Hyperfine Structure of the Ground and First Excited States in Light Hydrogen-Like Atoms and High-Precision Tests of QED

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} = 8 E_{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 1s and 2s levels in the light hydrogen-like atoms up to 10^-8.

12 pages, 1 figure

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• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Hyperfine structure in hydrogen and helium ion
• One-loop self-energy correction to the 1s and 2s hyperfine splitting in H-like systems
• Muonium hyperfine structure and hadronic effects
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