Quantum electrodynamics corrections to the $2P$ fine splitting in Li

Abstract

We consider quantum electrodynamics (QED) corrections to the fine splitting $E(2P_{3/2})-E(2P_{1/2})$ in the Li atom. We derive complete formulas for the $m{\alpha }^6$ and $m{\alpha }^7\ln \alpha$ contributions and calculate them numerically using highly optimized, explicitly correlated basis functions. The obtained results resolve disagreement between measurements and lay the foundations for investigation of QED effects in light, many-electron atoms.

11 pages

References in corpus (2)

• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• The nonrelativistic limit of Dirac-Fock codes: the role of Brillouin configurations

Cited by in corpus (6)

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• Frequency-comb based collinear laser spectroscopy of Be for nuclear structure investigations and many-body QED tests
• NRQED approach to the fine and hyperfine structure corrections of order $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ -- Application to the hydrogen atom
• Weighted difference of g-factors of light Li-like and H-like ions for an improved determination of the fine-structure constant
• Precision Test of Many-Body QED in the Be${}^{+}$ $2p$ Fine Structure Doublet Using Short-Lived Isotopes
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be