Search for $\ddot{I}{ˆ}_0(4360)\to \hat{I}\cdot \ddot{I}ˆ(2S)$ through the process $e^{+}{e}^{-}\to \hat{I}\cdot \hat{I}\cdot \ddot{I}ˆ(2S)$

Abstract

Using data samples corresponding to an integrated luminosity of 0.9~fb${}^{-1}$ collected with the BESIII detector operating at the BEPCII storage ring at the center-of-mass energies of 4.84, 4.92, and 4.95~GeV, we search for the exotic charmonium-like state with quantum numbers $J^{PC}=0^{--}$, $\ddot{I}{ˆ}_0(4360)$, in the process $e^{+}{e}^{-}\to \hat{I}\cdot \ddot{I}{ˆ}_0(4360)$ with $\ddot{I}{ˆ}_0(4360)\to \hat{I}\cdot \ddot{I}ˆ(2S)$. No significant signal of the $\ddot{I}{ˆ}_0(4360)$ resonance state is observed. Upper limits on $\ddot{I}ƒ(e^{+}{e}^{-}\to \hat{I}\cdot \ddot{I}{ˆ}_0(4360))\cdot B(\ddot{I}{ˆ}_0(4360)\to \hat{I}\cdot \ddot{I}ˆ(2S))$ and $\ddot{I}ƒ(e^{+}{e}^{-}\to \hat{I}\cdot \hat{I}\cdot \ddot{I}ˆ(2S))$ at the 90\% confidence level are determined for each energy point.