Recoil effect on the g factor of Li-like ions

Abstract

The nuclear recoil effect on the $g$ factor of Li-like ions is evaluated. The one-electron recoil contribution is treated 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 $\alpha Z$. These calculations are performed in a range $Z=3-92$. The two-electron recoil term is calculated for low- and middle-$Z$ ions within the Breit approximation using a four-component approach. The results for the two-electron recoil part obtained in the paper strongly disagree with the previous calculations performed using an effective two-component Hamiltonian. The obtained value for the recoil effect is used to calculate the isotope shift of the $g$ factor of Li-like ${}^A$Ca${}^{17+}$ with $A=40$ and $A=48$ which was recently measured. It is found that the new theoretical value for the isotope shift is closer to the experimental one than the previously obtained value.

arXiv comment5 pages

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• QED calculation of electron-electron correlation effects in heliumlike ions
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• Nuclear recoil effect on $g$ factor of heavy ions: prospects for tests of quantum electrodynamics in a new region
• Nuclear recoil effect on the g factor of highly charged Li-like ions
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Testing Standard Model extensions with few-electron ions
• Nuclear recoil effect on the g factor of middle-Z boronlike ions
• Self-energy screening effects in the $g$ factor of Li-like ions
• Precision spectroscopy on ${}^9$Be overcomes limitations from nuclear structure
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• QED theory of the specific mass shift in atoms
• Electron correlation effects on the $g$ factor of lithiumlike ions
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• Interelectronic-interaction contribution to the nuclear recoil effect on the $g$ factor of boronlike ions
• QED theory of the normal mass shift in few-electron atoms
• Accurate determination of ${}^{6,7}$Li nuclear magnetic moments
• Testing inter-electronic interaction in lithium-like tin
• Relativistic calculation of the nuclear recoil effect on the $g$ factor of the ${}^2{P}_{3/2}$ state in highly charged B-like ions
• QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions
• $g$ factor of the $2p_j$ excited states in lithium-like ions