Finite-Energy Sum Rules in Eta Photoproduction off the Nucleon

TL;DR

This paper applies finite-energy sum rules to eta photoproduction off nucleons at high energies, linking resonance data to Regge theory, and predicts beam asymmetry behavior.

Contribution

It introduces a novel application of finite-energy sum rules to connect resonance region data with Regge residues in eta photoproduction.

Findings

Analyticity enables mapping of t-dependence of Regge residues.

Predictions for high-energy beam asymmetry energy dependence.

Method bridges resonance data and Regge theory in eta photoproduction.

Abstract

The reaction ${\gamma}N \to {\eta}N$ is studied in the high-energy regime (with photon lab energies $E_{\gamma}^{\textrm{lab}} > 4$ GeV) using information from the resonance region through the use of finite-energy sum rules (FESR). We illustrate how analyticity allows one to map the t-dependence of the unknown Regge residue functions. We provide predictions for the energy dependence of the beam asymmetry at high energies.