Abstract

Motivated by the ${1/N}_{c}$ expansion, we study a simple model in which the $\ensuremath{\pi}K$ scattering amplitude is the sum of a current-algebra contact term and resonance pole exchanges. This phenomenological model is crossing symmetric and, when a putative light strange scalar meson \ensuremath{\kappa} is included, satisfies the unitarity bounds to well above 1 GeV. The model also features chiral dynamics, vector meson dominance and appropriate interference between the established ${K}_{0}^{*}(1430)$ resonance and its predicted background. We briefly discuss the physical significance of the results and directions for further work.

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