Evidence for a scalar kappa(900) resonance in pi-K scattering

Abstract

Motivated by the $1/N_c$ expansion, we study a simple model in which the 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, 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 scalar K*(1430) resonance and its predicted background. We briefly discuss the physical significance of the results and directions for further work.

28 pages, 17 figures

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• A low-lying scalar meson nonet in a unitarized meson model
• Analysis of Kπ-scattering phase shift and existence of κ(900)-particle
• K-matrix analysis of the K-pi S-wave in the mass region 900-2100 Mev and nonet classification of scalar qqbar-states
• Dynamical generation of the gauged SU(2) linear sigma model
• QCD Sum-Rule Consistency of Lowest-Lying Quark Scalar Resonances

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