-correlation corrections evaluated within the Breit approximation to get the total theoretical predictions for the mass shifts.

arXiv comment17 ages, 9 tables, 10 figures. arXiv admin note: text overlap with arXiv:1903.09733

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Cited by in corpus (5)

• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• Ab initio calculations of the $2p_{3/2}\to 2s$ transition in He-, Li-, and Be-like uranium
• Ab initio MCDHF calculations of the In and Tl electron affinities and their isotope shifts
• Isotope-shift factors with quantum electrodynamics effects for many-electron systems: A study of the nuclear charge radius of ${}^{26m}$Al
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions