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Lamb Shift in Light Hydrogen-Like Atoms

  • Vladimir G. Ivanov
  • Savely G. Karshenboim
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 570)

Abstract

Calculation of higher-order two-loop corrections is now a limiting factor in development of the bound state QED theory of the Lamb shift in the hydrogen atom and in precision determination of the Rydberg constant. Progress in the study of light hydrogen-like ions of helium and nitrogen can be helpful to investigate these uncalculated terms experimentally. To do that it is necessary to develop a theory of such ions. We present here a theoretical calculation for low energy levels of helium and nitrogen ions.

Keywords

Lamb Shift Muonic Hydrogen Pulkovo Observatory Rydberg Constant Dirac Wave Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    S. G. Karshenboim: invited talk at ICAP 2000, to be published, e-print hepph/0007278Google Scholar
  2. 2.
    S. G. Karshenboim: invited talk at MPLP 2000, to be published, e-print physics/0008215Google Scholar
  3. 3.
    S. G. Karshenboim: Can. J. Phys. 77, 241 (1998)CrossRefADSGoogle Scholar
  4. 4.
    R. Pohl et al.: this edition 454–466Google Scholar
  5. 5.
    T. W. Hänsch et al.: this edition 17-41Google Scholar
  6. 6.
    G. W. F. Drake and A. van Wijngaarden: presented at The Hydrogen atom II meeting (unpublished)Google Scholar
  7. 7.
    S. A. Burrows et al.: this edition 303–313Google Scholar
  8. 8.
    E. G. Myers and M. R. Tarbutt: this edition 688–698Google Scholar
  9. 9.
    S. Mallampalli and J. Sapirstein: Phys. Rev. Lett. 80, 5297 (1998)CrossRefADSGoogle Scholar
  10. 10.
    I. Goidenko et al.: Phys. Rev. Lett. 83, 2312 (1999); this conferenceCrossRefADSGoogle Scholar
  11. 11.
    V. A. Yerokhin: this edition 800–809Google Scholar
  12. 12.
    S. G. Karshenboim: Z. Phys. D 39, 109 (1997)CrossRefADSGoogle Scholar
  13. 13.
    S. Klarsfeld and A. Maquet: Phys. Lett. B43, 201 (1973); G. W. F. Drake and R. A. ainson: Phys. Rev. A41, 1243 (1990)ADSGoogle Scholar
  14. 14.
    S. G. Karshenboim: Can. J. Phys. 76, 168 (1998)ADSGoogle Scholar
  15. 15.
    V. G. Ivanov and S. G. Karshenboim: Phys. At. Nucl. 60, 270 (1997)Google Scholar
  16. 16.
    N. L. Manakov, A. A. Nekipelov and A. G. Fainshtein: JETP 68, 673 (1989)Google Scholar
  17. 17.
    W. R. Johnson and G. Soff: At. Data. Nucl. Data Tables 33, 405 (1985)CrossRefADSGoogle Scholar
  18. 18.
    K. Pachucki: Ann. Phys. (N. Y.) 226, 1 (1993)CrossRefADSGoogle Scholar
  19. 19.
    U. D. Jentschura and K. Pachucki: Phys. Rev. A82, 1853 (1996)ADSGoogle Scholar
  20. 20.
    P. J. Mohr: Phys. Rev. A46, 4421 (1992)ADSGoogle Scholar
  21. 21.
    U. D. Jentschura et al.: Phys. Rev. Lett. 82, 53 (1999)Google Scholar
  22. 22.
    S. G. Karshenboim: JETP 79, 230 (1994)ADSGoogle Scholar
  23. 23.
    P. J. Mohr and Y.-K. Kim: Phys. Rev. A45, 2727 (1992)ADSGoogle Scholar
  24. 24.
    V. A. Yerokhin: private communication Google Scholar
  25. 25.
    K. Pachucki and H. Grotch: Phys. Rev. A 51, 1854 (1995); E. A. Golosov, A. S. Elkhovski, A. I. Mil’shten, and I. B. hriplovich: JETP 80, 208 (1995)CrossRefADSGoogle Scholar
  26. 26.
    A. N. Artemyev, V. M. Shabaev, and V. A. Yerokhin: Phys. Rev. A 52, 1884 (1995); J. Phys. B 28, 5201 (1995)CrossRefADSGoogle Scholar
  27. 27.
    W. A. Barker and F. N. Glover: Phys. Rev. 99, 317 (1955); S. J. Brodsky and R. G. Parsons: Phys. Rev. 163, 134 (1967); 176, 423E (1968); K. Pachucki and S. G. Karshenboim: J. Phys. B 28, L221 (1995)zbMATHCrossRefADSMathSciNetGoogle Scholar
  28. 28.
    K. Pachucki: Phys. Rev. A52, 1079 (1995)ADSGoogle Scholar
  29. 29.
    K. Pachucki: Phys. Rev. Lett. 72, 3154 (1994); M. I. Eides and V. A. Shelyuto: Phys. Rev. A52, 954 (1995)CrossRefADSGoogle Scholar
  30. 30.
    S. G. Karshenboim: JETP 76, 541 (1993)ADSGoogle Scholar
  31. 31.
    T Kinoshita: this edition 157–175Google Scholar
  32. 32.
    S. G. Karshenboim: JETP 82, 403 (1996); J. Phys. B29, L21 (1996)ADSGoogle Scholar
  33. 33.
    K. Melnikov and T. van Ritbergen: this edition 344–351Google Scholar
  34. 34.
    I. Sick, J. S. McCarthy and R. R. Whitney: Plys. Lett. B 64, 33 (1976)CrossRefADSGoogle Scholar
  35. 35.
    L. A. Schaller, L. Schellenberg, A. Rusetschi and H. Schneuwly: Nucl. Phys. A343, 333 (1980)ADSGoogle Scholar
  36. 36.
    J. W. de Vries, D. Doornhof, C. W. de Jager, R. P. Singhal, S. Salem, G. A. Peterson and R. S. Hicks: Phys. Lett. B205, 22 (1988)ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

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

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