In our previous work [Phys. Rev. C 101, 014003 (2020)], we analyzed all available data on differential cross sections and spin density matrix elements for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction using an effective Lagrangian approach. There, the $t$-channel $K, K^{*}$, and $\kappa$ exchanges, the $u$-channel $\mathrm{\Lambda }, \mathrm{\Sigma }$, and ${\mathrm{\Sigma }}^{*}$ exchanges, the $s$-channel $N, N\left(2060\right)5/2^{-}$, and $N\left(2000\right)5/2^{+}$ exchanges, and the interaction current were taken into account in constructing the reaction amplitudes. It was found that, overall, the agreement of the theoretical results with the corresponding data is fairly good. However, noticeable discrepancies between the model results and the data on spin density matrix elements ${\rho }_{00}$ are still observed in the center-of-mass energy region around $W\approx 2.08$ GeV, indicating the need for additional reaction mechanisms. On the other hand, the hidden-strange pentaquark-like state $N\left(2080\right)3/2^{-}$, which is proposed to be a $K^{*}\mathrm{\Sigma }$ molecular state as the strange partner of the $P_c\left(4457\right)$ hadronic molecule, has been found to play quite active roles in reproducing the data for $K^{*+}{\mathrm{\Sigma }}^0, K^{*0}{\mathrm{\Sigma }}^{+}$, and $\varphi p$ photoproduction reactions. Based on these observations, in the present work, we reanalyze the data for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction by incorporating the pentaquark-like state $N\left(2080\right)3/2^{-}$ in our previously proposed model. The results show that, with the inclusion of the contributions of $N\left(2080\right)3/2^{-}$, the quality of the theoretical description of the $\gamma p\to K^{*+}\mathrm{\Lambda }$ data can be considerably improved. In particular, the data on spin density matrix elements ${\rho }_{00}$ and $\mathrm{Re}{\rho }_{10}$ in the near-threshold energy region are significantly better reproduced. This achievement indicates that the hypothesis of the $N\left(2080\right)3/2^{-}$ molecular state is compatible with the available data for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction. The reaction mechanism of $\gamma p\to K^{*+}\mathrm{\Lambda }$ is analyzed and the $N\left(2080\right)3/2^{-}, N\left(2060\right)5/2^{-}, N\left(2000\right)5/2^{+}$, and $K$ exchanges are found to provide dominant contributions.

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• Hadron production
• Phenomenology
• Strong interaction