\begin{document}$\bar{D}_s^{(*)}D^{(*)}$\end{document} molecular states and \begin{document}$sc\bar q\bar c$\end{document} tetraquark states with \begin{document}$J^P=0^+, 1^+, 2^+$\end{document}. The masses of the axial-vector \begin{document}$\bar{D}_sD^{*}$\end{document}, \begin{document}$\bar{D}_s^{*}D$\end{document} molecular states and \begin{document}${\bf 1}_{\boldsymbol{[sc]}}\boldsymbol \oplus {\bf 0}_{\boldsymbol{[\bar q \bar{c}]}}$\end{document}, \begin{document}${\bf 0}_{\boldsymbol{[sc]}} \oplus {\bf 1}_{\boldsymbol{[\bar q \bar{c}]}}$\end{document} tetraquark states are predicted to be approximately 3.98 GeV, in good agreement with the mass of \begin{document}$Z_{cs}(3985)^-$\end{document} from BESIII. In both the molecular and diquark-antidiquark scenarios, our results suggest that there may exist two almost degenerate states, as the strange partners of \begin{document}$X(3872)$\end{document} and \begin{document}$Z_c(3900)$\end{document}. We propose to carefully examine \begin{document}$Z_{cs}(3985)$\end{document} in future experiments to verify this. One may also search for more hidden-charm four-quark states with strangeness in not only the open-charm \begin{document}$\bar{D}_s^{(*)}D^{(*)}$\end{document} channels but also the hidden-charm channels \begin{document}$\eta_c K/K^\ast$\end{document}, \begin{document}$J/\psi K/K^\ast$\end{document}."> Exotic <inline-formula><tex-math id="M1-1">\begin{document}${\bar{\boldsymbol D}_{\boldsymbol s}^{({\bf *})}{\boldsymbol D}^{({\bf *})}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/dcc101ed-ceeb-4915-ba47-08430a710cb0/CPC-2021-0215_M1-1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/dcc101ed-ceeb-4915-ba47-08430a710cb0/CPC-2021-0215_M1-1.png"/></alternatives></inline-formula> molecular states and <inline-formula><tex-math id="M2-3">\begin{document}${ {\boldsymbol{sc}}\bar {\boldsymbol q}\bar {\boldsymbol c} }$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/dcc101ed-ceeb-4915-ba47-08430a710cb0/CPC-2021-0215_M2-3.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/dcc101ed-ceeb-4915-ba47-08430a710cb0/CPC-2021-0215_M2-3.png"/></alternatives></inline-formula> tetraquark states with <i>J<sup>P</sup></i>=0<sup>+</sup>, 1<sup>+</sup>, 2<sup>+</sup> -
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