Nonperturbative three-dimensional formalism for the study of the nucleon-nucleon interaction

Phys. Rev. C 12, 1381 – Published 1 November 1975
Abraham Klein and Tsung-Shung H. Lee


As an alternative to the dispersion theoretic approach to the two-nucleon interaction, we outline an improved version of an older method which derives both an interaction and the wave equation of which it is a part on an equal footing. This is done by reducing the Bethe-Salpeter equation to an equal time equation. The main improvement is that the interaction is given in nonperturbative form rather than as a sum of Feynman diagrams. As an illustration of the formalism, we test the validity of a simple version of the isobar model for the nucleon-nucleon problem and find it quantitatively inadequate. We discuss parenthetically how the existence of classes of reduction schemes is reflected as an ambiguity in the definition of the interaction.

NUCLEAR REACTIONS Theory of nucleon-nucleon interaction. Non-perturbative field theoretical method.


  • Received 22 May 1975
  • Published in the issue dated November 1975

© 1975 The American Physical Society

Authors & Affiliations

Abraham Klein

  • Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19174

Tsung-Shung H. Lee

  • Bartol Research Foundation of the Franklin Institute, Swarthmore, Pennsylvania 19081

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