Strong decays of the $D{K}^{\ast }$ and $\bar{D}{K}^{\ast }$ molecular states

Inspired by the abundant structure near the threshold of the $D^{(\ast )}{K}^{(\ast )}\mathrm{/}{\bar{D}}^{(\ast )}{K}^{(\ast )}$, we estimate the strong decay properties of the $T_{c\bar{s}1}^{f\mathrm{/}a}$ and $T_{\bar{c}\bar{s}1}^{f\mathrm{/}a}$ with $I(J^P)=0\mathrm{/}1(1^{+})$ in $D{K}^{\ast }$ and $\bar{D}{K}^{\ast }$ molecular scenarios in the present paper. By employing the effective Lagrangian approach, the widths of the processes $T_{c\bar{s}1}^f\to D^{\ast }K,D_s^{\ast }\eta ,DK\pi$, $T_{c\bar{s}1}^a\to D^{\ast }K,D_s^{\ast }\pi ,DK\pi$, and $T_{\bar{c}\bar{s}1}^{f\mathrm{/}a}\to {\bar{D}}^{\ast }K,\bar{D}K\pi$ are estimated. Considering the present estimations, we propose to search for $T_{c\bar{s}1}^{f\mathrm{/}a}$ states in $D^{\ast }K$ and $D_s^{\ast }\pi \mathrm{/}{D}_s^{\ast }\eta$ mass invariant spectra. Their ratios may serve as an important test of the molecular scenario.