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 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.

Department(s)

Physics

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)

1050-2947

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2006 American Physical Society (APS), All rights reserved.

Publication Date

01 Jun 2006

Included in

Physics Commons

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