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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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Karshenboim,  S. 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 of the ground and first excited states in light hydrogen-like atoms and high-precision tests of QED. European Physical Journal D, 19(1), 13-23. Retrieved from http://link.springer.de/link/service/journals/10053/bibs/2019001/20190013.htm.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-C235-6
Abstract
We consider hyperfine splitting of is 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, D21 = 8Ehfs(2s) - Ehfs(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 D21 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.