Variational Principle for Three-Particle Scattering

Phys. Rev. D 1, 1674 – Published 15 March 1970
S. C. Pieper, L. Schlessinger, and Jon Wright


A variational principle is developed for three-body scattering which resembles in form a combination of the Kohn and Schwinger variational principles. Its principal advantage over previous formulations is that for energies above the three-body breakup threshold, it is not necessary to know the complicated correlation terms in the asymptotic part of the wave function. Application of the principle to both separable and local potentials is discussed. In this paper we present results of calculations with separable potentials for elastic and rearrangement processes beneath the breakup threshold.


  • Received 14 November 1969
  • Published in the issue dated 15 March 1970

© 1970 The American Physical Society

Authors & Affiliations

S. C. Pieper*, L. Schlessinger, and Jon Wright

  • Department of Physics, University of Illinois, Urbana, Illinois 61801

  • *Work partially done on a NASA Fellowship.
  • Present address: University of Iowa, Iowa City, Iowa 52240.

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