Search for the double-charmonium state with $η_c J/ψ$ at Belle

Abstract

We measure the cross section of $e^+e^-\rightarrowη_c J/ψ$ at the $Υ(nS) (n=1$ -- $5)$ on-resonance and 10.52 GeV off-resonance energy points using the full data sample collected by the Belle detector with an integrated luminosity of $955~\rm fb^{-1}$. We also search for double charmonium production in $e^+e^-\rightarrowη_c J/ψ$ via initial state radiation near the $η_c J/ψ$ threshold. No evident signal of the double charmonium state is found, but evidence for the $e^+e^-\rightarrowη_c J/ψ$ process is found with a statistical significance greater than $3.3σ$ near the $η_c J/ψ$ threshold. The average cross section near the threshold is measured and upper limits of cross sections are set for other regions.