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An improved study of the kappa resonance and the non-exotic $s$ wave $πK$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data

Z. Y. Zhou·H. Q. Zheng
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Abstract

We point out that the dispersion relation for the left hand cut integral presented in one of our previous paper (Nucl. Phys. {\bf A}733(2004)235) is actually free of subtraction constant, even for unequal mass elastic scatterings. A new fit to the LASS data~\cite{Aston} 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 $K_0^*(1430)$ on the second sheet, and reconfirm the existence of $K_0^*(1950)$ 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.

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Z. Y. Zhou, H. Q. Zheng. 2006-06-20. An improved study of the kappa resonance and the non-exotic $s$ wave $πK$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data. https://doi.org/10.1016/j.nuclphysa.2006.06.170

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