Search for $\psi_0(4360)\rightarrow \eta\psi(2S)$ through the process $e^+e^- \rightarrow \eta\eta\psi(2S)$

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 $J^{PC}=0^{--}$, $\psi_0(4360)$, in the process $e^+e^-\rightarrow\eta\psi_0(4360)$ with $\psi_0(4360)\rightarrow\eta\psi(2S)$. No significant signal of the $\psi_0(4360)$ resonance state is observed. Upper limits on $\sigma(e^+e^-\rightarrow\eta\psi_0(4360))\cdot {B}(\psi_0(4360)\rightarrow\eta\psi(2S))$ and $\sigma(e^+e^-\rightarrow\eta\eta\psi(2S))$ at the 90\% confidence level are determined for each energy point.