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.

5 pages

References in corpus (13)

• High-precision measurement of the atomic mass of the electron
• Complete two-loop correction to the bound-electron g factor
• g factor of lithiumlike silicon 28Si11+
• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• Relativistic and QED corrections to the g factor of Li-like ions
• Many-electron QED corrections to the g factor of lithiumlike ions
• Light-by-light scattering in the Lamb shift and the bound electron g factor
• Binding two-loop vacuum-polarization corrections to the bound-electron g factor
• Ground-state ionization energies of boronlike ions
• Electron-correlation effects in the $g$-factor of light Li-like ions
• Universal Binding and Recoil Corrections to Bound State $g$-Factors
• Nuclear recoil correction to the g factor of boron-like argon
• Electromagnetic moments of the bound system of charged particles

Cited by in corpus (17)

• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• Calculations of QED effects with the Dirac Green function
• g Factor of Lithiumlike Silicon and Calcium: Resolving the Disagreement between Theory and Experiment
• Testing Standard Model extensions with few-electron ions
• Precision spectroscopy on ${}^9$Be overcomes limitations from nuclear structure
• Self-energy screening effects in the $g$ factor of Li-like ions
• 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
• Ground-state $g$ factor of middle-$Z$ boronlike ions
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Two-photon exchange corrections to the $g$ factor of Li-like ions
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor
• Interelectronic-interaction contribution to the nuclear recoil effect on the $g$ factor of boronlike ions
• Testing inter-electronic interaction in lithium-like tin
• Accurate determination of ${}^{6,7}$Li nuclear magnetic moments
• QED effects in quadratic Zeeman splitting in highly charged hydrogen-like ions
• $g$ factor of the $2p_j$ excited states in lithium-like ions