The $κ$ resonance in s wave $πK$ scatterings

Abstract

A new unitarization approach incorporated with chiral symmetry is established and applied to study the $πK$ elastic scatterings. We demonstrate that the $κ$ resonance exists, if the scattering length parameter in the I=1/2, J=0 channel does not deviate much from its value predicted by chiral perturbation theory. The mass and width of the $κ$ resonance is found to be $M_κ=594\pm 79MeV$, $Γ_κ=724\pm 332MeV$, obtained by fitting the LASS data up to 1430MeV. Better determination to the pole parameters is possible if the chiral predictions on scattering lengths are taken into account.

Minor corrections made on discussions and typos. 1 ref. added version to appear in Nuclear Physics A