Hyperfine structure in hydrogen and helium ion

Karshenboim, Savely G.; Ivanov, Vladimir G.

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Hyperfine structure in hydrogen and helium ion

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Karshenboim, Savely G.
Laser Spectroscopy, Max Planck Institute of Quantum Optics, Max Planck Society;

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Karshenboim, S. G., & Ivanov, V. G. (2002). Hyperfine structure in hydrogen and helium ion. Physics Letters B, 524(3-4), 259-264. Retrieved from http://www.sciencedirect.com/science/article/B6TVN-44KW0F3-3/1/b6c479e028f381e357058f15a3efac20.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-C26B-E

Abstract

QED theory of the hyperfine splitting of the 1s and 2s state in hydrogen isotopes and helium-3 ion is considered. We develop an accurate theory of a specific difference 8E_HFS(2s) - E_HFS(1s). We take into account higher-order QED and nuclear structure effects. In particular, we found the vacuum polarization contribution in order α(Zα)³ E_F and examined the recoil contribution in order (Zα)³m/M and thus completed a calculation of the fourth order QED corrections. The higher-order nuclear structure contributions were also analysed. The theoretical predictions reported here are now of a higher accuracy than the experiment. The study of the difference provides the most accurate test (at a level of a part in 10⁸) of the QED theory of its HFS up to date. The theory agrees with most of the experimental data. (C) 2002 Published by Elsevier Science B.V.