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

Tian-Wei Wu, Ming-Zhu Liu, Li-Sheng Geng

Published 2025-01-20Version 1

The discovery of numerous new hadrons in the last two decades provides an unprecedented opportunity to explore the non-perturbative QCD and hadron structure. Many of these hadrons cannot be understood as conventional $q\bar{q}$ mesons and $qqq$ baryons but instead as hadronic molecules. The most essential ingredient in the hadronic molecule picture is the hadron-hadron interactions. Therefore, It is vital to calculate/verify the underlying hadron interactions both theoretically and experimentally. In this letter, utilizing the model-independent $DK$ potential extracted from the relevant experimental data, we predict an exotic $J^{PC}=0^{--}$ $\bar{D}_sDK$ three-body hadronic molecule with a mass of $4310^{+14}_{-24}$ MeV. This state is exotic in two ways. First, the quantum number of $J^{PC}=0^{--}$ cannot be formed by conventional $c\bar{c}$ mesons. Second, it cannot be a two-body state $\bar{D}_sD_{s0}^*$ because their interaction is weak rather robust. We further demonstrate that the $B^+ \to {D}^{*-}D^+ K^+$ decay could be a suitable channel for searching for the predicted exotic state.