Extended formalism for the study of final-state interaction in $\gamma p\,\rightarrow\,K^{+}\pi\,\Sigma$ photoproduction

TL;DR

This paper extends the theoretical framework for analyzing the final-state interactions in the gamma-proton to K-plus-pi-Sigma photoproduction process, incorporating strangeness S=-1 meson-baryon p-wave interactions with J=3/2, and evaluates the role of the Sigma*(1385) resonance.

Contribution

It introduces a formalism that includes p-wave final-state interactions with J=3/2 in the analysis of the photoproduction reaction, enhancing previous low-energy models.

Findings

Inclusion of p-wave interactions improves the understanding of the reaction dynamics.

Evaluation of Sigma*(1385) exchange confirms its significance in the process.

The extended formalism aligns with chiral Lagrangian predictions.

Abstract

We extend the formalism for the low-energy analysis of the $\gamma p\rightarrow K^{+}\pi\Sigma$ photoproduction reaction to include the strangeness $S=-1$ meson-baryon p-wave final-state interaction with total angular momentum $J=\frac{3}{2}\,$. As an application, and a check of our method, we evaluate contributions due to the exchange of the $\Sigma^{\ast}(1385)$ resonance as derived from a chiral Lagrangian.