Variational Calculation of Three-Body Breakup Amplitudes

Phys. Rev. D 2, 1561 – Published 15 October 1970
S. C. Pieper, Jon Wright, and Leonard Schlessinger


A previously reported variational principle is used to compute three-body elastic and breakup scattering amplitudes for positive total energies. The calculation converges quite rapidly and requires very little computer time. The forms of the variational principle suitable for systems where some of the particles are identical bosons are also derived. The examples presented are for Yamaguchi potentials and do not represent any physical system; they were chosen to have large breakup cross sections. The results are presented as Dalitz plots and other graphs which exhibit some interesting features.


  • Received 27 April 1970
  • Published in the issue dated 15 October 1970

© 1970 The American Physical Society

Authors & Affiliations

S. C. Pieper* and Jon Wright

  • Department of Physics, University of Illinois, Urbana, Illinois 61081

Leonard Schlessinger

  • Department of Physics and Astronomy, University of Iowa, Iowa City, Iowa 52240

  • *Present address: Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106.

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