The pion-kaon scattering amplitude constrained with forward dispersion relations up to 1.6 GeV

TL;DR

This paper offers precise parameterizations of pion-kaon scattering data up to 1.6 GeV, constrained by forward dispersion relations and sum rules, and provides phenomenological resonance and threshold parameters.

Contribution

It introduces new parameterizations of $mbda K$ scattering data that satisfy dispersion relations and sum rules, improving the accuracy of scattering analysis.

Findings

Parameterizations fit data up to 1.6 GeV

Resonance pole parameters are extracted

Threshold parameters are phenomenologically determined

Abstract

In this work we provide simple and precise parameterizations of the existing $\pi K$ scattering data from threshold up to 1.6 GeV, which are constrained to satisfy forward dispersion relations as well as three additional threshold sum rules. We also provide phenomenological values of the threshold parameters and of the resonance poles that appear in elastic scattering.