Search for the $D^{\ast }{\bar{D}}^{\ast }$ molecular state $Z_c(4000)$ in the reaction $B^{-}\to J/\psi {\rho }^0{K}^{-}$

Abstract

Based on the prediction of a $D^{\ast }{\bar{D}}^{\ast }$ molecular state $Z_c(4000)$ with isospin $I=1$ in the coupled channel approach, we suggest to search for this state in the reaction $B^{-}\to J/\psi {\rho }^0{K}^{-}$. By taking into account the final state interactions of $J/\psi \rho$ and $D^{\ast 0}{\bar{D}}^{\ast 0}$, and the contribution from the $K_1(1270)$ resonance, we find that the $J/\psi \rho$ mass distribution shows a peak around 4000~MeV, which could be associated to the $D^{\ast }{\bar{D}}^{\ast }$ molecular state $Z_c(4000)$. Searching for the $Z_c(4000)$ in the reaction $B^{-}\to J/\psi {\rho }^0{K}^{-}$ is crucial to understand the internal structures of the exotic hadrons, and our predictions can be tested by the Belle II and LHCb in future.

Comments: 7 pages, 10 figures, to be published in Chinese Physics C