By assuming that the is a molecular state with spin-parity and , the photoproduction of charmed $\Lambda _{c}^{\ast }(2940)\gamma n\rightarrow D^{-}\Lambda _{c}^{\ast }(2940)^{+}$ process is investigated with an effective Lagrangian approach. It is found that the contributions from -channel with exchange are dominant, while the -channel with nucleon pole exchange give a sizeable contribution around the threshold. The contributions from the -channel and contact term are very small. The total cross section of the $\gamma n\rightarrow D^{-}\Lambda _{c}^{\ast }(2940)^{+}$ reaction is estimated, which indicate it is feasible to searching for the charmed $\Lambda _{c}^{\ast }(2940)$ baryon at the COMPASS experiment.

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