We study the $P_c(4450)$ structure in $J/\psi$ photoproduction, and discuss the feasibility of observing it in the CLAS12 experiment at the Jefferson Lab. This resonance-like structure has recently been observed in the $J/\psi~p$ spectrum by the LHCb collaboration.
Our study presents a first estimate of the upper limit for the branching ratio of the $P_c(4450)$ to the $J/\psi~p$ channel. We take into account the experimental resolution effects, and predict that it will be possible to observe a sizable cross section close to the $J/\psi$ production threshold. This will shed light on the nature of the $P_c(4450)$ resonance in the future photoproduction measurements.
Furthermore, we give a study of the angular distributions of the differential cross sections, analyzing their sensitivity on the photocoupling sizes. With this information, the latter can also be constrained experimentally.