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The two-channel photoproductions of $\gamma p \to K^{*+} \Sigma^{0}$ and$\gamma p \to K^{*0} \Sigma^{+}$ are investigated based on an effectiveLagrangian approach at the tree-level Born approximation. In addition to the$t$-channel $K$, $\kappa$, $K^*$ exchanges, the $s$-channel nucleon ($N$) and$\Delta$ exchanges, the $u$-channel $\Lambda$, $\Sigma$, $\Sigma^*$ exchanges,and the generalized contact term, we try to take into account the minimumnumber of baryon resonances in constructing the reaction amplitudes to describethe experimental data. It is found that by including the $\Delta(1905)5/2^+$resonance with its mass, width, and helicity amplitudes taken from the Reviewof Particle Physics [Particle Data Group, C. Patrignani {\it et al.}, Chin.Phys. C {\bf 40}, 100001 (2016)], the calculated differential and total crosssections for these two reactions are in good agreement with the experimentaldata. An analysis of the reaction mechanisms shows that the cross sections of$\gamma p \to K^{*+}\Sigma^{0}$ are dominated by the $s$-channel$\Delta(1905)5/2^+$ exchange at low energies and $t$-channel $K^*$ exchange athigh energies, with the $s$-channel $\Delta$ exchange providing significantcontributions in the near-threshold region. For $\gamma p \toK^{*0}\Sigma^{+}$, the angular dependences are dominated by the $t$-channel $K$exchange at forward angles and the $u$-channel $\Sigma^*$ exchange at backwardangles, with the $s$-channel $\Delta$ and $\Delta(1905)5/2^+$ exchanges makingconsiderable contributions at low energies. Predictions are given for the beam,target, and recoil asymmetries for both reactions.

Effects of $\Delta(1905)5/2^+$ on $K^*\Sigma$ photoproduction