Skip to main content
Log in

Many-body calculations of the hyperfine interaction of some excited states of alkali atoms, using approximate Brueckner or natural orbitals

  • Published:
Zeitschrift für Physik A Atoms and Nuclei

Abstract

The theory of maximum-overlap or Brueckner orbitals and of natural Orbitals is reviewed for closed-shell systems. A technique is described to calculate approximate Brueckner or natural orbitals for systems with a single valence electron, and this is applied together with the linked-diagram expansion of effective operators to evaluate the hyperfine interaction of some excited states of alkali atoms. It is found that it is in this way possible to reproduce reasonably well also the highly perturbed interactions of the excitedd states, which is not possible in a low-order expansion based on HF orbitals. Numerical results are given for the 5d state in K and the 4d state in Rb, where good experimental information is available.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. See, for instance Moore, C.: Atomic Energy Levels, circular 467, NBS (USA) 1949

    Google Scholar 

  2. Harper, C.D., Levenson, M.D.: Phys. Lett.56A, 361 (1976)

    Google Scholar 

  3. Chang, S., Gupta, R., Happer, W.: Phys. Rev. Lett.27, 1036 (1971)

    Google Scholar 

  4. Gupta, R., Chang, S., Tai, C., Happer, W.: Phys. Rev. Lett.29, 695 (1972)

    Google Scholar 

  5. Svanberg, S., Tsekeris, P., Happer, W.: Phys. Rev. Lett.30, 817 (1973)

    Google Scholar 

  6. Svanberg, S., Tsekeris, P.: Phys. Rev. A11, 1125 (1975)

    Google Scholar 

  7. See, for instance, Lyons, J.D., Pu, R.T., Das, T.P.: Phys. Rev.178, 103 (1969)

    Google Scholar 

  8. Nesbet, R.K.: Phys. Rev. A2, 661 (1970)

    Google Scholar 

  9. Schulman, J.M., Lee, W.S.: Phys. Rev. A5, 13 (1970)

    Google Scholar 

  10. Beck, D.R., Nicolaides, C.A.: Int. J. Quant. Chem. S8, 17 (1974)

    Google Scholar 

  11. Garpman, S., Lindgren, I., Lindgren, J., Morrison, J.: Phys. Rev. A11, 758 (1975)

    Google Scholar 

  12. Lindgren, I.: Atomic Physics4, p. 747 (Plenum, New York, 1975)

    Google Scholar 

  13. Garpman, S., Lindgren, I., Lindgren, J., Morrison, J.: Z. Physik A276, 167 (1976)

    Google Scholar 

  14. Brenig, W.: Nucl. Phys.4, 363 (1957)

    Google Scholar 

  15. Nesbet, R.K.: Phys. Rev.109, 1632 (1958)

    Google Scholar 

  16. Löwdin, P.O.: Phys. Rev.97, 1474 (1955); Adv. in Chem. Phys.2, 207 (1959)

    Google Scholar 

  17. Lindgren, I.: J. Phys. B7, 2441 (1974)

    Google Scholar 

  18. Kvasnicka, V.: Czech. J. Phys. B24, 605 (1974); B25, 371 (1975)

    Google Scholar 

  19. Löwdin, P.O.: Phys. Rev.139, A 357 (1965)

    Google Scholar 

  20. Löwdin, P.O.: J. Math. Phys.3, 1171 (1958)

    Google Scholar 

  21. Kobe, D.H.: Phys. Rev. C3, 417 (1971)

    Google Scholar 

  22. Schäfer, L., Weidenmüller, H.A.: Nucl. Phys. A174 (1971)

  23. Kobe, D.H.: J. Chem. Phys.50, 5183 (1969)

    Google Scholar 

  24. Brandow, B.H.: Rev. Mod. Phys.39, 771 (1967)

    Google Scholar 

  25. Kirson, M.W.: Nucl. Phys. A115, 49 (1968); A139, 57 (1969)

    Google Scholar 

  26. Kobe, D.H.: J. Chem. Phys.50, 5183 (1969)

    Google Scholar 

  27. Hartmann, W.: Z. Physik240, 323 (1970)

    Google Scholar 

  28. Figger, H., Walther, H.: Z. Physik267, 1 (1974)

    Google Scholar 

  29. Belin, G., Holmgren, L., Lindgren, I., Svanberg, S.: Physica Scripta12, 287 (1975)

    Google Scholar 

  30. Liao, K.H., Lam, L.K., Gupta, R., Happer, W.: Phys. Rev. Letters32, 1340 (1974)

    Google Scholar 

  31. Lee, T., Rogers, J.E., Das, T.P., Sternheimer, R.M.: Phys. Rev.14A, 51 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors wish to acknowledge stimulating discussions with Drs. Sune Svanberg and John Morrison. The receipt of a preprint of the paper by Lee, Rogers, Das and Sternheimer is furthermore acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lindgren, I., Lindgren, J. & Mårtensson, AM. Many-body calculations of the hyperfine interaction of some excited states of alkali atoms, using approximate Brueckner or natural orbitals. Z Physik A 279, 113–125 (1976). https://doi.org/10.1007/BF01437866

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01437866

Keywords

Navigation