Determination of the lightest strange resonance $K_0^{\ast }(700)$ or $\kappa$, from a dispersive data analysis

Abstract

In this work we present a precise and model-independent dispersive determination from data of the existence and parameters of the lightest strange resonance $\kappa /K_0^{\ast }(700)$. We use both subtracted and unsubtracted partial-wave hyperbolic and fixed-$t$ dispersion relations as constraints on combined fits to $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ data. We then use the hyperbolic equations for the analytic continuation of the isospin $I=1/2$ scalar partial wave to the complex plane, in order to determine the $\kappa /K_0^{\ast }(700)$ and $K^{\ast }(892)$ associated pole parameters and residues.

6 pages, 3 figures, 2 tables. References, comments, clarifications and 1 table added. Minor typos corrected. Version to appear on Phys.Rev.Lett

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• Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances $\sigma /f_0(500)$ and $\kappa /K_0^{\ast }(700)$