A formalism for the study of $K^{+}\pi\,\Sigma$ photoproduction in the $\Lambda^{\ast}(1405)$ region

TL;DR

This paper develops a formalism for analyzing low-energy $K^{+}\pi\Sigma$ photoproduction near the $ ext{Λ}^*(1405)$ resonance, incorporating unitarity, gauge invariance, and chiral perturbation theory constraints.

Contribution

It introduces a new formalism that combines unitarity, gauge invariance, and chiral perturbation theory for studying $ ext{K}^+\pi\Sigma$ photoproduction in the $ ext{Λ}^*(1405)$ region.

Findings

Formalism respects unitarity, gauge invariance, and chiral symmetry.

Provides a framework for analyzing experimental data in the $ ext{Λ}^*(1405)$ region.

Facilitates understanding of the resonance structure in photoproduction.

Abstract

We present a formalism for the low-energy analysis of the $\gamma p\rightarrow K^{+}\pi\Sigma$ photoproduction reaction in the $\Lambda^{\ast}(1405)$ resonance region. In particular, the constraints arising from unitarity, gauge invariance and chiral perturbation theory are discussed in some detail.