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.

arXiv comment38 pages, 7 figures, 7 tables

References in corpus (70)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• The DIRAC code for relativistic molecular calculations
• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• Model operator approach to the Lamb shift calculations in relativistic many-electron atoms
• Probing new light force-mediators by isotope shift spectroscopy
• Charge radii of exotic potassium isotopes challenge nuclear theory and the magic character of $N=32$
• Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Relativistic calculations of isotope shifts in highly charged ions
• Recoil correction to the bound-electron g factor in H-like atoms to all orders in $\alpha Z$
• An Optical Atomic Clock Based on a Highly Charged Ion
• Isotope shift in the dielectronic recombination of three-electron ^{A}Nd^{57+}
• QED theory of the nuclear recoil effect in atoms
• Isotope shift, non-linearity of King plots and the search for new particles
• g factor of lithiumlike silicon 28Si11+
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Constraining New Physics Models with Isotope Shift Spectroscopy
• QED theory of the nuclear recoil effect on the atomic g factor
• Combining configuration interaction with perturbation theory for atoms with large number of valence electrons
• Recoil correction to the ground state energy of hydrogenlike atoms
• Direct Bound-Electron $g$ factor Difference Measurement with Coupled Ions
• Nuclear recoil corrections to the $2p_{\frac{3}{2}}$ state energy of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Dielectronic Resonance Method for Measuring Isotope Shifts
• QED shifts in multivalent heavy ions
• $g$-factor of Boronlike Argon ${}^{40}{\text{Ar}}^{13+}$
• Precision determination of isotope shifts in ytterbium and implications for new physics
• Isotope Shifts in Beryllium-, Boron-, Carbon-, and Nitrogen-like Ions from Relativistic Configuration Interaction Calculations
• Observation of non-linearity of generalized King plot in the search for new boson
• Photoionization of metastable heliumlike C4+(1s 2s 3S1) ions: Precision study of intermediate doubly excited states
• Tensorial form and matrix elements of the relativistic nuclear recoil operator
• Relativistic corrections to isotope shift in light ions
• $g$ Factor of Lithiumlike Silicon: New Challenge to Bound-State QED
• Nuclear recoil effect in the Lamb shift of light hydrogen-like atoms
• 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
• High-precision measurements of $n=2\to n=1$ transition energies and level widths in He- and Be-like Argon Ions
• Sensitivity to New Physics of Isotope Shift Studies using the Coronal Lines of Highly Charged Calcium Ions
• Relativistic configuration-interaction calculation of energy levels of core-excited states in lithium-like ions: argon through krypton
• 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
• Isotope shifts of the 2$p_{3/2}$-2$p_{1/2}$ transition in B-like ions
• QED corrections to the ${}^2{P}_{1/2}-{}^2{P}_{3/2}$ fine structure in fluorinelike ions: model Lamb shift operator approach
• Relativistic calculations of X-Ray transition energies and isotope shifts in heavy atoms
• Multiconfiguration calculations of electronic isotope shift factors in Zn I
• Nuclear recoil effect on $g$ factor of heavy ions: prospects for tests of quantum electrodynamics in a new region
• Nuclear recoil corrections to the Lamb shift of hydrogen and light hydrogen-like ions
• Ionization potentials and electron affinities of Rg, Cn, Nh, and Fl superheavy elements
• Nuclear recoil effect on the g factor of highly charged Li-like ions
• Nonlinearities of King's plot and their dependence on nuclear radii
• Isotope shifts for ${}^1{S}_0-{}^3{P}_{0,1}^o$ Yb lines from multi-configuration Dirac-Hartree-Fock calculations
• Nuclear recoil effect on the binding energies in highly charged He-like ions
• Finite nuclear size corrections to the recoil effect in hydrogenlike ions
• Testing Standard Model extensions with few-electron ions
• 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 calculation of the $2p$ fine structure in Li-like ions
• Relativistic nuclear recoil effect on the $g$ factor of highly charged boronlike ions
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor
• Ab initio MCDHF calculations of the In and Tl electron affinities and their isotope shifts
• QED theory of the normal mass shift in few-electron atoms
• Isotope shifts of the $1s^{2}2s2p(J)$ -$1s^{2}2s^2$ transition energies in Be-like thorium and uranium
• Relativistic calculation of the nuclear recoil effect on the $g$ factor of the ${}^2{P}_{3/2}$ state in highly charged B-like ions
• Radiative and photon-exchange corrections to New Physics contributions to energy levels in few-electron ions

Cited by in corpus (3)

• Ab initio calculations of the $2p_{3/2}\to 2s$ transition in He-, Li-, and Be-like uranium
• QED calculations of the nuclear recoil effect in muonic atoms
• Isotope-shift factors with quantum electrodynamics effects for many-electron systems: A study of the nuclear charge radius of ${}^{26m}$Al