Study of double-charm and double-strange tetraquark Xccs¯s¯

Abstract

In the framework of the quark delocalization color screening model, we search for the double-charm and double-strange tetraquark ${X}_{cc\overline{s}\overline{s}}$ with two structures: $Q\overline{q}\ensuremath{-}Q\overline{q}$ and $QQ\ensuremath{-}\overline{q}\overline{q}$. The bound-state calculation shows that there is no bound state in the present work. However, by applying a stabilization calculation and coupling all channels of both structures, two new resonance states with $I{J}^{P}=0{0}^{+}$ are obtained, one with mass and width around 4250 and 6 MeV, respectively, and another one with mass and width around 4300 and 19 MeV, respectively. Both of these states are more likely to be the compact resonance states. Although no significant signals were observed in the present experiment at the Belle Collaboration, there are still some structures around 4.3 GeV in the distributions of ${M}_{{D}_{s}^{+}{D}_{s}^{+}}$ and ${M}_{{D}_{s}^{*+}{D}_{s}^{*+}}$. We suggest that the experiment can be further tested with a larger amount of data.