Quantum electrodynamic corrections to the hyperfine structure of excited S states

Abstract

State-dependent quantum electrodynamic corrections are evaluated for the hyperfine splitting of nS states for arbitrary principal quantum number n. The calculations comprise both the self-energy and the vacuum-polarization correction of order alpha(Z alpha)^2 E_F and the recoil correction of order (Z alpha)^2 (m/M) E_F. Higher-order corrections are summarized and partly reevaluated as well. Accurate predictions for hydrogen hyperfine splitting intervals of nS states with n=2,...,8 are presented. The results obtained are important due to steady progress in hydrogen spectroscopy for transitions involving highly excited S states.

9 pages, RevTeX; to appear in Physical Review A

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• Nonrelativistic QED approach to the Lamb shift
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• Hyperfine structure in hydrogen and helium ion
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• Radiative energy shifts induced by local potentials
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• Improved theoretical prediction for the 2s hyperfine interval in helium ion

Cited by in corpus (16)

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• 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
• Long-range interactions of hydrogen atoms in excited states. I. 2S-1S interactions and Dirac-delta perturbations
• Muonic vs electronic dark forces: a complete EFT treatment for atomic spectroscopy
• Precision Muonium Spectroscopy
• Long-range interactions of hydrogen atoms in excited states. II. Hyperfine-resolved 2S-2S system
• Higher-order QED corrections to the hyperfine splitting in ${}^3$He
• QED corrections of order alpha (Zalpha)^2 E_F to the hyperfine splitting of P_1/2 and P_3/2 states in hydrogenlike ions
• Proposal for the determination of nuclear masses by high-precision spectroscopy of Rydberg states
• Hyperfine structure of S states in Li and Be^+
• Fifth Force and Hyperfine Splitting in Bound Systems
• Self-Energy Correction to the Hyperfine Splitting for Excited States
• Relativistic and quantum electrodynamics effects on NMR shielding tensors of Tl$X$ ($X$ = H, F, Cl, Br, I, At) molecules
• From First Principles of QED to an Application: Hyperfine Structure of P States of Muonic Hydrogen