Abstract

We briefly review our recent works where we use dispersion relations to constrain fits to data on πK → πK and $ \pi \pi \to K\bar K $ providing a simple but consistent description of these processes. Then, simple analytic methods allow to extract parameters of poles associated to light strange resonances without assuming a particular model. We also present preliminary results on a model-independent determination of the controversial κ or $ K_0^*\left( {700} \right) $ resonance parameters, by using those constrained parameterizations as input for partial-wave hyperbolic dispersion relations that allow to perform a rigorous analytic continuation to determine its associated pole.

Highlights

  • ΠK → πK scattering provides most of the information on strange resonances below 2 GeV

  • We briefly review our recent works where we use dispersion relations to constrain fits to data on πK → πK and ππ → KKproviding a simple but consistent description of these processes

  • We present preliminary results on a model-independent determination of the controversial κ or K0∗(700) resonance parameters, by using those constrained parameterizations as input for partialwave hyperbolic dispersion relations that allow to perform a rigorous analytic continuation to determine its associated pole

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Summary

Introduction

ΠK → πK scattering provides most of the information on strange resonances below 2 GeV. Simple analytic methods allow to extract parameters of poles associated to light strange resonances without assuming a particular model.

Results
Conclusion
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