Hyperfine Interactions

, Volume 127, Issue 1–4, pp 279–286 | Cite as

Calculation of the hyperfine structure of heavy H and Li like ions

  • V.M. Shabaev
  • A.N. Artemyev
  • O.M. Zherebtsov
  • V.A. Yerokhin
  • G. Plunien
  • G. Soff


The present status of calculations of the hyperfine splitting and the transition probability between the hyperfine splitting components in hydrogen and lithium like ions is discussed. The results of the calculations are compared with recent experimental data. A special attention is focused on the hyperfine splitting in hydrogen like lead and lithium like bismuth. It is shown that the theoretical prediction for the ground state hyperfine splitting in lead based on the single particle nuclear model for the Bohr-Weisskopf effect is in fair agreement with experiment. The theoretical prediction for the ground state hyperfine splitting in lithium like bismuth is improved due to more accurate calculations of the interelectronic interaction, QED, and nuclear corrections.

hyperfine splitting heavy ions 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    V.M. Shabaev, J. Phys. B 27 (1994) 5825.CrossRefADSGoogle Scholar
  2. [2]
    P. Pyykko, E. Pajanne and M. Inokuti, Internat. J. Quantum Chem. 7 (1973) 785.CrossRefGoogle Scholar
  3. [3]
    V.M. Shabaev, M. Tomaselli, T. Kühl, A.N. Artemyev and V.A. Yerokhin, Phys. Rev. A 56 (1997) 252.CrossRefADSGoogle Scholar
  4. [4]
    P. Sunnergren, H. Persson, S. Salomonson, S.M. Schneider, I. Lindgren and G. Soff, Phys. Rev. A 58 (1998) 1055.CrossRefADSGoogle Scholar
  5. [5]
    V.M. Shabaev, in: Atomic Physics with Heavy Ions, eds. H.F. Beyer and V.P. Shevelko (Springer, Berlin, 1999) p. 139.Google Scholar
  6. [6]
    I. Klaft, S. Borneis, T. Engel, B. Fricke, R. Grieser, G. Huber, T. Kühl, D. Marx, R. Neumann, S. Schröder, P. Seelig and L. Völker, Phys. Rev. Lett. 73 (1994) 2425.CrossRefADSGoogle Scholar
  7. [7]
    J.R. Crespo Lopez-Urrutia, P. Beiersdorfer, D. Savin and K. Widman, Phys. Rev. Lett. 77 (1996) 826.CrossRefADSGoogle Scholar
  8. [8]
    J.R. Crespo Lopez-Urrutia, P. Beiersdorfer, K. Widmann, A.-M. Mårtensson-Pendrill and M.G.H. Gustavsson, Phys. Rev. A 57 (1998) 879.CrossRefADSGoogle Scholar
  9. [9]
    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, M. Tomaselli, L. Völker, H. Winter, M. Würtz, K. Beckert, B. Franzke, F. Nolden, H. Reich, M. Steck and T. Winkler, Phys. Rev. Lett. 81 (1998) 4824.CrossRefADSGoogle Scholar
  10. [10]
    P. Raghavan, At. Data Nucl. Data Tables 42 (1989) 189.CrossRefADSGoogle Scholar
  11. [11]
    M.G.H. Gustavsson and A.-M. Mårtensson-Pendrill, Phys. Rev. A 58 (1998) 3611.CrossRefADSGoogle Scholar
  12. [12]
    O. Lutz and G. Stricker, Phys. Lett. A 35 (1971) 397.CrossRefADSGoogle Scholar
  13. [13]
    H.M. Gibbs and C.M. White, Phys. Rev. A 188 (1969) 180.CrossRefADSGoogle Scholar
  14. [14]
    V.M. Shabaev, M.B. Shabaeva, I.I. Tupitsyn and V.A. Yerokhin, Hyp. Interact. 114 (1998) 129.CrossRefADSGoogle Scholar
  15. [15]
    M.J. Margerie, C. R. Acad. Sci. Paris Sér. B 271 (1970) 209.ADSGoogle Scholar
  16. [16]
    O.P. Sushkov, V.V. Flambaum and I.B. Khriplovich, Opt. Spectr. 44 (1978) 2.ADSGoogle Scholar
  17. [17]
    M. Tomaselli, T. Kühl, P. Seelig, C. Holbrow and E. Kankeleit, Phys. Rev. C 58 (1998) 1524.CrossRefADSGoogle Scholar
  18. [18]
    M.B. Shabaeva and V.M. Shabaev, Phys. Rev. A 52 (1995) 2811.CrossRefADSGoogle Scholar
  19. [19]
    V.M. Shabaev, M.B. Shabaeva, I.I. Tupitsyn, V.A. Yerokhin, A.N. Artemyev, T. Kühl, M. Tomaselli and O.M. Zherebtsov, Phys. Rev. A 57 (1998) 149; 58 (1998) 1610.CrossRefADSGoogle Scholar
  20. [20]
    P. Beiersdorfer, A. Osterheld, J. Scofield, J. Crespo Lopez-Urrutia and K. Widmann, Phys. Rev. Lett. 80 (1998) 3022.CrossRefADSGoogle Scholar
  21. [21]
    V.M. Shabaev, Canad. J. Phys. 76 (1998) 907.CrossRefADSGoogle Scholar
  22. [22]
    S.A. Blundell, K.T. Cheng and J. Sapirstein, Phys. Rev. A 55 (1997) 1857.CrossRefADSGoogle Scholar
  23. [23]
    H. Persson, S. Salomonson, P. Sunnergren and I. Lindgren, Phys. Rev. A 56 (1997) R2499.CrossRefADSGoogle Scholar
  24. [24]
    H. Winter, S. Borneis, A. Dax, S. Faber, T. Kühl, D. Marx, F. Schmitt, P. Seelig, W. Seelig, V.M. Shabaev, M. Tomaselli and M. Würtz, GSI Scientific Report (1998).Google Scholar
  25. [25]
    M. Diederich, H. Häffner, K. Hermanspahn, M. Immel, H.-J. Kluge, R. Ley, R. Mann, S. Stahl, W. Quint, J. Verdu, G. Werth, in: Trapped Charged Particles and Fundamental Physics, eds. D.H.E. Dubin and D. Schneider, AIP Conference Proceedings (Amer. Inst. Phys., New York, 1999) p. 43.Google Scholar
  26. [26]
    H. Häffner and W. Quint, private communication.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • V.M. Shabaev
    • 1
    • 2
  • A.N. Artemyev
    • 1
    • 2
  • O.M. Zherebtsov
    • 1
  • V.A. Yerokhin
    • 2
    • 3
  • G. Plunien
    • 4
  • G. Soff
    • 4
  1. 1.Department of PhysicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Max Planck Institut für Physik komplexer SystemeDresdenGermany
  3. 3.Institute for High Performance Computing and Data BasesSt. PetersburgRussia
  4. 4.Institut für Theoretische PhysikTechnische Universität DresdenDresdenGermany

Personalised recommendations