Photoproduction of the charged charmoniumlike Z_(c)⁺(4200)

In this work, inspired by the observation of charmoniumlike $Z_{c}^{+}(4200)$% , we study the photoproduction of charged charmoniumlike $Z_{c}^{+}(4200)$ with an effective Lagrangian approach and the Regge trajectories model. The numerical results indicate that the Reggeized treatment can lead to a lower total cross section of the $Z_{c}^{+}(4200)$ photoproduction and the peak position of cross section was moved to the higher energy point when the Reggeized treatment was added. {Moreover, using the data from the COMPASS experiment and presented theoretical predictions, an upper limit of the decay width of $Z_{c}(4200)\rightarrow J/\psi \pi $ is estimated.} The relevant results not only shed light on the further experiment of searching for the charmoniumlike $Z_{c}(4200)$ state via meson photoproduction, but also provide valuable informations for having a better comprehension of the nature of charmoniumlike $Z_{c}(4200)$ state.