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 $Z_c(4200)\to J\mathrm{/}\psi \pi$ 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.