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Few-Body Systems

, 60:32 | Cite as

Weakly Bound LiHe\(_2\) Molecules in the Framework of Three-Dimensional Faddeev Equations

  • E. A. KolganovaEmail author
  • V. Roudnev
Article
  • 38 Downloads
Part of the following topical collections:
  1. Ludwig Faddeev Memorial Issue

Abstract

A method of direct solution of the Faddeev equations for the bound-state problem with zero total angular momentum is used to calculate the binding energies. The results for binding energies of He\(_2{}^6\)Li and He\(_2{}^7\)Li systems and helium atom–HeLi dimer scattering length are presented. The results show that modern potential models support two bound states in both trimers. In both cases the energy of the excited state is very close to the energy of the lowest two-body threshold.

Notes

Acknowledgements

One of the author (EAK) would like to thank T. Frederico, A. Kievsky and P. Stipanović for stimulating discussions and also W. Sandhas and A.K. Motovilov for their constant interest to this work. The work of VR has been partially supported by RFBI grant 18-02-00492, the calculations have been performed in Resource Center “Computer Center of SPbU”.

References

  1. 1.
    V. Efimov, Phys. Lett. B 33, 563 (1970)ADSCrossRefGoogle Scholar
  2. 2.
    V. Efimov, Yad. Phys. 12, 1080 (1970) [Sov. J. Nucl. Phys. 12, 589 (1970)]Google Scholar
  3. 3.
    H. Bethe, R. Peierls, Proc. R. Soc. Lond. 148, 146 (1935)ADSCrossRefGoogle Scholar
  4. 4.
    L. Delves, Nucl. Phys. 9, 391 (1958)CrossRefGoogle Scholar
  5. 5.
    G.S. Danilov, JETP 40, 498 (1961) [Sov. Phys. JETP 41, 1850 (1961)]Google Scholar
  6. 6.
    L.H. Thomas, Phys. Rev. 47, 903 (1935)ADSCrossRefGoogle Scholar
  7. 7.
    E.A. Kolganova, A.K. Motovilov, W. Sandhas, Few-Body Syst. 51, 249 (2011)ADSCrossRefGoogle Scholar
  8. 8.
    E.A. Kolganova, A.K. Motovilov, W. Sandhas, Few-Body Syst. 58, 35 (2017)ADSCrossRefGoogle Scholar
  9. 9.
    M. Kunitski, S. Zeller, J. Voigtsberger, A. Kalinin, LPhH Schmidt, M. Schöffer, A. Czasch, W. Schöllkopf, R.E. Grisenti, C. Janke, D. Blume, R. Dörner, Science 348, 551 (2015)ADSCrossRefGoogle Scholar
  10. 10.
    T. Kraemer, M. Mark, P. Waldburger, J.G. Danzl, C. Chin, B. Engeser, A.D. Lange, K. Pilch, A. Jaakkola, H.-C. Nagerl, R. Grimm, Nature 440, 315 (2006)ADSCrossRefGoogle Scholar
  11. 11.
    B. Huang, L.A. Sidorenkov, R. Grimm, J.M. Hutson, Phys. Rev. Lett. 112, 190401 (2014)ADSCrossRefGoogle Scholar
  12. 12.
    B. Huang, L.A. Sidorenkov, R. Grimm, Phys. Rev. A 91, 063622 (2015)ADSCrossRefGoogle Scholar
  13. 13.
    V. Efimov, Nucl. Phys. A 210, 157 (1973)ADSCrossRefGoogle Scholar
  14. 14.
    J.P. D’Incao, B.D. Esry, Phys. Rev. A 73, 030703(R) (2006)ADSCrossRefGoogle Scholar
  15. 15.
    Y. Wang, J. Wang, J. P. D’Incao, and Ch. H. Greene, Phys. Rev. Lett. 109, 243201 (2012); Erratum, Phys. Rev. Lett. 115, 069901 (2015)Google Scholar
  16. 16.
    G. Barontini, C. Weber, F. Rabatti, J. Catani, G. Thalhammer, M. Inguscio, F. Minardi, Phys. Rev. Lett. 103, 043201 (2009)ADSCrossRefGoogle Scholar
  17. 17.
    R.S. Bloom, M.G. Hu, T.D. Cumby, D.S. Jin, Phys. Rev. Lett. 111, 105301 (2013)ADSCrossRefGoogle Scholar
  18. 18.
    L.J. Wacker, N.B. Jorgensen, D. Birkmose, N. Winter, M. Mikkelsen, J. Sherson, N. Zinner, J.J. Arlt, Phys. Rev. Lett. 117, 163201 (2016)ADSCrossRefGoogle Scholar
  19. 19.
    R.A.W. Maier, M. Eisele, E. Tiemann, C. Zimmermann, Phys. Rev. Lett. 115, 043201 (2015)ADSCrossRefGoogle Scholar
  20. 20.
    S.K. Tung, K. Jimenez-Garcia, J. Johansen, C.V. Parker, C. Chin, Phys. Rev. Lett. 113, 240402 (2014)ADSCrossRefGoogle Scholar
  21. 21.
    J. Ulmanis, S. Hä fner, R. Pires, F. Werner, D.S. Petrov, M. Weidemüller, E.D. Kuhnle, Phys. Rev. A 93, 022707 (2016)ADSCrossRefGoogle Scholar
  22. 22.
    P. Naidon, Sh Endo, Rep. Prog. Phys. 80, 056001 (2017)ADSCrossRefGoogle Scholar
  23. 23.
    ChH Greene, P. Giannakeas, J. Prez-Ros Rev. Mod. Phys. 89, 035006 (2017)ADSCrossRefGoogle Scholar
  24. 24.
    H. Suno, B.D. Esry, Phys. Rev. A 80, 062702 (2009)ADSCrossRefGoogle Scholar
  25. 25.
    H. Suno, Phys. Rev. A 96, 012508 (2017)ADSCrossRefGoogle Scholar
  26. 26.
    M.-S. Wu, H.-L. Han, Ch-B Li, T.-Y. Shi, Phys. Rev. A 90, 062506 (2014)ADSCrossRefGoogle Scholar
  27. 27.
    L.D. Faddeev, S.P. Merkuriev, Quantum Scattering Theory for Several Particle Systems (Kluwer Academic Publishers, Doderecht, 1993)CrossRefGoogle Scholar
  28. 28.
    V.V. Kostrykin, A.A. Kvitsinsky, S.P. Merkuriev, Few-Body Syst. 6, 97–113 (1989)ADSCrossRefGoogle Scholar
  29. 29.
    E.A. Kolganova, Few-Body Syst. 58, 27 (2017)ADSCrossRefGoogle Scholar
  30. 30.
    U. Kleinekathöfer, K.T. Tang, J.P. Toennies, C.I. Yiu, Chem. Phys. Lett. 249, 257 (1996)ADSCrossRefGoogle Scholar
  31. 31.
    Z.C. Yan, J.F. Babb, A. Dalgarno, G.W.F. Drake, Phys. Rev. A 54, 2824 (1996)ADSCrossRefGoogle Scholar
  32. 32.
    U. Kleinekathöfer, M. Lewerenz, M. Mladenoc, Phys. Rev. Lett. 83, 4717 (1999)ADSCrossRefGoogle Scholar
  33. 33.
    K.T. Tang, J.P. Toennies, C.L. Yiu, Phys. Rev. Lett. 74, 1546 (1995)ADSCrossRefGoogle Scholar
  34. 34.
    M. Przybytek, W. Cencek, J. Komasa, G. Lach, B. Jeziorski, and K. Szalewicz, Phys. Rev. Lett. 104, 183003 (2010); Erratum, Phys. Rev. Lett. 108, 129902 (2012)Google Scholar
  35. 35.
    I. Mills, T. Cvitaŝ, K. Homann, N. Kallay, K. Kuchitsu, Quantities, Units and Symbols in Physical Chemistry, 2nd edn. (Blackwell Science, Oxford, 1993)Google Scholar
  36. 36.
    S. Zeller, M. Kunitski, J. Voigtsberger et al., PNAS 113, 14651 (2000); [arXiv:1601.03247]
  37. 37.
    R. Grisenti, W. Schöllkopf, J.P. Toennies, G.C. Hegerfeld, T. Köhler, M. Stoll, Phys. Rev. Lett. 85, 2284 (2000)ADSCrossRefGoogle Scholar
  38. 38.
    V.A. Roudnev, S.L. Yakovlev, S.A. Sofianos, Few-Body Syst. 37, 179 (2005)ADSCrossRefGoogle Scholar
  39. 39.
    V.A. Roudnev, M. Cavagnero, J. Phys. B 45, 025101 (2012)ADSCrossRefGoogle Scholar
  40. 40.
    E.A. Kolganova, V.A. Roudnev, M. Cavagnero, Phys. Atom. Nucl. 75, 1240 (2012)ADSCrossRefGoogle Scholar
  41. 41.
    W. Cencek, M. Jeziorska, O. Akin-Ojo, K. Szalewicz, J. Phys. Chem. A 111, 11311 (2007)CrossRefGoogle Scholar
  42. 42.
    V. Kokoouline, F. Masnou-Seeuws, Phys. Rev. A 73, 012702 (2006)ADSCrossRefGoogle Scholar
  43. 43.
    H. Suno, E. Hiyama, M. Kamimura, Few-Body Syst. 54, 1557 (2013)ADSCrossRefGoogle Scholar
  44. 44.
    H. Suno, B.D. Esry, Phys. Rev. A 82, 062521 (2010)ADSCrossRefGoogle Scholar
  45. 45.
    I. Baccarelli, G. Delgado-Barrio, F.A. Gianturco, T. Conzalez-Lezana, S. Miret-Artes, P. Villarreal, Europhys. Lett. 50, 567 (2000)ADSCrossRefGoogle Scholar
  46. 46.
    C. Di Paola, F.A. Gianturco, F. Paesani, G. Delgado-Barrio, S. Miret-Artés, P. Villarreal, I. Baccarelli, T. González-Lezana, J. Phys. B 35, 2643 (2002)ADSCrossRefGoogle Scholar
  47. 47.
    P. Stipanović, L. Vranješ Markić, D. Zarić, J. Boronat, J. Chem. Phys. 146, 014305 (2017)ADSCrossRefGoogle Scholar
  48. 48.
    R.A. Aziz, M.J. Slaman, J. Chem. Phys. 94, 8047 (1991)ADSCrossRefGoogle Scholar
  49. 49.
    M. Jeziorska, W. Cencek, K. Patkowski, B. Jeziorski, K. Szalewicz, J. Chem. Phys. 127, 124303 (2007)ADSCrossRefGoogle Scholar
  50. 50.
    D. Cvetko, A. Lansi, A. Morgante, F. Tommasini, P. Cortana, M.G. Dondi, J. Chem. Phys. 100, 2052 (1994)ADSCrossRefGoogle Scholar
  51. 51.
    R.A. Aziz, F.R.W. McCourt, C.C.K. Wong, Mol. Phys. 61, 1487 (1987)ADSCrossRefGoogle Scholar
  52. 52.
    J.M. Yuan, C.D. Lin, J. Phys. B 31, L637 (1998)ADSCrossRefGoogle Scholar
  53. 53.
    A. Delfino, T. Frederico, L. Tomio, J. Chem. Phys. 113, 7874 (2000)ADSCrossRefGoogle Scholar
  54. 54.
    E.A. Kolganova, A.K. Motovilov, W. Sandhas, Phys. Part. Nucl. 40, 206 (2009)CrossRefGoogle Scholar
  55. 55.
    H. Suno, B.D. Esry, Phys. Rev. A 89, 052701 (2014)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear Research and Dubna State UniversityDubnaRussia
  2. 2.Department of Computational PhysicsSt. Petersburg State UniversitySt. PetersburgRussia

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