Reggeized model for $\gamma p \to \rho^- \Delta^{++}(1232)$ photoproduction

TL;DR

This paper develops a reggeized model for the photoproduction reaction $ ho^-\, ext{Delta}^{++}$, analyzing electromagnetic moments, gauge invariance, and predicting photon polarization asymmetry at high energies.

Contribution

It introduces a reggeized model incorporating $ ho$ and $ ho$ exchange for the reaction, emphasizing gauge invariance and electromagnetic moments analysis.

Findings

Model successfully describes reaction at high energies.

Electromagnetic moments significantly influence cross sections.

Photon polarization asymmetry predicted for future measurements.

Abstract

A model for the reaction $\gamma p\to\rho^-\Delta^{++}$ is presented with the $t$-channel $\pi+\rho$ exchanges reggeized to describe the reaction up to high energies. Gauge invariance of $\rho$ exchange is discussed in connection with the convergence of the reaction cross section at high energy. The roles of electromagnetic (EM) multipole moments of $\Delta^{++}$ baryon and of $\rho^-$ meson are analyzed in total and differential cross sections and spin density matrix elements. Photon polarization asymmetry $\Sigma$ is predicted for a measurement of electromagnetic moments of $\rho^-$ and of $\Delta^{++}$.