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Pion-nucleon interaction in a covariant hadron-exchange model

V. Pascalutsa·J. A. Tjon
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Abstract

We develop a relativistic covariant and unitary description of the pion-nucleon interaction in a hadron-exchange model. The model is based on the solution of a dimensionally reduced (quasipotential) Bethe-Salpeter equation for the partial-wave off-shell $πN$ scattering amplitudes with the potential consisting of the field-theoretical $s$- and $u$-channel nucleon, Roper, Delta, $D_{13}$, $S_{11}$ exchanges, and the $t$-channel $ρ$ and $σ$ meson exchanges. The contributions of the spin-3/2 Delta and $D_{13}$ resonances are treated within the Rarita-Schwinger formalism and different forms of the $πNΔ$ vertex are investigated. The free parameters of the model are fitted to the $πN$ phase-shift data of the KH80 and SM95 partial-wave analyses in the region up to 600 MeV pion kinetic energy. The resulting on-shell solution provides a good description of the $πN$ scattering lengths, as well as the energy behavior of the S, P, and D partial waves. The sensitivity of the phase shifts on various model-dependent effects is examined.

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V. Pascalutsa, J. A. Tjon. 2000-03-23. Pion-nucleon interaction in a covariant hadron-exchange model. https://doi.org/10.1103/physrevc.61.054003

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