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

Abstract

The bound-state QED approach is applied to calculations of the $2p_{3/2}\to 2s$ transition energies in He-, Li-, and Be-like uranium. For U${}^{90+}$ and U${}^{89+}$, standard perturbation theory for a single level is employed, while the calculations of U${}^{88+}$ have required its counterpart for quasidegenerate levels. The utilized approach merges the rigorous QED treatment up to the second order of perturbation theory with the higher-order electron-correlation contributions evaluated within the Breit approximation. The higher-order screened QED effects are estimated by means of the model-QED operator. The nuclear recoil, nuclear polarization, and nuclear deformation effects are taken into account as well. Along with the transition energies, their pairwise differences are calculated. The comprehensive analysis of the uncertainties due to uncalculated effects is carried out, and the most accurate theoretical predictions, which are in perfect agreement with available experimental data, are obtained.

1 figure, 8 tables

References in corpus (13)

• 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
• Non-perturbative calculation of the two-loop Lamb shift in Li-like ions
• QED treatment of electron correlation in Li-like ions
• Nuclear polarization study: New frontiers for tests of QED in heavy highly charged ions
• QED calculation of the ground-state energy of berylliumlike ions
• Ground-state ionization energies of boronlike ions
• Relativistic calculations of the ground and inner-L-shell excited energy levels of berylliumlike ions
• QED theory of the nuclear recoil with finite size
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• QED theory of the specific mass shift in atoms
• Differential energy measurement between He- and Li-like uranium intra-shell transitions
• Doppler-tuned Bragg Spectroscopy of Excited Levels in He-Like Uranium: a discussion of the uncertainty contributions

Cited by in corpus (6)

• Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation
• Testing strong-field QED to second-order in the highly correlated atomic system berylliumlike Pb78+ by electron-ion recombination spectroscopy
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Model-independent determination of nuclear charge radii from Li-like ions
• Splitting Isotope Shift in the $1s2p{}^3{P}_{0,1,2}$ Fine-Structure Triplet in ${}^{12,13,14}$C${}^{4+}$: Experiment and Theory
• Double-pair Coulomb and Breit photon correction to the correlated relativistic energy