A relativistic meson-exchange model of pion-nucleon scattering
- 1 September 1994
- journal article
- Published by IOP Publishing in Journal of Physics G: Nuclear and Particle Physics
- Vol. 20 (9), 1531-1536
- https://doi.org/10.1088/0954-3899/20/9/021
Abstract
Pion-nucleon scattering is investigated using the Kadyshevsky three-dimensional reduction of the Bethe-Salpeter equation. The resulting potential includes the direct and crossed N, Delta terms, and the t-channel sigma and rho -exchange terms. The nucleon pole condition is imposed to define the renormalization of the nucleon mass and the pi NN coupling constant. A mixture of the scalar and vector sigma pi pi couplings is introduced to simulate the effect of the broad width of the s-wave correlated two-pion exchange mechanism. Good descriptions of the pi N phase shifts up to 400 MeV have been obtained in all S- and P-waves. The off-shell behaviours for our model differ significantly from those obtained using different reduction schemes.Keywords
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