Studying the \(P_c(4450)\) Resonance in \(J/\psi \) Photoproduction Off Protons

The LHCb has reported the observation of a resonancelike structure, the \(P_c(4450)\), in the \(J/\psi ~p\) invariant masses. In our work, we discuss the feasibility of detecting this structure in \(J/\psi \) photoproduction, e.g. in the measurements that have been approved for the experiments in Hall A/C and in Hall B with CLAS12 at JLab. Also the GlueX Collaboration has already reported preliminary results. We take into account the experimental resolution effects, and perform a global fit to world \(J/\psi \) photoproduction data in order to study the possibility of observing the \(P_c(4450)\) signal in future JLab data. We present a first estimate of the upper limit for the branching ratio of the \(P_c(4450)\) into the \(J/\psi ~p\) channel, and we study the angular distributions of the differential cross sections. This will shed light on the nature and couplings of the \(P_c(4450)\) structure in the future photoproduction experiments.