Abstract
We give a review of recent progress on the application of the relativistic chiral SU(3) Lagrangian to meson–baryon scattering. It is shown that a combined chiral and 1/Nc expansion of the Bethe–Salpeter interaction kernel leads to a good description of the kaon–nucleon, antikaon–nucleon and pion–nucleon scattering data typically up to laboratory momenta of p lab ≃500 MeV. We solve the covariant coupled channel Bethe–Salpeter equation with the interaction kernel truncated to chiral order Q3 where we include only those terms which are leading in the large Nc limit of QCD.
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Lutz, M.F.M., Kolomeitsev, E.E. Covariant Meson–Baryon Scattering with Chiral and Large Nc Constraints. Foundations of Physics 31, 1671–1702 (2001). https://doi.org/10.1023/A:1012655116247
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DOI: https://doi.org/10.1023/A:1012655116247