QED calculation of electron-electron correlation effects in heliumlike ions

Abstract

Fully relativistic approach to evaluate the correlation effects in highly charged ions is presented. The interelectronic-interaction contributions of first and second orders in $1/Z$ are treated rigorously within the framework of bound-state quantum electrodynamics, whereas the calculations of the third- and higher-order contributions are based on the Dirac-Coulomb-Breit Hamiltonian. The developed approach allows one to deal with single as well as degenerate or quasi-degenerate states. We apply this approach to the calculations of the correlation contributions to the $n=1$ and $n=2$ energy levels in heliumlike ions. The obtained contributions are combined with the one-electron and screened QED corrections, nuclear recoil and nuclear polarization corrections to get the total theoretical predictions for the ionization and transition energies in high-$Z$ heliumlike ions.

37 pages, 6 figures, 8 tables

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Cited by in corpus (11)

• Atomic physics studies at the Gamma Factory at CERN
• QED calculations of energy levels of helium-like ions with $5\le Z\le 30$
• Ab initio calculations of energy levels in Be-like xenon: strong interference between electron-correlation and QED effects
• Ab initio calculations of the $2p_{3/2}\to 2s$ transition in He-, Li-, and Be-like uranium
• Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation
• QED corrections to the correlated relativistic energy: one-photon processes
• Quantum Electrodynamics in Strong Electromagnetic Fields: Substate Resolved K$\alpha$ Transition Energies in Helium-like Uranium
• Many-electron effects in the hyperfine splitting of lithiumlike ions
• Single and double $K$-shell vacancy production in slow Xe${}^{\text{54+,53+}}$-Xe collisions
• Ab initio QED calculations in diatomic quasimolecules
• Complex-scaled ab initio QED approach to autoionizing states