Dispersive analysis of the Primakoff reaction $\gamma K \to K \pi$

TL;DR

This paper develops a dispersion-theoretical framework for analyzing the $\gamma K o K \pi$ reaction amplitudes, incorporating modern phase shift data and phenomenological inputs to enable precise future studies of kaon Primakoff processes.

Contribution

It introduces a model-independent dispersive approach to analyze kaon photoproduction reactions, linking low-energy theorems and resonance couplings with modern phase shift data.

Findings

Provides a comprehensive dispersion representation for all charge channels.

Fixes crossed-channel singularities using phenomenological input.

Establishes a framework for high-precision kaon Primakoff data analysis.

Abstract

We provide a dispersion-theoretical representation of the reaction amplitudes $\gamma K\to K \pi$ in all charge channels, based on modern pion-kaon $P$-wave phase shift input. Crossed-channel singularities are fixed from phenomenology as far as possible. We demonstrate how the subtraction constants can be matched to a low-energy theorem and radiative couplings of the $K^*(892)$ resonances, thereby providing a model-independent framework for future analyses of high-precision kaon Primakoff data.