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Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$

V. M. Shabaev·V. A. Yerokhin
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Abstract

The nuclear recoil correction to the bound-electron g factor in H-like atoms is calculated to first order in $m/M$ and to all orders in $\alpha Z$. The calculation is performed in the range Z=1-100. A large contribution of terms of order $(\alpha Z)^5$ and higher is found. Even for hydrogen, the higher-order correction exceeds the $(\alpha Z)^4$ term, while for uranium it is above the leading $(\alpha Z)^2$ correction.

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V. M. Shabaev, V. A. Yerokhin. 2001-10-19. Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$. https://doi.org/10.1103/physrevlett.88.091801

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