Skip to main content
SpringerLink
Log in

High-accuracy calculations of dipole, quadrupole, and octupole electric dynamic polarizabilities and van der Waals coefficients C 6, C 8, and C 10 for alkaline-earth dimers

  • Atoms, Molecules, Optics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The static and dynamic electric dipole, quadrupole, and octupole polarizabilities of the alkaline-earth atoms (beryllium, magnesium, calcium, strontium, and barium) in the ground state were calculated. The dynamic polarizabilities obtained were used to calculate the van der Waals coefficients C 6, C 8, and C 10 of alkaline-earth metal dimers for the interaction of two like atoms in the ground state. The results are compared with other theoretical and experimental data.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. 71, 1 (1999).

    Article  ADS  Google Scholar 

  2. Bose-Einstein Condensation in Atomic Gases, Ed. by M. Ignuscio, S. Stringari, and C. Wieman (IOP Press, Amsterdam, 1999).

    Google Scholar 

  3. A. J. Leggett, Rev. Mod. Phys. 73, 307 (2001).

    Article  ADS  Google Scholar 

  4. I. Courtillot, A. Quessada, R. P. Kovacich, et al., Phys. Rev. A 68, 030501(R) (2003).

  5. T. Ido and H. Katori, Phys. Rev. Lett. 91, 053001 (2003).

  6. T. Ido, T. H. Loftus, M. M. Boyd, et al., Phys. Rev. Lett. 94, 153001 (2005).

  7. M. Machholm, P. S. Julienne, and K.-A. Suominen, Phys. Rev. A 59, R4113 (1999).

    Article  ADS  Google Scholar 

  8. G. Zinner, T. Binnewies, F. Riehle, and E. Tiemann, Phys. Rev. Lett. 85, 2292 (2000).

    Article  ADS  Google Scholar 

  9. T. P. Dinneen, K. R. Vogel, E. Arimondo, et al., Phys. Rev. A 59, 1216 (1999).

    Article  ADS  Google Scholar 

  10. S. G. Porsev and A. Derevianko, Phys. Rev. A 65, 020701(R) (2002).

  11. A. Dalgarno and W. D. Davison, in Advances in Atomic and Molecular Physics, Ed. by D. Bates and I. Estermann (Academic, New York, 1966), Vol. 2, p. 1.

    Google Scholar 

  12. S. H. Patil and K. T. Tang, J. Chem. Phys. 106, 2298 (1997).

    Article  ADS  Google Scholar 

  13. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskiĭ, Quantum Theory of Angular Momentum (Nauka, Moscow, 1975; World Sci., Singapore, 1988).

    MATH  Google Scholar 

  14. A. Derevianko, W. R. Johnson, M. S. Safronova, and J. F. Babb, Phys. Rev. Lett. 82, 3589 (1999).

    Article  ADS  Google Scholar 

  15. S. G. Porsev and A. Derevianko, J. Chem. Phys. 119, 844 (2003).

    Article  ADS  Google Scholar 

  16. V. A. Dzuba, V. V. Flambaum, and M. G. Kozlov, Phys. Rev. A 54, 3948 (1996).

    Article  ADS  Google Scholar 

  17. V. A. Dzuba, M. G. Kozlov, S. G. Porsev, and V. V. Flambaum, Zh. Éksp. Teor. Fiz. 114, 1636 (1998) [JETP 87, 885 (1998)].

    Google Scholar 

  18. M. G. Kozlov and S. G. Porsev, Opt. Spektrosk. 87, 384 (1999) [Opt. Spectrosc. 87, 352 (1999)].

    Google Scholar 

  19. M. G. Kozlov, S. G. Porsev, and Yu. G. Rakhlina, Pis’ma Zh. Éksp. Teor. Fiz. 72, 862 (2000) [JETP 72, 595 (2000)].

    Google Scholar 

  20. S. G. Porsev, M. G. Kozlov, Yu. G. Rakhlina, and A. Derevianko, Phys. Rev. A 64, 012508 (2001).

    Google Scholar 

  21. D. Kolb, W. R. Johnson, and P. Shorer, Phys. Rev. A 26, 19 (1982).

    Article  ADS  Google Scholar 

  22. W. R. Johnson, D. Kolb, and K. N. Huang, At. Data Nucl. Data Tables 28, 333 (1983).

    Article  ADS  Google Scholar 

  23. R. M. Sternheimer, Phys. Rev. 80, 102 (1950).

    Article  ADS  Google Scholar 

  24. A. Dalgarno and J. T. Lewis, Proc. R. Soc. London 233, 70 (1955).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  25. S. G. Porsev, Yu. G. Rakhlina, and M. G. Kozlov, J. Phys. B 32, 1113 (1999).

    Article  ADS  Google Scholar 

  26. S. G. Porsev, Yu. G. Rakhlina, and M. G. Kozlov, Phys. Rev. A 60, 2781 (1999).

    Article  ADS  Google Scholar 

  27. C. E. Moore, Atomic Energy Levels (National Bureau of Standards, U.S. GPO, Washington, 1971), Vols. 1–3, Natl. Stand. Ref. Data Ser.; No. 35.

    Google Scholar 

  28. C. Degenhardt, T. Binnewies, G. Wilpers, et al., Phys. Rev. A 67, 043408 (2003).

  29. M. Yasuda, T. Kishimoto, M. Takamoto, and H. Katori, physics/0501053.

  30. J. Mitroy and M. W. J. Bromley, Phys. Rev. A 68, 052714 (2003).

    Google Scholar 

  31. S. H. Patil, J. Phys. D 10, 341 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  32. E. F. Archibong and A. Thakkar, Phys. Rev. A 44, 5478 (1991).

    Article  ADS  Google Scholar 

  33. F. Maeder and W. Kutzelnigg, Chem. Phys. 42, 95 (1979).

    Article  Google Scholar 

  34. J. Komasa, Phys. Rev. A 65, 012506 (2002).

    Google Scholar 

  35. G. Maroulis and A. Thakkar, J. Phys. B 21, 3819 (1988).

    Article  ADS  Google Scholar 

  36. L. Lundin, B. Engman, J. Hilke, and I. Martinson, Phys. Scr. T 8, 274 (1973).

    Google Scholar 

  37. A. Lurio and R. Novick, Phys. Scr. 134, A608 (1964).

    ADS  Google Scholar 

  38. H. L. Schwartz, T. M. Miller, and B. Bederson, Phys. Rev. A 10, 1924 (1974).

    Article  ADS  Google Scholar 

  39. A. Bizzarri and M. C. E. Huber, Phys. Rev. A 42, 5422 (1990).

    Article  ADS  Google Scholar 

  40. O. Allard, G. Samuelis, A. Pashov, et al., Eur. Phys. J. D 26, 155 (2003).

    Article  ADS  Google Scholar 

  41. J. F. Stanton, Phys. Rev. A 49, 1698 (1994).

    Article  ADS  Google Scholar 

  42. J. M. Standard and P. R. Certain, J. Chem. Phys. 83, 3002 (1985).

    Article  ADS  Google Scholar 

  43. M. Y. Amusia and N. A. Cherepkov, Case Stud. At. Phys. 5, 47 (1975).

    Google Scholar 

  44. W. C. Stwalley, J. Chem. Phys. 54, 4517 (1971).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Petersburg Nuclear Physics Institute, Russian Academy of Sciences, Gatchina, Leningrad oblast, 188300, Russia

    S. G. Porsev

  2. Physics Department, University of Nevada, Reno, Nevada, 89557, USA

    A. Derevianko

Authors
  1. S. G. Porsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Derevianko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © S.G. Porsev, A. Derevianko, 2006, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 129, No. 2, pp. 227–238.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Porsev, S.G., Derevianko, A. High-accuracy calculations of dipole, quadrupole, and octupole electric dynamic polarizabilities and van der Waals coefficients C 6, C 8, and C 10 for alkaline-earth dimers. J. Exp. Theor. Phys. 102, 195–205 (2006). https://doi.org/10.1134/S1063776106020014

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776106020014

PACS numbers

Search

Navigation