Abstract
A model for low-energy meson-baryon interaction in the strange sector is presented. The interaction is described in terms of separable potentials with multiple partial waves considered. A general solution of the Lippmann-Schwinger equation for the scattering of spin-0 and spin-1/2 particles is derived. Next, the general framework is applied to the $\overline{K}N$ sector in a simple model with only the $S$ and $P$ waves taken into account. The separable potential is designed to match the chiral perturbation theory at the lowest nontrivial order. It is shown that although a simple model with three free parameters works well for the $S$ wave, it fails to reproduce the $P$-wave features of kaon-nucleon physics. Most importantly, the $P$-wave interaction is too weak to express a resonant behavior that could be identified as $\ensuremath{\Sigma}(1385)$ resonance.
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