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

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