QED calculation of the 2p1/2-2s and 2p3/2-2s transition energies and the ground-state hyperfine splitting in lithiumlike scandium

Abstract

We present the most accurate up-to-date theoretical values of the {2p_{1/2}}-{2s} and {2p_{3/2}}-{2s} transition energies and the ground-state hyperfine splitting in ${\mathrm{Sc}}^{18+}$. All two- and three-electron contributions to the energy values up to the two-photon level are treated in the framework of bound-state QED without $\aZ$-expansion. The interelectronic interaction beyond the two-photon level is taken into account by means of the large-scale configuration-interaction Dirac-Fock-Sturm (CI-DFS) method. The relativistic recoil correction is calculated with many-electron wave functions in order to take into account the electron-correlation effect. The accuracy of the transition energy values is improved by a factor of five compared to the previous calculations. The CI-DFS calculation of interelectronic-interaction effects and the evaluation of the QED correction in an effective screening potential provide significant improvement for the $2s$ hyperfine splitting. The results obtained are in a good agreement with recently published experimental data.

arXiv comment10 pages, 2 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
• Ground state hyperfine splitting of high Z hydrogenlike ions
• 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
• QED theory of the nuclear recoil effect in atoms
• Nonrelativistic QED approach to the Lamb shift
• Two-loop self-energy correction in high-Z hydrogen-like ions
• Magnetic-dipole transition probabilities in B-like and Be-like ions
• Non-perturbative calculation of the two-loop Lamb shift in Li-like 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 $\alpha Z$
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Screened QED corrections to the g factor of Li-like ions
• 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

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• Evaluation of the screened vacuum-polarization corrections to the hyperfine splitting of Li-like bismuth
• QED calculation of electron-electron correlation effects in heliumlike ions
• Relativistic, QED and nuclear effects in highly charged ions revealed by resonant electron-ion recombination in storage rings
• Ground-state hyperfine splitting of B-like ions in high-Z region
• Many-electron effects in the hyperfine splitting of lithiumlike ions