Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
arXiv:nucl-th/9505043 · doi:10.1016/0375-9474(95)00362-5
Abstract
We examine the meson-baryon interaction in the strangeness S=-1 sector using an effective chiral Lagrangian. Potentials are derived from this Lagrangian and used in a coupled-channel calculation of the low energy observables. The potentials are constructed such that in the Born approximation the s-wave scattering amplitude is the same as that given by the effective chiral Lagrangian, up to order $q^2$. Comparison is made with the available low energy hadronic data of the coupled $K^-p, ΣÏ, ÎÏ$ system, which includes the $Î(1405)$ resonance, $K^-p$ elastic and inelastic scattering, and the threshold branching ratios of the $K^-p$ decay. Good fits to the experimental data and estimates of previously unknown Lagrangian parameters are obtained.
20 pages, 10 postscript figures, uses revtex, e-mail addresses: Norbert.Kaiser@physik.tu-muenchen.de, Peter.Siegel@physik.tu-muenchen.de, Wolfram.Weise@physik.tu-muenchen.de