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Stimulated by the state $Y(4626)$ recently reported by Belle Collaboration,we utilize a multiquark color flux-tube model with a multibody confinementpotential and one-glue-exchange interaction to make an exhaustive investigationon the diquark-antidiquark state $[cs][\bar{c}\bar{s}]$. Numerical resultsindicate that the appearance of the states $[cs][\bar{c}\bar{s}]$ like adumb-bell, the larger the orbital excitation $L$, the more distinguished theshape. The mixing of the color configurations$\left[[cs]_{\bar{\mathbf{3}}_c}[\bar{c}\bar{s}]_{\mathbf{3}_c}\right]_{\mathbf{1}}$and$\left[[cs]_{\mathbf{6}_c}[\bar{c}\bar{s}]_{\bar{\mathbf{6}}_c}\right]_{\mathbf{1}}$in the ground states is strong while the color configuration$\left[[cs]_{\bar{\mathbf{3}}_c}[\bar{c}\bar{s}]_{\mathbf{3}_c}\right]_{\mathbf{1}}$is absolutely predominant in the excited states. The main component of thestate $Y(4626)$ can be interpreted as a $P$-wave state $[cs][\bar{c}\bar{s}]$.Its hidden-bottom partner is predicted in the model calculation. The states$X(4140)$, $X(4274)$, $X(4350)$, $X(4500)$ and $X(4700)$ are also discussed.

Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?