Search for the ηc2(1D) in e+e−→γηc2(1D) at s near 10.6 GeV at Belle

For the first time we search for $\eta_{c2}(1D)$ in $e^+e^-\to\gamma\eta_{c2}(1D)$ at $\sqrt{s}$ = 10.52, 10.58, and 10.867 GeV with data samples of 89.5 fb$^{-1}$, 711 121.4 respectively, accumulated Belle detector KEKB asymmetric energy electron-positron collider. No significant signal is observed mass range between 3.8 3.88 GeV/$c^2$. The upper limit 90\% confidence level on product Born cross section $e^+e^- \to \gamma\eta_{c2}(1D)$ branching fraction $\eta_{c2}(1D)\to \gamma h_c(1P)$ determined to be $\sigma(e^+e^- \gamma\eta_{c2}(1D)){\cal B}(\eta_{c2}(1D)\to h_c(1P))$ $<$ 4.9 fb near 10.6 GeV.