Precision spectroscopy of the helium atom

  • Shui-ming Hu (胡水明)
  • Zheng-Tian Lu (卢征天)
  • Zong-Chao Yan (严宗朝)
Review Article


Persistent efforts in both theory and experiment have yielded increasingly precise understanding of the helium atom. Because of its simplicity, the helium atom has long been a testing ground for relativistic and quantum electrodynamic effects in few-body atomic systems theoretically and experimentally. Comparison between theory and experiment of the helium spectroscopy in 1s2p3P J can potentially extract a very precise value of the fine structure constant á. The helium atom can also be used to explore exotic nuclear structures. In this paper, we provide a brief review of the recent advances in precision calculations and measurements of the helium atom.


precision spectroscopy helium atom fine structure constant 

PACS numbers

32.30.-r 31.30.if 


  1. 1.
    E. A. Hylleraas, Z. Phys., 1929, 54: 347CrossRefADSGoogle Scholar
  2. 2.
    T. Kinoshita, Phys. Rev., 1957, 105: 1490MATHCrossRefADSGoogle Scholar
  3. 3.
    K. Frankowski and C. L. Pekeris, Phys. Rev., 1966, 146: 46CrossRefADSGoogle Scholar
  4. 4.
    G. W. F. Drake, Long Range Casimir Forces: Theory and Recent Experiments on Atomic Systems, Edited by F. S. Levin and D. A. Micha, New York: Plenum Press, 1993: 107Google Scholar
  5. 5.
    S. P. Goldman, Phys. Rev. A, 1998, 57: R677CrossRefADSGoogle Scholar
  6. 6.
    V. I. Korobov, Phys. Rev. A, 2002, 66: 024501CrossRefADSGoogle Scholar
  7. 7.
    C. Schwartz, Int. J. Mod. Phys. E, 2006, 15: 877CrossRefADSGoogle Scholar
  8. 8.
    H. Nakashima and H. Nakatsuji, J. Chem. Phys., 2007, 127: 224104CrossRefADSGoogle Scholar
  9. 9.
    G. W. F. Drake and Z.-C. Yan, Can. J. Phys., 2008, 86: 45CrossRefADSGoogle Scholar
  10. 10.
    K. Pachucki, Phys. Rev. A, 2006, 74: 062510CrossRefADSGoogle Scholar
  11. 11.
    Z.-C. Yan and G. W. F. Drake, Phys. Rev. Lett., 1995, 74: 4791CrossRefADSGoogle Scholar
  12. 12.
    G. W. F. Drake, Can. J. Phys., 2002, 80: 1195CrossRefADSGoogle Scholar
  13. 13.
    T. Zhang, Phys. Rev. A, 1996, 53: 3896CrossRefADSGoogle Scholar
  14. 14.
    T. Zhang, Phys. Rev. A, 1996, 54: 1252CrossRefADSGoogle Scholar
  15. 15.
    T. Zhang, Z.-C. Yan, and G. W. F. Drake, Phys. Rev. Lett., 1996, 77: 1715CrossRefADSGoogle Scholar
  16. 16.
    T. Zhang and G. W. F. Drake, Phys. Rev. A, 1996, 54: 4882CrossRefADSGoogle Scholar
  17. 17.
    T. Zhang, Phys. Rev. A, 1997, 56: 270CrossRefADSGoogle Scholar
  18. 18.
    K. Pachucki, J. Phys. B, 1999, 32: 137CrossRefADSGoogle Scholar
  19. 19.
    K. Pachucki and J. Sapirstein, J. Phys. B, 2000, 33: 5297CrossRefADSGoogle Scholar
  20. 20.
    K. Pachucki and J. Sapirstein, J. Phys. B, 2002, 35: 1783CrossRefADSGoogle Scholar
  21. 21.
    K. Pachucki and J. Sapirstein, J. Phys. B, 2003, 36: 803CrossRefADSGoogle Scholar
  22. 22.
    K. Pachucki, Phys. Rev. Lett., 2006, 97: 013002CrossRefADSGoogle Scholar
  23. 23.
    D. Hanneke, S. Fogwell, and G. Gabrielse, Phys. Rev. Lett., 2008, 100: 120801CrossRefADSGoogle Scholar
  24. 24.
    P. J. Mohr and B. N. Taylor, Rev. Mod. Phys., 2000, 72: 351CrossRefADSGoogle Scholar
  25. 25.
    C. Schwartz, Phys. Rev., 1964, 134: A1181CrossRefADSGoogle Scholar
  26. 26.
    C. H. Storry, M. C. George, and E. A. Hessels, Phys. Rev. Lett., 2000, 84: 3274CrossRefADSGoogle Scholar
  27. 27.
    M. C. George, L. D. Lombardi, and E. A. Hessels, Phys. Rev. Lett., 2001, 87: 173002CrossRefADSGoogle Scholar
  28. 28.
    F. Minardi, G. Bianchini, P. C. Pastor, G. Giusfredi, F. S. Pavone, and M. Inguscio, Phys. Rev. Lett., 1999, 82: 1112CrossRefADSGoogle Scholar
  29. 29.
    G. Giusfredi, P. C. Pastor, P. De Natale, D. Mazzotti, C. De Mauro, L. Fallani, G. Hagel, V. Krachmalnicoff, and M. Inguscio, Can. J. Phys., 2005, 83: 301CrossRefADSGoogle Scholar
  30. 30.
    J. Castillega, D. Livingston, A. Sanders, and D. Shiner, Phys. Rev. Lett., 2000, 84: 4321CrossRefADSGoogle Scholar
  31. 31.
    T. Zelevinsky, D. Farkas, and G. Gabrielse, Phys. Rev. Lett., 2005, 95: 203001CrossRefADSGoogle Scholar
  32. 32.
    P. Mueller, L. B. Wang, G.W. F. Drake, K. Bailey, Z. T. Lu, and T. P. O’Connor, Phys. Rev. Lett., 2005, 94: 133001CrossRefADSGoogle Scholar
  33. 33.
    D. Shiner, R. Dixson, and V. Vedantham, Phys. Rev. Lett., 1995, 74: 3553CrossRefADSGoogle Scholar
  34. 34.
    P. Mueller, I. A. Sulai, A. C. C. Villari, J. A. Alcantara-Nunez, R. Alves-Conde, K. Bailey, G. W. F. Drake, M. Dubois, C. Eleon, G. Gaubert, R. J. Holt, R.V. F. Janssens, N. Lecesne, Z. T. Lu, T. P. O’Connor, M. G. Saint-Laurent, J. C. Thomas, and L. B. Wang, Phys. Rev. Lett., 2007, 99: 252501CrossRefADSGoogle Scholar
  35. 35.
    L. B. Wang, P. Mueller, K. Bailey, G. W. F. Drake, J. P. Greene, D. Henderson, R. J. Holt, R. V. F. Janssens, C. L. Jiang, Z. T. Lu, T. P. O’Connor, R. C. Pardo, K. E. Rehm, J. P. Schiffer, and X. D. Tang, Phys. Rev. Lett., 2004, 93: 142501CrossRefADSGoogle Scholar
  36. 36.
    J. D. Prestage, E. A. Hinds, and F. M. J. Pichanick, Phys. Rev. Lett., 1983, 50: 828CrossRefADSGoogle Scholar
  37. 37.
    Q. X. Wu and G. W. F. Drake, J. Phys. B, 2007, 40: 393CrossRefADSGoogle Scholar
  38. 38.
    I. A. Sulai, Q. Wu, M. Bishof, G. W. F. Drake, Z.-T. Lu, P. Mueller, and R. Santra, Phys. Rev. Lett., 2008, 101: 173001CrossRefADSGoogle Scholar
  39. 39.
    W. E. Lamb and R. C. Retherford, Phys. Rev., 1947, 72: 241CrossRefADSGoogle Scholar
  40. 40.
    K. S. E. Eikema, Ubachs W., W. Vassen, and W. Hogervorst, Phys. Rev. A, 1997, 55: 1866CrossRefADSGoogle Scholar
  41. 41.
    P. C. Pastor, Giusfredi G., De Natale P., G. Hagel, C. De Mauro, and M. Inguscio, Phys. Rev. Lett., 2004, 92: 023001CrossRefADSGoogle Scholar
  42. 42.
    F. S. Pavone, F. Marin, P. De Natale, M. Inguscio, and F. Biraben, Phys. Rev. Lett., 1994, 73: 42CrossRefADSGoogle Scholar
  43. 43.
    C. Dorrer, Nez F., B. deBeauvoir, L. Julien, and F. Biraben, Phys. Rev. Lett., 1997, 78: 3658CrossRefADSGoogle Scholar
  44. 44.
    E. E. Eyler, D. E. Chieda, M. C. Stowe, M. J. Thorpe, T. R. Schibli, and J. Ye, Euro. Phys. J. D, 2008, 48: 43CrossRefADSGoogle Scholar
  45. 45.
    K. A. H. van Leeuwen, and W. Vassen, Europhys. Lett., 2006, 76: 409CrossRefADSGoogle Scholar

Copyright information

© Higher Education Press and Springer-Verlag 2009

Authors and Affiliations

  • Shui-ming Hu (胡水明)
    • 1
  • Zheng-Tian Lu (卢征天)
    • 2
    • 3
  • Zong-Chao Yan (严宗朝)
    • 4
  1. 1.Hefei National Laboratory for Physical Sciences at the MicroscaleUniversity of Science and Technology of ChinaHefeiChina
  2. 2.Physics DivisionArgonne National LaboratoryArgonneUSA
  3. 3.Department of Physics and Enrico Fermi InstituteUniversity of ChicagoChicagoUSA
  4. 4.Department of PhysicsUniversity of New BrunswickFrederictonCanada

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