Search for Hybrid Mesons in Photoproduction: Kinematic and Angular Analysis of the Δ⁺⁺η′ Intermediate State

We present an analysis of exclusive photoproduction using data from the GlueX experiment at Jefferson Lab, focusing on events with the final state p π⁺ π⁺ π⁻ γ γ. This topology allows reconstruction of intermediate states such as η′→ηπ⁺π⁻ and η→γγ, with further analysis of Δ⁺⁺→pπ⁺ and possible contributions from exotic mesons like the π_₁⁻. To enhance signal purity, we applied cuts on invariant masses (η′, η, Δ⁺⁺), chi-squared per degree of freedom, −t, and implemented mass-dependent longitudinal phase space (LPS) cuts derived from Van Hove plots. A six-sector method was used to isolate kinematic regions contributing to the signal. We also analyzed the angular distribution of the Gottfried-Jackson angle (cos θ_GJ) versus mass to study the evolution of resonance structures. These selections help isolate resonant behavior in the η′ Δ⁺⁺ channel, with future work focused on partial wave analysis to extract spin-parity quantum numbers and search for hybrid mesons.