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Hyperfine structure of the ground and first excited states in light hydrogen-like atoms and high-precision tests of QED

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Abstract

We consider hyperfine splitting of 1s and, in part, of 2s levels in light hydrogen-like atoms: hydrogen, deuterium, tritium, helium-3 ion, muonium and positronium. We discuss present status of precision theory and experiment for the hfs intervals. We pay a special attention to a specific difference, D 21=8E hfs(2s)−E hfs(1s), which is known experimentally for hydrogen, deuterium and 3He+ ion. The difference is weakly affected by the effects of the nuclear structure and thus may be calculated with a high accuracy. We complete a calculation of the fourth order QED contributions to this difference and present here new results on corrections due to the nuclear effects. Our theoretical predictions appear to be in a fair agreement with available experimental data. Comparison of the experimental data with our examination of D 21 allows to test the state-dependent sector of theory of the hfs separation of the Is and 2s levels in the light hydrogen-like atoms up to 10−8.

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Authors and Affiliations

  1. D.I. Mendeleev Institute for Metrology, 198005, St. Petersburg, Russia

    S. G. Karshenboim & V. G. Ivanov

  2. Max-Planck-Institut für Quantenoptik, 85748, Garching, Germany

    S. G. Karshenboim

  3. Pulkovo Observatory, 196140, St. Petersburg, Russia

    V. G. Ivanov

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  1. S. G. Karshenboim
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  2. V. G. Ivanov
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Karshenboim, S.G., Ivanov, V.G. Hyperfine structure of the ground and first excited states in light hydrogen-like atoms and high-precision tests of QED. Eur. Phys. J. D. 19, 13–23 (2002). https://doi.org/10.1140/epjd/e20020050

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