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 α(Zα) 2 EF and the recoil correction of order (Zα)2 (m/M) EF. 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.
U. D. Jentschura and V. A. Yerokhin, "Quantum Electrodynamic Corrections to the Hyperfine Structure of Excited S States," Physical Review A - Atomic, Molecular, and Optical Physics, vol. 73, no. 6, pp. 062503-1-062503-9, American Physical Society (APS), Jun 2006.
The definitive version is available at https://doi.org/10.1103/PhysRevA.73.062503
Keywords and Phrases
Electrodynamics; Hydrogen; Molecular Structure; Polarization; Spectroscopic Analysis; Vacuum; Arbitrary Principal Quantum Number; Quantum Electrodynamics; Splitting Intervals; Vacuum-polarization Correction; Quantum Theory
International Standard Serial Number (ISSN)
Article - Journal
© 2006 American Physical Society (APS), All rights reserved.