Skip to main content
SpringerLink
Log in

Three‐Body Approximation for the Investigation of Efimov States in Molecular Systems

  • Published:
Journal of Russian Laser Research Aims and scope

Abstract

Using the three‐body approximation with the well‐known interatomic potential, the Efimov states in molecular systems are calculated. A mechanism of appearance and dissappearance of the Efimov states in the helium trimer in the three‐body approximation is considered when the interatomic‐interaction force is varied. Geometrical structure of these unusual quantum states are presented.

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. V. Efimov, Nucl. Phys. A, 362, 45 (1981); 378, 581 (1982); Phys. Rev. C, 47, 1876 (1993); S. A. Vugalter and G. M. Zislin, Theor. Math. Phys., 7, 332 (1971); 32, 7 (1977); Dokl. AN USSR, 267, 784 (1982).

    Article  ADS  Google Scholar 

  2. L. D. Faddeev and S. P. Merkuriev, Quantum Scattering Theory for Several-Particle Systems, Kluwer Academic, London (1993).

    MATH  Google Scholar 

  3. D. V. Fedorov, A. S. Jensen, and K. Rusager, Phys. Rev. C, 50, 2372 (1994); Phys. Rev. Lett., 82, 2844 (1999).

    Article  ADS  Google Scholar 

  4. A. Cobis, D. V. Fedorov, and A. S. Jensen, Phys. Lett. B, 424, 1 (1998).

    Article  ADS  Google Scholar 

  5. J. Yuan and C. D. Lin, J. Phys. B, 31, L637 (1998).

    Article  ADS  MathSciNet  Google Scholar 

  6. T. Gonzalez-Lezana, J. Rubayo-Soneira, S. Miret-Aztes, et al., J. Chem. Phys., 110, 1648 (1999); Phys. Rev. Lett., 82, 1648 (1999).

    Article  Google Scholar 

  7. A. R. Janzen and R. A. Aziz, J. Chem. Phys., 103, 22, (1995).

    Article  Google Scholar 

  8. K. T. Tang, J. P. Toennies, and C. L. Yiu, Phys. Rev. Lett., 74, 1546 (1995).

    Article  ADS  Google Scholar 

  9. A. K. Motovilov, E. A. Kalganova, and S. A. Sofianos, J. Phys. B, 31, 1279 (1998); J. Chem. Phys., 275, 168 (1997); Phys. Rev. A, 56, R1686 (1997).

    Article  ADS  Google Scholar 

  10. V. Rudnev, and S. Yakovlev, Chem. Phys. Lett., 22, 97 (2000); Phys. Atom. Nucl., 63, 61, 77, 271, 278, 402, 409, 830 (2000).

    Article  Google Scholar 

  11. T. Frederico, Lauro Tomio, A. Delfino, et al., Phys. Rev. A, 60, R9 (1999).

    Article  ADS  Google Scholar 

  12. Y. Hahn, Phys. Rev. A, 60, 2139 (1999).

    Article  ADS  Google Scholar 

  13. E. Nielsen, D. V. Fedorov, and A. S. Jensen, Phys. Rev. Lett., 82, 2844 (1999).

    Article  ADS  Google Scholar 

  14. P. F. Bedaque, H. W. Hammer, U. van Kolek, Phys. Rev. Lett., 82, 463 (1999).

    Article  ADS  Google Scholar 

  15. R. A. Ionescu and C. Nategan, Europhys. Lett., 45, 269 (1999).

    Article  Google Scholar 

  16. S. P. Merkuriev and S. A. Pozdneev, Sov. J. Nucl. Phys., 29, 620 (1979).

    Google Scholar 

  17. S. A. Pozdneev, “Application of quantum theory of scattering to the calculation of various processes in atomic, molecular, and nuclear physics,” in: Dynamics of Elementary Atomic-Molecular Processes in Gas and Plasma, Proceedings of the P. N. Lebedev Physical Institute, Nova Science, New York (1996), Vol. 212, p. 99.

    Google Scholar 

  18. S. Pozdneev, Phys. Lett. B, 125, 355 (1983).

    ADS  Google Scholar 

  19. A. R. Janzen and R. A. Aziz, J. Chem. Phys., 79, 4330 (1979); 94, 8047 (1991); 103, 9626 (1995); Mol. Phys., 61, 1487 (1987); S. Pozdneev, “The method of determination of potential energy curves of diatomic molecules and their ions,” in: Laser Chemistry, Biophysics and Biomedicine, ICONO'95, Plenum Publishers, New York (1996), p. 92; Physics-Lebedev Institute Reports, Nos. 1-2, 61 (1997); H. Magenan and N. R. Kestner, Theory of Intermolecular Forces, Pergamon, New York (1971); W. J. Meath, D. J. Margoliash, B. L. Jhanwar, et al., Intermolecular Interactions: From Diatomics to Biopolymers, Wiley-Interscience Publishers, London (1978); J. N. Mirrell, S. Carter, S. C. Faran-199 Journal of Russian Laser Research Volume 22, Number 2, 2001 tos, et al., Molecular Potential Energy Functions, John Wiley & Sons, New York (1984); N. Sathyamurthy, Computer Phys. Rep., 3, 4 (1985).

    Google Scholar 

  20. K. P. Huber and G. Herzberg, Constants of Diatomic Molecules, Plenum Press, New York (1979).

    Google Scholar 

  21. L. V. Kantorovich and V. I. Krilov, Approximate Methods of Mathematical Analysis [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  22. F. Lon, C. F. Giese, and W.R. Gentry, J. Chem. Phys., 104, 1151 (1996); W. Schollkopf and J. P. Toennies, J. Chem. Phys., 104, 1155 (1996); M. V. Rama Krishna and K. V. Whaley, Phys. Rev. Lett., 64, 1126 (1990); G. C. Hegerfeldt and T. Kohler, Phys. Rev. A, 57, 2021 (1998); 61, 3606 (2000); Phys. Rev. Lett., 84, 3215 (2000).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Russian Academy of Sciences, P. N. Lebedev Physical Institute, Leninskii Pr. 53, Moscow, 117924, Russia

    S. A. Pozdneev

Authors
  1. S. A. Pozdneev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pozdneev, S.A. Three‐Body Approximation for the Investigation of Efimov States in Molecular Systems. J Russ Laser Res 22, 175–200 (2001). https://doi.org/10.1023/A:1011364106982

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1011364106982

Keywords

Search

Navigation