Very recently LHCb reported the evidence of a new charged charmonium-like structure in the $J/\psi \pi^-$ invariant mass spectrum near 4600 MeV. In this work we investigate this structure together with three other charged charmonium-like states, the $Z_c(3900)$, $Z_c(4020)$, and $Z_c(4430)$. Our results suggest that the two higher states can be established as the first radial excitations of the two lower ones, all of which have the quantum numbers $J^{ PC}=1^{ +-}$. We propose to search for more relationship among exotic hadrons in order to better understand them.

Categories: hep-ph hep-ex hep-lat

Settling the $Z_c(4600)$ in the charged charmonium-like family