Pion-Nucleon Scattering at Low Energies

Details Pion-Nucleon Scattering at Low Energies Pion-Nucleon Scattering at Low Energies

1996-09-24

arxiv.org/abs/hep-ph/9609459v2

Phys.Rev.C56:3363-3368,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, RevTex, Two tables and two figures, Minor changes, To appear in PRC

Scientific paper

10.1103/PhysRevC.56.3363

We study pion-nucleon scattering at tree level with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars using a K-matrix unitarization procedure. Evaluating the scattering amplitude to order $Q^2$, where $Q$ is a generic small momentum scale, we obtain a good fit to the experimental phase shifts for pion center-of-mass kinetic energies up to $50 $MeV. The fit can be extended to 150 MeV when we include the order-$Q^3$ contributions. Our results are independent of the off-shell $\Delta$ parameter.

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