An Algebraic Approach to Multichannel Scattering by Negative-Energy Weinberg States

  • G. Cattapan
  • G. Pisent
  • L. Canton
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 1)


The single and multichannel scattering problem for elastic and inelastic collisions between two composite particles is solved by resorting to basis sets of negative-energy Sturmian functions referring to auxiliary potentials which allow an easy solution of the Sturmian eigenvalue equation. By means of these functions the original coupling potentials are approximated with finite-rank interactions. The coupled-channel equations can be then reduced to sets of algebraic linear equations which can be solved by standard matrix-inversion techniques. For illustrative purposes, our formalism is applied to the elastic neutron-alpha scattering. The results of these preliminary calculations are encouraging and show a fast convergence of the method in the whole energy region we have considered (0÷20 MeV).


Composite Particle Scattering Problem Radial Wave Function Couple Integral Equation Scatter Wave Function 
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Copyright information

© Springer-Verlag/Wien 1986

Authors and Affiliations

  • G. Cattapan
    • 1
  • G. Pisent
    • 1
  • L. Canton
    • 1
  1. 1.Dipartimento di Fisica dell’UniversitàIstituto Nazionale di Fisica Nucleare, Sezione di PadovaPadovaItaly

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