Recent Developments in Hyperspherical Harmonic Method

  • M. Fabre de la Ripelle
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 1)


The infinite system of coupled differential equations of the hyperspherical harmonic expansion method is transformed in a single equivalent two variables integrodifferential equation. This equation is identical for 3 bosons in S state to the Faddeev equation written by Noyes for S state projected local potentials. The integrodifferential equation can be solved by an Adiabatic method. The Adiabatic eigenpotentials become asymptotically constant for large hyperradii. Each one is the total binding energy related to a definite asymptotic channel where clusters are at rest. Each eigenpotential is related to bound and/or scattering states. This method enables one to solve scattering.


Partial Wave Adiabatic Approximation Infinite System Integrodifferential Equation Faddeev Equation 
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  1. 1.
    Fabre de la Ripelle, M.: Phys. Letters 135B, 5 (1984).ADSGoogle Scholar
  2. 2.
    Fabre de la Ripelle, M.: Ann. Phys. (N.Y.) 147, 281 (1983).MathSciNetADSMATHCrossRefGoogle Scholar
  3. 3.
    Fabre de la Ripelle, M.: C.R. Acad. Sci. Paris 299 Serie II, 839 (1984).Google Scholar
  4. 4.
    Noyes, H.P.: Three-body problem in nuclear and particle physics. Eds: J.S.C. McKee and P.M. Rolph ( North-Holland, Amsterdam, 1970 ).Google Scholar
  5. 5.
    Fabre de la Ripelle, M.,Fiedeldey, H.: Phys. Letters 171B, 325 (1986).MathSciNetADSGoogle Scholar
  6. 6.
    Fabre de la Ripelle, M., Larsen, S.Y.: to be published.Google Scholar

Copyright information

© Springer-Verlag/Wien 1986

Authors and Affiliations

  • M. Fabre de la Ripelle
    • 1
  1. 1.Division de Physique ThéoriqueInstitut de Physique NucléaireOrsay CédexFrance

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