Meson-exchange $\pi N$ Models in Three-Dimensional Bethe-Salpeter Formulation

Abstract

The pion-nucleon scattering is investigated by using several three-dimensional reduction schemes of the Bethe-Salpeter equation for a model Lagrangian involving $\pi$, $N$, $\Delta$, $\rho$, and $\sigma$ fields. It is found that all of the resulting meson-exchange models can give similar good descriptions of the $\pi N$ scattering data up to 400 MeV. However they have significant differences in describing the $\pi NN$ and $\pi N\Delta$ form factors and the $\pi N$ off-shell t-matrix elements. We point out that these differences can be best distinguished by investigating the near threshold pion production from nucleon-nucleon collisions and pion photoproduction on the nucleon. The consequences of using these models to investigate various pion-nucleus reactions are also discussed.

29 pages, 3 Tables, 7 figures, Latex, changed the unit of figures 4,5,6 and 7

References in corpus (2)

• Pion-nucleon interaction in a covariant hadron-exchange model
• Field transformations and simple models illustrating the impossibility of measuring off-shell effects

Cited by in corpus (29)

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