Implication of the existence of $J^{PC}=0^{--}$ $\bar{D}_sDK$ bound state on nature of $D_{s0}^*(2317)$ and new configuration of exotic state

Abstract

The discovery of numerous new hadrons over the past two decades has provided unprecedented opportunities to understand the non-perturbative QCD and hadron structure. Hadronic molecule picture plays an important role in explaining these new hadrons and enriching the configurations of exotic hadronic states. In this letter, using the model-independent $DK$ potential extracted from the relevant experimental data, a $J^{PC}=0^{--}$ $\bar{D}_sDK$ three-body hadronic molecule is predicted with a mass of $4310^{+14}_{-24}$ MeV. This state shows decoupling to conventional $c\bar{c}$ charmonia or the $\bar{D}_s D_{s0}^*(2317)$ two-body molecular state. It can be regarded as a compelling three-body hadronic molecular candidate. We further demonstrate that the $B^+ \to {D}^{*\pm}D^\mp K^+$ decays could be promising channels for searching for the predicted state in future high-luminosity LHCb runs.