Scattering length for Lennard-Jones potentials

Regular Article

Abstract

We present an exact procedure that allows one to calculate the scattering length for any potential expressed as an algebraic sum of inverse powers of the inter-atomic distance. We apply it to (12, s) Lennard-Jones potentials, with different values of s. The procedure is suitable for a very precise determination of the intensities of the potential corresponding to zeros or poles of the scattering length.

Keywords

Atomic and Molecular Collisions 

References

  1. 1.
    A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001)ADSCrossRefGoogle Scholar
  2. 2.
    G.F. Gribakin, V.V. Flambaum, Phys. Rev. A 48, 546 (1993)ADSCrossRefGoogle Scholar
  3. 3.
    R. Szmytkowski, J. Phys. A 28, 7333 (1995)MathSciNetADSCrossRefMATHGoogle Scholar
  4. 4.
    B. Gao, Eur. Phys. J. D 31, 283 (2004)ADSCrossRefGoogle Scholar
  5. 5.
    R.M. Kalas, D. Blume, Phys. Rev. A 77, 032703 (2008)ADSCrossRefGoogle Scholar
  6. 6.
    J. Pade, Eur. Phys. J. D 44, 345 (2007)ADSCrossRefGoogle Scholar
  7. 7.
    J. Pade, Eur. Phys. J. D 53, 41 (2009)MathSciNetADSCrossRefGoogle Scholar
  8. 8.
    Z. Idziaszek, T. Calarco, P. Zoller, Phys. Rev. A 76, 033409 (2007)ADSCrossRefGoogle Scholar
  9. 9.
    H.B.G. Casimir, D. Polder, Phys. Rev. 73, 360 (1948)ADSCrossRefMATHGoogle Scholar
  10. 10.
    F.J. Gómez, J. Sesma, J. Phys. A 38, 3193 (2005)MathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    F.J. Gómez, J. Sesma, J. Comput. Appl. Math. 207, 291 (2007)MathSciNetADSCrossRefMATHGoogle Scholar
  12. 12.
    G.H. Hardy, Divergent Series (Clarendon Press, Oxford, 1949)Google Scholar
  13. 13.
    H. Ouerdane, M.J. Jamieson, D. Vrinceanu, M.J. Cavagnero, J. Phys. B At. Mol. Opt. Phys. 36, 4055 (2003)ADSCrossRefGoogle Scholar
  14. 14.
    F. Calogero, Variable Phase Method Approach to Potential Scattering (Academic Press, New York, 1967)Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Departamento de Física TeóricaUniversidad de ZaragozaZaragozaSpain

Personalised recommendations