Mass spectrum and strong decays of tetraquark $\overline{c}\overline{s}$qq states

We systematically study the mass spectrum and strong decays of the S-wave $\overline{c}\overline{s}$qq states in the compact tetraquark scenario with the quark model. The key ingredients of the model are the Coulomb, the linear confinement, and the hyperfine interactions. The hyperfine potential leads to the mixing between different color configurations, and to the large mass splitting between the two ground states with I(J${}^P$)=0(0${}^{+}$) and I(J${}^P$)=1(0${}^{+}$). We calculate their strong decay amplitudes into the ${\overline{D}}^{(\ast )}$K${}^{(\ast )}$ channels with the wave functions from the mass spectrum calculation and the quark-interchange method. We examine the interpretation of the recently observed X${}_0$(2900) as a tetraquark state. The mass and decay width of the I(J${}^P$)=1(0${}^{+}$) state are M=2941 MeV and ${\Gamma }_X$=26.6 MeV, respectively, which indicates that it might be a good candidate for X${}_0$(2900). Meanwhile, we also obtain an isospin partner state I(J${}^P$)=0(0${}^{+}$) with M=2649 MeV and ${\Gamma }_{X\to \overline{D}K}$=48.1 MeV, respectively. Future experimental search for X(2649) will be very helpful.