In our earlier work [A. C. Wang et al., Phys. Rev. C 98, 045209 (2018)], we analyzed the differential cross-section data from the CLAS Collaboration for the reactions $\gamma p\to K^{*+}{\mathrm{\Sigma }}^0$ and $\gamma p\to K^{*0}{\mathrm{\Sigma }}^{+}$ using an effective Lagrangian approach. We found that a satisfactory description of the data required the inclusion of the $s$-channel $\mathrm{\Delta }\left(1905\right)5/2^{+}$ resonance, in addition to $t$-channel exchanges of $K, \kappa$, and $K^{*}, s$-channel contributions from nucleon ($N$) and $\mathrm{\Delta }, u$-channel exchanges of $\mathrm{\Lambda }, \mathrm{\Sigma }$, and ${\mathrm{\Sigma }}^{*}$, and a generalized contact term. In the present work, we extend our analysis to incorporate the data on spin density matrix elements from the LEPS Collaboration for the $\gamma p\to K^{*0}{\mathrm{\Sigma }}^{+}$ reaction at photon energies $E_{\gamma }=1.85–2.96\mathrm{GeV}$. Our goal is to impose more stringent constraints on the theoretical model and obtain a more reliable understanding of the reaction mechanisms. We obtain two fits that describe the experimental data equally well. In both fits, the $\mathrm{\Delta }\left(1905\right)5/2^{+}$ resonance plays an important role. However, the contribution from $t$-channel $\kappa$ exchange is significant in one fit but negligible in the other. This finding contradicts earlier claims in the literature that the LEPS parity spin asymmetry $P_{\sigma }$ data support a dominant role of $\kappa$ exchange in $\gamma p\to K^{*0}{\mathrm{\Sigma }}^{+}$. We also present predictions for $P_{\sigma }$ at $E_{\gamma }=8.5$ GeV, which may help clarify whether $\kappa$ exchange is indeed dominant in this reaction.

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• Feynman diagrams
• Particle interactions
• Particle production
• Phenomenology
• Quantum chromodynamics