Search for the reaction $e^{+}{e}^{-}\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{‡}_{cJ}$ and a charmonium-like structure decaying to $\ddot{I}{‡}_{cJ}\ddot{I}{€}^{\pm }$ between 4.18 and 4.60 GeV

Abstract

We search for the process $e^{+}{e}^{-}\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{‡}_{cJ}$ ($J=0,1,2$) and for a charged charmonium-like state in the $\ddot{I}{€}^{\pm }\ddot{I}{‡}_{cJ}$ subsystem. The search uses data sets collected with the BESIII detector at the BEPCII storage ring at center-of-mass energies between 4.18 GeV and 4.60 GeV. No significant $\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{‡}_{cJ}$ signals are observed at any center-of-mass energy, and thus upper limits are provided which also serve as limits for a possible charmonium-like structure in the invariant $\ddot{I}{€}^{\pm }\ddot{I}{‡}_{cJ}$ mass.