Meson-exchange πN Models in Three-Dimensional Bethe-Salpeter Formulation
Cheng-Tsung Hung, Shin Nan Yang, T. -S. H. Lee
Abstract
The pion-nucleon scattering is investigated by using several three-dimensional reduction schemes of the Bethe-Salpeter equation for a model Lagrangian involving π, N, Δ, ρ, and σ fields. It is found that all of the resulting meson-exchange models can give similar good descriptions of the πN scattering data up to 400 MeV. However they have significant differences in describing the πNN and πNΔ form factors and the πN 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.
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