Three-Body Bound State Calculations Without Explicit Partial Wave Decomposition

  • M. L. Lekala
  • M. Braun
  • S. A. Sofianos
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 14)


The problem of calculating three-body bound state properties has been tackled by several authors for a considerable time. In the usual approach the partial wave decomposition of the solution is sought, resulting in the reduction of the Faddeev equations to a set of two-dimensional coupled equations, which are easily amenable to numerical solution. This approach yields results which are in good agreement with experiment if only a few partial waves are necessary to describe the system, as for example in nuclear systems. However, for weakly bound systems interacting via a force having a very strong repulsive core it would be necessary to include lots of partial waves resulting in an intractable numerical problem.


Partial Wave Collocation Method Tensor Structure Usual Approach Conclusion Table 
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Copyright information

© Springer-Verlag/Wien 2003

Authors and Affiliations

  • M. L. Lekala
    • 1
  • M. Braun
    • 1
  • S. A. Sofianos
    • 1
  1. 1.Department of PhysicsUniversity of South AfricaPretoriaSouth Africa

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