In this work, we explore the production of the newly observed charged charmoniumlike state $Z_c(3900{)}^{\pm }$ 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 $\gamma p\to Z_c(3900{)}^{+}n$ can reach up to the order of $0.1\mu b$. Furthermore, the Dalitz plot analysis is performed by considering the Pomeron exchange as the background contribution. This analysis shows that the $Z_c(3900{)}^{+}$ signal can be distinguished from the background easily and the best energy window of searching for $Z_c(3900{)}^{+}$ is $\sqrt{s}\simeq 7\mathrm{GeV}$, which is important information for further experimental study of $Z_c(3900{)}^{+}$ by meson photoproduction.

• Received 30 August 2013

DOI:https://doi.org/10.1103/PhysRevD.88.114009