\begin{document}$ D_s\bar{D}_s $\end{document} system using the Bethe-Salpeter (BS) formalism within both the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation with a kernel that incorporates contributions from ϕ and \begin{document}$ J/\psi $\end{document} meson exchanges, we confirm the existence of a loosely bound state. Furthermore, we explore the partial decay widths of the \begin{document}$ D_s\bar{D}_s $\end{document} bound state into the \begin{document}$ D\bar{D} $\end{document}, \begin{document}$ \eta_c\eta $\end{document}, and \begin{document}$ J/\psi\omega $\end{document} channels, and observe that these widths are sensitive to the model parameter α. Notably, we find the dominant decay channel for the \begin{document}$ D_s\bar{D}_s $\end{document} bound state to be \begin{document}$ D\bar{D} $\end{document}."> The properties of the <i>S</i>-wave <i>D<sub>s</sub><span style="text-decoration:overline">D</span><sub>s</sub></i> bound state -
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