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The European Physical Journal D

, Volume 8, Issue 1, pp 59–73 | Cite as

Relativistic many-body and QED effects on the hyperfine structure of lithium-like ions

  • S. Boucard
  • P. IndelicatoEmail author
Article

Abstract

The hyperfine splitting of the ground state of three-electron ions is studied in detail with the help of the multi-configuration Dirac-Fock method. We study the role of the magnetic electron-electron interaction and of the negative energy continuum. An all-order evaluation of some vacuum polarization corrections is performed. The Bohr-Weisskopf effect is evaluated in a simple model.

PACS

32.10.Fn Fine and hyperfine structure 31.30.Jv Relativistic and quantum electrodynamic effects in atoms and molecules 31.25.Eb Electron-correlation calculations for atoms and ions: ground state 

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References

  1. 1.
    I. Klaft, S. Borneis, T. Engel, B. Fricke, R. Grieser, G. Huber, T. Kühl, D. Marx, R. Neumann, S. Schröder, P. Seelig, L. Völker, Phys. Rev. Lett. 73, 2425 (1994).ADSCrossRefGoogle Scholar
  2. 2.
    P. Seelig, S. Borneis, A. Dax, T. Engel, S. Faber, M. Gerlach, C. Holbrow, G. Huber, T. Kühl, D. Marx, K. Meier, P. Merz, W. Quint, F. Schmitt, L. Völker, H. Winter, M. Würtz, K. Beckert, B. Franzke, F. Nolden, H. Reich, M. Steck, T. Winkler, Phys. Rev. Lett. 81, 4824(1998).ADSCrossRefGoogle Scholar
  3. 3.
    J.R.C. López-Urrutia, P. Beiersdorfer, D.W. Savin, K. Widmann, Phys. Rev. Lett. 77, 826 (1996).ADSCrossRefGoogle Scholar
  4. 4.
    J.R.C. López-Urrutia, P. Beiersdorfer, K. Widmann, B.B. Birket, A.M. Martenson-Pendrill, M.G.H. Gustavson, Phys. Rev. A 57, 879 (1998).ADSCrossRefGoogle Scholar
  5. 5.
    A. Bohr, V.F. Weisskopf, Phys. Rev. 77, 94 (1950).ADSCrossRefGoogle Scholar
  6. 6.
    M. Tomaselli, S.M. Schneider, E. Kankeleit, T. Kühl, Phys. Rev. C 51, 2989 (1995).ADSCrossRefGoogle Scholar
  7. 7.
    L.N. Labzowsky, W.R. Johnson, G. Soff, S.M. Schneider, Phys. Rev. A 51, 4597 (1995).ADSCrossRefGoogle Scholar
  8. 8.
    V.M. Shabaev, M.B. Shabaeva, I.I. Tupitsyn, V.A. Yerokhin, A.N. Artemyev, T. Kühl, M. Tomaselli, Phys. Rev. A 57, 149 (1998).ADSCrossRefGoogle Scholar
  9. 9.
    V.M. Shabaev, M.B. Shabaeva, I.I. Tupitsyn, V.A. Yerokhin, A.N. Artemyev, T. Kühl, M. Tomaselli, Phys. Rev. A 58, 1610 (1998).ADSCrossRefGoogle Scholar
  10. 10.
    C.S. Wood, S.C. Bennet, D. Cho, B.P. Masterson, J.L. Roberts, C.E. Tanner, C.E. Wieman, Science 275, 1759 (1997).CrossRefGoogle Scholar
  11. 11.
    P. Indelicato, Phys. Rev. A 51, 1132 (1995).ADSCrossRefGoogle Scholar
  12. 12.
    P. Indelicato, Phys. Rev. Lett. 77, 3323 (1996).ADSCrossRefGoogle Scholar
  13. 13.
    A. Derevianko, I.M. Savukov, W.R. Johnson, Phys. Rev. A 58, 4453 (1998).ADSCrossRefGoogle Scholar
  14. 14.
    J.P. Desclaux, Comp. Phys. Commun. 9, 31 (1975).ADSCrossRefGoogle Scholar
  15. 15.
    I.P. Grant, Adv. Phys. 19, 747 (1970).ADSCrossRefGoogle Scholar
  16. 16.
    G.E. Brown, D.E. Ravenhall, Proc. R. Soc. Lond. A 208, 552 (1951).ADSCrossRefGoogle Scholar
  17. 17.
    J. Sucher, Phys. Rev. A 22, 348 (1980).ADSMathSciNetCrossRefGoogle Scholar
  18. 18.
    M.H. Mittleman, Phys. Rev. A 24, 1167 (1981).ADSCrossRefGoogle Scholar
  19. 19.
    J.P. Desclaux, in Methods and Techniques in Computational Chemistry, edited by E. Clementi (STEF, Cagliary, 1993), Vol. A.Google Scholar
  20. 20.
    A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, New Jersey, 1974).zbMATHGoogle Scholar
  21. 21.
    I. Lindgren, A. Rosén, Case Stud. At. Phys. 4, 93 (1974).Google Scholar
  22. 22.
    A.I. Akhiezer, V.B. Berestetskii, Quantum Electrodynamics (Interscience, New York, 1965).zbMATHGoogle Scholar
  23. 23.
    K.T. Cheng, W.J. Childs, Phys. Rev. A 31, 2775 (1985).ADSCrossRefGoogle Scholar
  24. 24.
    W.R. Johnson, G. Soff, At. Data Nucl. Data Tables 33, 405 (1985).ADSCrossRefGoogle Scholar
  25. 25.
    P. Indelicato, E. Lindroth, Phys. Rev. A 46, 2426 (1992).ADSCrossRefGoogle Scholar
  26. 26.
    A.J. Freeman, M. Weinert, J.P. Desclaux, J.V. Mallow, J. Magn. Magn. Mat. 22, L1 (1980).ADSCrossRefGoogle Scholar
  27. 27.
    S.M. Schneider, W. Greiner, G. Soff, Phys. Rev. A 50, 118 (1994).ADSCrossRefGoogle Scholar
  28. 28.
    H. Persson, S.M. Schneider, W. Greiner, G. Soff, I. Lindgren, Phys. Rev. Lett. 76, 1433 (1996).ADSCrossRefGoogle Scholar
  29. 29.
    S.A. Blundell, K.T. Cheng, J. Sapirstein, Phys. Rev. A 55, 1857 (1997).ADSCrossRefGoogle Scholar
  30. 30.
    S. Klarsfeld, Phys. Lett. B 66, 86 (1977).ADSCrossRefGoogle Scholar
  31. 31.
    R.C. Barrett, S.J. Brodsky, G.W. Erickson, M.H. Goldhaber, Phys. Rev. 166, 1589 (1968).ADSCrossRefGoogle Scholar
  32. 32.
    L.W. Fullerton, G.A. Rinker, Phys. Rev. A 13, 1283 (1976).ADSCrossRefGoogle Scholar
  33. 33.
    W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1986), p. 818.zbMATHGoogle Scholar
  34. 34.
    M. Abramowitz, I.A. Stegun, in Handbook of mathematical functions (Dover, New York, 1965), p. 1046.Google Scholar
  35. 35.
    P.J. Mohr, G. Plunien, G. Soff, Phys. Rep. 293, 227 (1998).ADSCrossRefGoogle Scholar
  36. 36.
    K. Pachucki, Phys. Rev. A 54, 1994 (1996).ADSCrossRefGoogle Scholar
  37. 37.
    S.G. Karshenboim, Z. Phys. D 36, 11 (1996).ADSCrossRefGoogle Scholar
  38. 38.
    P. Indelicato, J.P. Desclaux, Phys. Rev. A 42, 5139 (1990).ADSCrossRefGoogle Scholar
  39. 39.
    J. Sapirstein, K.T. Cheng, M.H. Chen, Phys. Rev. A 59, 259 (1999).ADSCrossRefGoogle Scholar
  40. 40.
    P. Raghavan, At. Data Nucl. Data Tables 42, 189 (1989).ADSCrossRefGoogle Scholar
  41. 41.
    G. Nachtsheim, Ph.D. thesis, Universitat Bonn, 1980.Google Scholar
  42. 42.
    L.K. Peker, Nuc. Data Sheets 50, 137 (1987).ADSCrossRefGoogle Scholar
  43. 43.
    J. Bieron, P. Jönsson, C.F. Fischer, Phys. Rev. A 53, 1 (1996).CrossRefGoogle Scholar
  44. 44.
    X.-X. Guan, Z.-W. Wang, Eur. Phys. J. D 2, 21 (1998).ADSGoogle Scholar
  45. 45.
    V.M. Shabaev, M. Tomaselli, T. Kühl, A.N. Artemyev, V.A. Yerokhin, Phys. Rev. A 56, 252 (1997).ADSCrossRefGoogle Scholar
  46. 46.
    P. Sunnergren, H. Persson, S. Salomonson, S.M. Schneider, I. Lindgren, G. Soff, Phys. Rev. A 58, 1055 (1998).ADSCrossRefGoogle Scholar
  47. 47.
    P. Beiersdorfer, A. Osterheld, J. Scofield, J.C. Lòpez-Urrutia, K. Widmann, Phys. Rev. Lett. 80, 3022 (1998).ADSCrossRefGoogle Scholar
  48. 48.
    M.B. Shabaeva, V.M. Shabaev, Phys. Rev. A 52, 2811 (1995).ADSCrossRefGoogle Scholar
  49. 49.
    V.M. Shabaev, M.B. Shabaeva, I.I. Tupitsyn, V.A. Yerokin, Hyp. Int. 114, 147 (1998).CrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica Springer-Verlag 2000

Authors and Affiliations

  1. 1.Laboratoire Kastler-BrosselÉcole Normale Supérieure et Université Pierre et Marie CurieParis Cedex 05France

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