Single Diffractive Hard Exclusive Process via γp → γπ⁰p with GlueX

The primary goal of the GlueX experiment at Jefferson Laboratory is to advance our knowledge of the spectrum of light mesons produced by a linearly polarized photon beam and proton target. This versatile experiment can provide insight into various sub-fields of hadronic physics including nucleon structure. Recent studies of the mass, spin, internal pressure, and sheer forces of the nucleon through Generalized Parton Distributions (GPDs) provide an opportunity to explore non-perturbative QCD. I will present the status of the reconstruction of hard exlusive γπ⁰ production using the GlueX Phase-I dataset, with a luminosity of ∼300 pb^-1 in the beam energy range 8 < E_γ < 12 GeV with the goal of further constraining the GPDs. This talk summarizes the current status of studying the Single Diffractive Hard Exclusive Process (SDHEP) via γp → γπ⁰p. Specifically, we aim to measure the first differential cross section and beam asymmetry for the SDHEP process to probe the x-dependence of the GPDs of the proton.