Relativistic nuclear recoil effect on the $g$ factor of highly charged boronlike ions

Abstract

The nuclear recoil effect on the $g$ factor of the ground state of highly charged B-like ions is studied to first order in the electron-to-nucleus mass ratio $m/M$. The leading one-electron and two-electron recoil contributions are calculated nonperturbatively in the parameter $\alpha Z$ within the rigorous QED formalism. The interelectronic-interaction correction to the nuclear recoil effect is evaluated in the Breit approximation by means of perturbation theory to the first order in $1/Z$. The higher-order interelectronic-interaction corrections are taken into account partially by performing the calculations with the effective screening potential. The results obtained represent the most accurate up-to-date treatment of the nuclear recoil effect on the $g$ factor of highly charged B-like ions in the range $Z=20$--$92$.

arXiv comment16 pages, 6 tables

References in corpus (24)

• High-precision measurement of the atomic mass of the electron
• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$
• QED theory of the nuclear recoil effect in atoms
• g factor of lithiumlike silicon 28Si11+
• Magnetic-dipole transition probabilities in B-like and Be-like ions
• Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkaline atoms
• QED theory of the nuclear recoil effect on the atomic g factor
• Relativistic and QED corrections to the g factor of Li-like ions
• Experimental access to higher-order Zeeman effects by precision spectroscopy of highly charged ions in a Penning trap
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• The $g$-factor of light ions for an improved determination of the fine-structure constant
• Many-electron QED corrections to the g factor of lithiumlike ions
• Hyperfine structures and Landé $g_J$-factors for $n=2$ states in beryllium-, boron-, carbon-, and nitrogen-like ions from relativistic configuration interaction calculations
• Theory of bound-electron g factor in highly charged ions
• Extraction of the electron mass from $g$ factor measurements on light hydrogenlike ions
• Recoil effect on the g factor of Li-like ions
• Electron-correlation effects in the $g$-factor of light Li-like ions
• 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
• Nuclear recoil correction to the g factor of boron-like argon
• Finite nuclear size corrections to the recoil effect in hydrogenlike ions
• Nuclear recoil effect on the g factor of middle-Z boronlike ions
• Ground-state $g$ factor of middle-$Z$ boronlike ions

Cited by in corpus (8)

• QED calculation of electron-electron correlation effects in heliumlike ions
• QED corrections to the $g$ factor of Li- and B-like ions
• Testing Standard Model extensions with few-electron ions
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and 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
• Relativistic calculation of the nuclear recoil effect on the $g$ factor of the ${}^2{P}_{3/2}$ state in highly charged B-like ions
• $g$ factor of the $2p_j$ excited states in lithium-like ions