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

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

2003-10-26

arxiv.org/abs/hep-ph/0310293v3

Nucl.Phys.A733:235-261,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/j.nuclphysa.2003.12.021

A new unitarization approach incorporated with chiral symmetry is established and applied to study the $\pi K$ elastic scatterings. We demonstrate that the $\kappa$ 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 $\kappa$ resonance is found to be $M_\kappa=594\pm 79MeV$, $\Gamma_\kappa=724\pm 332MeV$, 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.

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