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.

arXiv comment11 pages

References in corpus (10)

• Theoretical energies of low-lying states of light helium-like ions
• Fine structure of helium-like ions and determination of the fine structure constant
• Laser Probing of Neutron-Rich Nuclei in Light Atoms
• Quantum interference and light polarization effects in unresolvable atomic lines: application to a precise measurement of the 6,7 Li D2 lines
• Higher-order effective Hamiltonian for light atomic systems
• Testing quantum electrodynamics in the lowest singlet states of beryllium atom
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• Convergence of all-order many-body methods: coupled-cluster study for Li
• The nonrelativistic limit of Dirac-Fock codes: the role of Brillouin configurations
• D1 and D2 lines in ${}^{6,7}$Li including QED effects

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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
• QED calculation of the $2p$ fine structure in Li-like ions
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be
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