Search for the η$_{c2}$(1D) in e⁺e⁻ → γη$_{c2}$(1D) at √s near 10.6 GeV at Belle

For the first time we search for the η$_{c2}$(1D) in e$^{+}$e$^{-}$→γη$_{c2}$(1D) at $\sqrt{s}$=10.52, 10.58, and 10.867 GeV with data samples of 89.5  fb$^{-1}$, 711  fb$^{-1}$, and 121.4  fb$^{-1}$, respectively, accumulated with the Belle detector at the KEKB asymmetric energy electron-positron collider. No significant η$_{c2}$(1D) signal is observed in the mass range between 3.8 and 3.88  GeV/c2. The upper limit at 90% confidence level on the product of the Born cross section for e+e−→γηc2(1D) and branching fraction for η$_{c2}$(1D)→γh$_{c}$(1P) is determined to be σ(e$^{+}$e$^{-}$→γη$_{c2}$(1D))B(η$_{c2}$(1D)→γh$_{c}$(1P))<4.9  fb at $\sqrt{s}$ near 10.6 GeV.