\begin{document}$ D_s^{(*)+}\Xi_c^{(',*)} $\end{document} systems with \begin{document}$ J^P=1/2^-,3/2^- $\end{document}, and \begin{document}$ 5/2^- $\end{document} are investigated with interactions described by light meson exchanges. By varying the cutoff in a phenomenologically reasonable range of \begin{document}$1- 2.5$\end{document} GeV, we find ten near-threshold (bound or virtual) states in the single-channel case. After introducing the coupled-channel dynamics of \begin{document}$ D_s^{+}\Xi_c $\end{document}-\begin{document}$ D_s^{+}\Xi_c^{'} $\end{document}-\begin{document}$ D_s^{*+}\Xi_c $\end{document}-\begin{document}$ D_s^{+}\Xi_c^{*} $\end{document}-\begin{document}$ D_s^{*+}\Xi_c^{'} $\end{document}-\begin{document}$ D_s^{*+}\Xi_c^{*} $\end{document} systems, these states, except those below the lowest channels in each \begin{document}$ J^{P} $\end{document} sector, move into the complex energy plane and become resonances in the mass range \begin{document}$4.43-4.76$\end{document} GeV. Their spin-parities and nearby thresholds are \begin{document}$ 1/2^-(D_s^{+}\Xi_c) $\end{document}, \begin{document}$ 1/2^-(D_s^{+}\Xi_c^{'}) $\end{document}, \begin{document}$ 1/2^-(D_s^{*+}\Xi_c) $\end{document}, \begin{document}$ 1/2^-(D_s^{*+}\Xi_c^{'}) $\end{document}, \begin{document}$ 1/2^-(D_s^{*+}\Xi_c^{*}) $\end{document}, \begin{document}$ 3/2^-(D_s^{*+}\Xi_c) $\end{document}, \begin{document}$ 3/2^-(D_s^{+}\Xi_c) $\end{document}, \begin{document}$ 3/2^-(D_s^{*+}\Xi_c^{'}) $\end{document}, \begin{document}$ 3/2^-(D_s^{*+}\Xi_c^{*}) $\end{document}, and \begin{document}$ 5/2^-(D_s^{*+}\Xi_c^{*}) $\end{document}. The impact of the \begin{document}$ \delta({{\boldsymbol{ r }}}) $\end{document}-term in the one-boson-exchange model on these states is presented. Setting \begin{document}$ \Lambda=1.5 $\end{document} GeV as an illustrative value, it is found that \begin{document}$ 1/2^-(D_s^{+}\Xi_c) $\end{document} is a stable bound state (becoming unstable if the coupling to lower channels is turned on), \begin{document}$ 1/2^-(D_s^{*+}\Xi_c) $\end{document} and \begin{document}$ 3/2^-(D_s^{*+}\Xi_c) $\end{document} are physical resonances in cases where the \begin{document}$ \delta({{\boldsymbol{ r }}}) $\end{document}-term is included or excluded, and the other seven states are physical resonances or "virtual-state-like" poles near thresholds, depending on whether the \begin{document}$ \delta({{\boldsymbol{ r }}}) $\end{document}-term is included. In addition, the partial decay widths of the physical resonances are provided. These double-charm hidden-strangeness pentaquark states, as the partners of the experimentally observed \begin{document}$ P_c $\end{document} and \begin{document}$ P_{cs} $\end{document} states, can be searched for in the \begin{document}$ D^{(*)}\Lambda_c $\end{document} final states in the future."> Molecular states in <inline-formula><tex-math id="M1">\begin{document}$ {\boldsymbol{D_s^{(*)+}} \boldsymbol{\Xi_c^{(',*)}}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/84e8d4fa-8fae-4704-88d4-6fb4ae247d6b/CPC-2023-0266_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/84e8d4fa-8fae-4704-88d4-6fb4ae247d6b/CPC-2023-0266_M1.png"/></alternatives></inline-formula> systems -
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