Dispersive determination of low energy $\pi K$ interactions

TL;DR

This paper employs dispersion relations to analyze low-energy πK interactions, providing a comprehensive study of scattering channels and extracting key low-energy parameters using a dispersive formalism.

Contribution

It introduces a novel dispersive analysis approach for πK interactions, covering both scattering channels and threshold region parameters.

Findings

Determined low-energy scattering parameters for πK interactions.

Analyzed πK→πK and ππ→KK̄ channels using dispersion relations.

Extracted partial waves and threshold parameters.

Abstract

We summarize the application of dispersion relations for the determination of low energy $\pi K$ interactions. In particular, we present our recent dispersive analyses for the complete study of both $\pi K\to \pi K$ and $\pi \pi \rightarrow K \bar K$ channels. First, we summarize our approach, we study both channels by using several families of dispersion relations and present the most relevant partial waves. Then we apply the dispersive formalism to the threshold region, where we extract many different low-energy parameters.