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Quantum electrodynamic corrections to the hyperfine structure of excited S states

Ulrich D. Jentschura·Vladimir A. Yerokhin
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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.

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Ulrich D. Jentschura, Vladimir A. Yerokhin. 2006-05-09. Quantum electrodynamic corrections to the hyperfine structure of excited S states. https://doi.org/10.1103/physreva.73.062503

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