Nuclear recoil effect on the binding energies in highly charged He-like ions

Abstract

The most precise to-date evaluation of the nuclear recoil effect on the $n=1$ and $n=2$ energy levels of He-like ions is presented in the range $Z=12-100$. The one-electron recoil contribution is calculated within the framework of the rigorous QED approach to first order in the electron-to-nucleus mass ratio $m/M$ and to all orders in the parameter $\alpha Z$. The two-electron $m/M$ recoil term is calculated employing the $1/Z$ perturbation theory. The recoil contribution of the zeroth order in $1/Z$ is evaluated to all orders in $\alpha Z$, while the $1/Z$ term is calculated using the Breit approximation. The recoil corrections of the second and higher orders in $1/Z$ are taken into account within the nonrelativistic approach. The obtained results are compared with the previous evaluation of this effect [A. N. Artemyev et al., Phys. Rev. A 71, 062104 (2005)].

25 pages, 3 figures, 5 tables

References in corpus (4)

• Nuclear deformation effect on the binding energies in heavy ions
• Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
• Relativistic corrections to isotope shift in light ions
• Multiconfiguration calculations of electronic isotope shift factors in Zn I

Cited by in corpus (12)

• QED tests with highly-charged ions
• QED calculations of the $n=2$ to $n=1$ x-ray transition energies in middle-$Z$ heliumlike ions
• Relativistic calculations of the ground and inner-L-shell excited energy levels of berylliumlike ions
• QED calculation of electron-electron correlation effects in heliumlike ions
• 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
• QED theory of the specific mass shift in atoms
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor
• QED theory of the normal mass shift in few-electron atoms
• Isotope shifts of the $1s^{2}2s2p(J)$ -$1s^{2}2s^2$ transition energies in Be-like thorium and uranium
• Complex-scaled ab initio QED approach to autoionizing states
• Binding energies of the $1s^{2}2s2p{}^3{P}_{0,2}$ states of berylliumlike xenon