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arXiv · hep-ph/0310293

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

H. Q. Zheng·Z. Y. Zhou·G. Y. Qin·Z. G. Xiao·J. J. Wang·N. Wu
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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.

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H. Q. Zheng, Z. Y. Zhou, G. Y. Qin, Z. G. Xiao, J. J. Wang, N. Wu. 2003-12-21. The $κ$ resonance in s wave $πK$ scatterings. https://doi.org/10.1016/j.nuclphysa.2003.12.021

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