Discovery potentials of double-charm tetraquarks

Abstract

In this study, we investigate the discovery potential of double-charm tetraquarks $T_{[\bar{q}{\bar{q}}^{\prime }]}^{\{cc\}}$. We find that their production cross sections at the LHCb with $\sqrt{s}=13$ TeV reach $\mathcal{O}(10^4)$ pb, which indicates that the LHCb has collected $\mathcal{O}(10^8)$ such particles. Through the decay channels of $T_{[\bar{u}\bar{d}]}^{\{cc\}}\to D^{+}{K}^{-}\ddot{I}{€}^{+}$ or $D^0{D}^{+}{\hat{I}}^3$ (if stable) or $T_{[\bar{u}\bar{d}]}^{\{cc\}}\to D^0{D}^{\ast +}\to D^0{D}^0\ddot{I}{€}^{+}$ (if unstable), it is highly expected that they get discovered at the LHCb in the near future. We also discuss the productions and decays of the double-charm tetraquarks at future Tera-$Z$ factories.