Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions

Abstract

A model-operator approach to fully relativistic calculations of the nuclear recoil effect on energy levels in many-electron atomic systems is worked out. The one-electron part of the model operator for treating the normal mass shift beyond the Breit approximation is represented by a sum of semilocal and nonlocal potentials. The latter ones are constructed by employing the diagonal and off-diagonal matrix elements rigorously evaluated for hydrogenlike ions to first order in the electron-to-nucleus mass ratio. The specific mass shift beyond the lowest-order relativistic approximation has a form which can be directly employed in calculations. The capabilities of the method are probed by comparison of its predictions with the results of ab initio QED calculations. The proposed operator can be easily incorporated into any relativistic calculation based on the Dirac-Coulomb-Breit Hamiltonian.

38 pages, 7 figures, 7 tables

References in corpus (26)

• Isotope shift in the dielectronic recombination of three-electron ^{A}Nd^{57+}
• g factor of lithiumlike silicon 28Si11+
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Combining configuration interaction with perturbation theory for atoms with large number of valence electrons
• Dielectronic Resonance Method for Measuring Isotope Shifts
• QED shifts in multivalent heavy ions
• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• Isotope Shifts in Beryllium-, Boron-, Carbon-, and Nitrogen-like Ions from Relativistic Configuration Interaction Calculations
• Relativistic corrections to isotope shift in light ions
• Approaching meV level for transition energies in the radium monofluoride molecule RaF and radium cation Ra${}^{+}$ by including quantum-electrodynamics effects
• Nuclear Charge Radii of ${}^{10,11}$B
• Recoil effect on the g factor of Li-like ions
• Relativistic calculations of the isotope shifts in highly charged Li-like ions
• Non-linear isotope-shift effects in Be-like, B-like, and C-like argon
• Complex scaled relativistic configuration-interaction study of the $LL$ resonances in helium-like ions: from Boron to Argon
• Model-QED operator for superheavy elements
• Relativistic calculations of the ground and inner-L-shell excited energy levels of berylliumlike ions
• Electron affinity of oganesson
• Multiconfiguration calculations of electronic isotope shift factors in Zn I
• Nuclear recoil corrections to the Lamb shift of hydrogen and light hydrogen-like ions
• Nonlinearities of King's plot and their dependence on nuclear radii
• MCDHF-CI calculations for Hg and Cd with estimates for unknown clock transition frequencies
• Theoretical isotope shifts in neutral barium
• QED theory of the specific mass shift in atoms
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor
• Radiative and photon-exchange corrections to New Physics contributions to energy levels in few-electron ions

Cited by in corpus (1)

• Ab initio calculations of the $2p_{3/2}\to 2s$ transition in He-, Li-, and Be-like uranium