Nuclear recoil effect on $g$ factor of heavy ions: prospects for tests of quantum electrodynamics in a new region

Abstract

The nuclear recoil effect on the $g$ factor of H- and Li-like heavy ions is evaluated to all orders in $\alpha Z$. The calculations include an approximate treatment of the nuclear size and the electron-electron interaction corrections to the recoil effect. As the result, the second largest contribution to the theoretical uncertainty of the $g$-factor values of ${}^{208}$Pb${}^{79+}$ and ${}^{238}$U${}^{89+}$ is strongly reduced. Special attention is paid to tests of the QED recoil effect on the $g$ factor in experiments with heavy ions. It is found that, while the QED recoil effect on the $g$-factor value is masked by the uncertainties of the nuclear size and nuclear polarization contributions, it can be probed on a few-percent level in the specific difference of the $g$ factors of H- and Li-like heavy ions. This provides a unique opportunity to test QED in a new region --- strong-coupling regime beyond the Furry picture.

12 pages, 3 tables

References in corpus (8)

• High-precision measurement of the atomic mass of the electron
• g factor of lithiumlike silicon 28Si11+
• Relativistic and QED corrections to the g factor of Li-like ions
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• Many-electron QED corrections to the g factor of lithiumlike ions
• Screened QED corrections to the g factor of Li-like ions
• Recoil effect on the g factor of Li-like ions
• Ground-state ionization energies of boronlike ions

Cited by in corpus (18)

• QED tests with highly-charged ions
• $g$ Factor of Lithiumlike Silicon: New Challenge to Bound-State QED
• Stringent tests of QED using highly charged ions
• 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
• Nuclear recoil effect on the g factor of middle-Z boronlike 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
• Electron correlation effects on the $g$ factor of lithiumlike ions
• Ground-state $g$ factor of middle-$Z$ boronlike ions
• Relativistic nuclear recoil effect on the $g$ factor of highly charged boronlike ions
• Interelectronic-interaction contribution to the nonlinear Zeeman effect in boronlike 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
• QED theory of the normal mass shift in few-electron atoms
• 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