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In this work, we explore the production of the newly observed charged charmoniumlike state by the photoproduction process $\gamma p\to Z_c(3900)^+n$. Our numerical result indicates that the maximum of the calculated total cross section of can reach up to the order of . Furthermore, the Dalitz plot analysis is performed by considering the Pomeron exchange as the background contribution. This analysis shows that the signal can be distinguished from the background easily and the best energy window of searching for is GeV, which is important information for further experimental study of by meson photoproduction.

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