\begin{document}$ \Lambda_c K^* $\end{document} and \begin{document}$ \Sigma_c K^{(*)} $\end{document} molecules as predicted in our previous study [Phys. Rev. D 108, 054011 (2023)]. Our results indicate that the decay width for the coupled \begin{document}$ \Sigma_c K / \Lambda_c K^* / \Sigma_c K^* $\end{document} molecule with \begin{document}$ I(J^P) = 1/2(1/2^-) $\end{document} is on the order of several MeV, with the \begin{document}$ D_s N $\end{document} channel being dominant. For the coupled \begin{document}$ \Lambda_c K^* / \Sigma_c K^* $\end{document} molecule with \begin{document}$ 1/2(1/2^-, 3/2^-) $\end{document}, the decay widths are on the order of tens of MeV, with the dominant channels being \begin{document}$ \Sigma_c K $\end{document} and \begin{document}$ \Sigma_c^* K $\end{document}, respectively. For the \begin{document}$ \Sigma_c K^* $\end{document} molecules with \begin{document}$ 1/2(1/2^-) $\end{document}, the decay width can reach one hundred MeV, with \begin{document}$ \Sigma_c K $\end{document} and \begin{document}$ \Lambda_c K $\end{document} being the dominant decay channels. The decay widths for the \begin{document}$ \Sigma_c K^* $\end{document} molecules with \begin{document}$ 1/2(3/2^-) $\end{document} and \begin{document}$ 3/2(1/2^-) $\end{document} are on the order of tens of MeV, with the dominant decay modes being \begin{document}$ \Sigma_c^* K $\end{document} and \begin{document}$ \Sigma_c K $\end{document}, respectively. The branching ratios for all the discussed channels exhibit slight dependence on the binding energies."> Exploring the two-body strong decay properties of the possible <inline-formula><tex-math id="M1">\begin{document}${\boldsymbol\Lambda_{\boldsymbol c}\boldsymbol K^{*}}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/1bea36ce-223f-4b14-abd6-45a4b3ba9109/CPC-2025-0217_M1.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/1bea36ce-223f-4b14-abd6-45a4b3ba9109/CPC-2025-0217_M1.png"/></alternatives></inline-formula> and <inline-formula><tex-math id="M2">\begin{document}${\boldsymbol\Sigma_{\boldsymbol c}\boldsymbol K^{(*)}}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/1bea36ce-223f-4b14-abd6-45a4b3ba9109/CPC-2025-0217_M2.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/1bea36ce-223f-4b14-abd6-45a4b3ba9109/CPC-2025-0217_M2.png"/></alternatives></inline-formula> molecules -
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