Systematic Approximations for the Single-Channel Scattering Amplitude

Phys. Rev. 133, B1516 – Published 23 March 1964
F. Coester


The scattering amplitude for two-particle single-channel scattering may be computed by inverting a Hilbert-space operator 1-K, where K is compleely continuous and depends on the real energy as a parameter. This inversion can always be accomplished by obtaining a finite number of eigenvalues and eigen-functions of K together with a modified Born expansion which is guaranteed to converge. Another method consists in the inversion of a finite matrix, the elements of which are computed by a convergent perturbation series.


  • Received 4 November 1963
  • Published in the issue dated March 1964

© 1964 The American Physical Society

Authors & Affiliations

F. Coester

  • Argonne National Laboratory, Argonne, Illinois

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