\begin{document}$ \Sigma^{*} $\end{document} state with quantum numbers spin-parity \begin{document}$ J^{P} =1/2^{-} $\end{document} is far from being established experimentally and theoretically, we perform a theoretical study on the \begin{document}$ \Sigma^*_{1/2^-} $\end{document} photo-production within the Regge-effective Lagrangian approach. Considering that \begin{document}$ \Sigma^*_{1/2^-} $\end{document} couples to the \begin{document}$ \bar{K}N $\end{document} channel, we study the contributions from the t-channel K exchange diagram. Moreover, the contributions from the t-channel \begin{document}$ K^* $\end{document} exchange, s-channel nucleon pole, u-channel Σ exchange, and contact term are considered. The differential and total cross sections of the process \begin{document}$ \gamma n \to K^{+}\Sigma^{*-}_{1/2^-} $\end{document} are predicted with our model parameters. The results should help in experimentally searching for the \begin{document}$ \Sigma^*_{1/2^-} $\end{document} state in the future."> Photo-production of lowest <inline-formula><tex-math id="M1">\begin{document}${\boldsymbol\Sigma^{*}_{\bf 1/2^-}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/80204e27-f13d-4599-8c94-0651f4f83b06/CPC-2023-0025_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/80204e27-f13d-4599-8c94-0651f4f83b06/CPC-2023-0025_M1.png"/></alternatives></inline-formula> state within the Regge-effective Lagrangian approach -
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