The properties of the $\sigma$ and $\kappa$ resonances in a new unitarization approach

Abstract

A new unitarization approach is discussed and applied to study the elastic $\pi K$ scattering process. The existence of the light $\kappa$ resonance is firmly established if the scattering length in the I=1/2 channel does not deviate too much from its value obtained from chiral perturbation theory, and a precise determination to the mass and width of the $\kappa$ resonance requires a precise determination of the scattering length parameter.

5 pages, 4 figures. Talk given by Zheng at Tenth International Conference on Hadron Spectroscopy, Aschaffenburg, Germany 2003