An improved study of the kappa resonance and the non-exotic s wave πK scatterings up to of LASS data

We point out that the dispersion relation for the left-hand cut integral presented in one of our previous paper [H.Q. Zheng, et al., Nucl. Phys. A 733 (2004) 235] is actually free of subtraction constant, even for unequal mass elastic scatterings. A new fit to the LASS data [D. Aston, et al., LASS Collaboration, Nucl. Phys. B 296 (1988) 493] is performed and firm evidence for the existence of κ pole is found. The correct use of analyticity also put strong constraints on threshold parameters—which are found to be in good agreement with those obtained from chiral theories. We also determined the pole parameters of on the second sheet, and reconfirm the existence of on the third sheet. We stress that the LASS data do not require them to have the twin pole structure of a typical Breit–Wigner resonance.