The $\gamma p\to n{a}_2^{+}(1320)\to n{\rho }^0{\pi }^{+}$ reactions within an effective Lagrangian approach

We investigate the $a_2(1320)$ meson photon production in the $\gamma p \to n a^+_2(1320)$and$\gamma p \to n \rho^0 \pi^+$ reactions within the effective Lagrangian method. For $\gamma p\to n{a}_2^{+}(1320)$ reaction, by considering the contributions only from the $t-$channel ${\pi }^{+}$ exchange, we get a fairly good description of the current experimental total cross section data. We also studied the $\gamma p\to n{\rho }^0{\pi }^{+}$ reaction, which mainly contribute to the $\gamma p\to n{\pi }^{+}{\pi }^{+}{\pi }^{-}$ reaction. The latter reaction has measured by the CLAS Collaboration. The total cross sections, invariant mass distribution, and the Dalitz Plot of $\gamma p\to n{\rho }^0{\pi }^{+}$ reaction are shown, which can be tested by future experiments.