Abstract
In this work we show an application of the N/D method to πK \(I = 1{\text{/}}2\) s-wave coupled channel scattering. Free parameters are constrained via matching to chiral perturbation theory. While we were able to find parameters that provide an excellent description of the scattering data, the corresponding amplitudes showed some unphysical properties like poles on the first sheet. By this we were guided to propose an alternative method to parametrise πK scattering amplitudes and form factors.
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ACKNOWLEDGMENTS
We want to thank the Moscow International School of Physics 2020 for a rewarding experience and inviting us. Furthermore we thank J.A. Oller for helpful discussions. We moreover acknowledge support by the National Natural Science Foundation of China (NSFC) and Deutsche Forschungsgemeinschaft through funds provided to the Sino-German Collaborative Research Center “Symmetries and the Emergence of Structure in QCD” (NSFC grant no. 11621131001, DFG grant no. TR110).
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Noël, F., von Detten, L. & Hanhart, C. N/D Method for πK Scattering as Part of MISP 2020 Proceeding. Bull. Lebedev Phys. Inst. 47, 330–333 (2020). https://doi.org/10.3103/S106833562011007X
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DOI: https://doi.org/10.3103/S106833562011007X