QED treatment of electron correlation in Li-like ions

Abstract

A systematic QED treatment of electron correlation is presented for ions along the lithium isoelectronic sequence. We start with the zeroth-order approximation that accounts for a part of the electron-electron interaction by a local model potential introduced into the Dirac equation. The residual electron correlation is treated by perturbation theory. Rigorous QED evaluation is presented for the first two terms of the perturbative expansion; the third-order contribution is calculated within the many-body perturbation theory. We report accurate numerical results for the electronic-structure part of the ionization potential for the n=2 states of all Li-like ions up to uranium.

20 pages, 5 figures, 6 tables

References in corpus (15)

• Dual kinetic balance approach to basis set expansions for the Dirac equation
• Two-time Green function method in quantum electrodynamics of high-Z few-electron atoms
• Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Ground state wave function and energy of the lithium atom
• Nonrelativistic QED approach to the Lamb shift
• Two-loop self-energy correction in high-Z hydrogen-like ions
• Radiative and correlation effects on the parity-nonconserving transition amplitude in heavy alkaline atoms
• Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
• QED corrections to the parity-nonconserving 6s-7s amplitude in ${}^{133}$Cs
• Nuclear recoil corrections to the $2p_{\frac{3}{2}}$ state energy of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Calculation of the One- and Two-Loop Lamb Shift for Arbitrary Excited Hydrogenic States
• Coordinate-space approach to the bound-electron self-energy: Self-Energy screening calculation
• Evaluation of the two-photon exchange diagrams for the $(1s{)}^{2}2p_{3/2}$ electron configuration in Li-like ions
• Screened self-energy correction to the 2p3/2-2s transition energy in Li-like ions

Cited by in corpus (22)

• Highly charged ions: optical clocks and applications in fundamental physics
• QED tests with highly-charged ions
• Nuclear deformation effect on the binding energies in heavy ions
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• QED calculation of the ground-state energy of berylliumlike ions
• Relativistic configuration-interaction calculations of energy levels of the $1s^{2}2l$ and $1s2l2l^{\prime }$ states in lithium-like ions: carbon through chlorine
• Relativistic configuration-interaction calculation of energy levels of core-excited states in lithium-like ions: argon through krypton
• Stringent tests of QED using highly charged ions
• Energy levels of core-excited $1s2l2l^{\prime }$ states in lithium-like ions: argon to uranium
• Relativistic calculations of the isotope shifts in highly charged Li-like ions
• Ground-state ionization energies of boronlike ions
• Ionization energies along beryllium isoelectronic sequence
• QED calculations of the $n=2$ to $n=1$ x-ray transition energies in middle-$Z$ heliumlike ions
• Ab initio calculations of energy levels in Be-like xenon: strong interference between electron-correlation and QED effects
• QED corrections to the ${}^2{P}_{1/2}-{}^2{P}_{3/2}$ fine structure in fluorinelike ions: model Lamb shift operator approach
• QED calculation of electron-electron correlation effects in heliumlike ions
• QED corrections to the $g$ factor of Li- and B-like ions
• Nuclear recoil correction to the g factor of boron-like argon
• Ab initio calculations of the $2p_{3/2}\to 2s$ transition in He-, Li-, and Be-like uranium
• QED calculation of the $2p$ fine structure in Li-like ions
• Redefined vacuum approach and gauge-invariant subsets in two-photon-exchange diagrams for a closed-shell system with a valence electron
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions