Since the LHCb collaboration successively reported the hidden-charm exotic states $P_c$ and $P_{cs}$, these exotic states have rightfully attracted significant attention from theoretical perspectives. Motivated by these exotic states, this study systematically investigates the hidden-charm double-strange pentaquark system with the quark configuration $nssc\overline{c}$ using the resonating group method within the framework of the quark delocalization color screening model. The dynamical estimations, incorporating channel coupling, identify five resonance states in the hidden-charm double-strange systems, denoted as ${\mathrm{\Xi }}_c^{\prime }{\overline{D}}_s^{*}$ and ${\mathrm{\Xi }}_c^{*}{\overline{D}}_s^{*}$ with $J^P=1/2^{-}$, ${\mathrm{\Xi }}_c^{*}{\overline{D}}_s$, ${\mathrm{\Xi }}_c^{*}{\overline{D}}_s^{*}$, and ${\mathrm{\Omega }}^{*}{\overline{D}}^{*}$ with $J^P=3/2^{-}$, through scattering phase shifts processes of various channels. ${\mathrm{\Xi }}_c^{\prime }{\overline{D}}_s^{*}$ and ${\mathrm{\Xi }}_c^{*}{\overline{D}}_s^{*}$ with $J^P=1/2^{-}$, with mass range and decay widths of (4684 MeV–4688 MeV, 6.4 MeV–24.2 MeV) and (4751 MeV–4756 MeV, 3.2 MeV–18.7 MeV), can be derived from the scattering processes of channels $\mathrm{\Xi }{\eta }_c$, $\mathrm{\Xi }J/\psi$, and ${\mathrm{\Xi }}_c{\overline{D}}_s$, it should be noted that resonance state ${\mathrm{\Xi }}_c^{\prime }{\overline{D}}_s^{*}$, in addition to the channels mentioned above, can also be observed in ${\mathrm{\Xi }}^{*}J/\psi$ and ${\mathrm{\Xi }}_c{\overline{D}}_s^{*}$. For the quantum number $J^P=3/2^{-}$, ${\mathrm{\Xi }}_c^{*}{\overline{D}}_s^{*}$ and ${\mathrm{\Omega }}^{*}{\overline{D}}^{*}$ can be identified in channels $\mathrm{\Xi }J/\psi$, ${\mathrm{\Xi }}^{*}J/\psi$ and ${\mathrm{\Xi }}_c{\overline{D}}_s^{*}$, and ${\mathrm{\Xi }}^{*}J/\psi$ and ${\mathrm{\Xi }}_c^{\prime }{\overline{D}}_s^{*}$, respectively, the estimated masses and decay widths of these resonance states range from approximately (4749 MeV–4755 MeV, 16.4 MeV) and (4771 MeV-4772 MeV, 18.8 MeV). However, the residual resonance state ${\mathrm{\Xi }}_c^{*}{\overline{D}}_s$, for which the estimated mass and decay width are about 4600 MeV and 21.7 MeV, is expected to be found only in channel ${\mathrm{\Xi }}_c{\overline{D}}_s^{*}$. Given the current theoretical estimations, experiments are anticipated to further explore hidden-charm double-strange pentaquark states through the possible decay channels, thereby offering a strong theoretical foundation for their experimental investigation.

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• Bound states
• Hadron-hadron interactions
• Multiquark bound states
• Phase shift
• Quark model