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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)

Abstract

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.

Keywords

Partial Wave Collocation Method Tensor Structure Usual Approach Conclusion Table 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    V.V. Kostrykin, A.A. Kvitsinsky, S.P. Merkuriev: Few-Body Syst. 6, 97 (1989)MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    N.W. Schellingerhout: Factorizability in the Numerical Few-Body Problem, PhD thesis, University of Gröningen, (1995) [and references therein]Google Scholar
  3. 3.
    G.L. Payne: Lecture Notes in Physics 273, 64 (1987)ADSCrossRefGoogle Scholar

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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