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

  • S. G. Karshenboim
  • V. G. Ivanov
Article

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.

PACS

12.20.Fv Experimental tests 21.45.+v Few-body systems 31.30.Jv Relativistic and quantum electrodynamic effects in atoms and molecules 32.10.Fn Fine and hyperfine structure 

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Copyright information

© Springer-Verlag 2002

Authors and Affiliations

  • S. G. Karshenboim
    • 1
    • 2
  • V. G. Ivanov
    • 1
    • 3
  1. 1.D.I. Mendeleev Institute for MetrologySt. PetersburgRussia
  2. 2.Max-Planck-Institut für QuantenoptikGarchingGermany
  3. 3.Pulkovo ObservatorySt. PetersburgRussia

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