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Using data samples of 89.5~fb$^{-1}$, 711.0~fb$^{-1}$, and 121.4~fb$^{-1}$collected with the Belle detector at the KEKB asymmetric-energy $e^+e^-$collider at center-of-mass energies 10.52 GeV, 10.58 GeV, and 10.867 GeV,respectively, we study the exclusive reactions $e^+e^-\to\gamma\chi_{cJ}$ ($J =0,~1,~2$) and $e^+e^-\to\gamma\eta_c$. A significant $\gamma \chi_{c1}$ signalis observed for the first time at $\sqrt{s}=10.58$ GeV with a significance of$5.1\sigma$ including systematic uncertainties. No significant excesses for$\gamma \chi_{c0}$, $\gamma \chi_{c2}$, and $\gamma \eta_c$ final states arefound, and we set 90\% credibility level upper limits on the Born crosssections ($\sigma_{\rm B}$) at 10.52 GeV, 10.58 GeV, and 10.867~GeV. Togetherwith cross sections measured by BESIII at lower center-of-mass energies, theenergy dependency of $\sigma_{\rm B}(e^+e^-\to\gamma\chi_{c1})$ is obtained.

physical review. d/physical review. d.

Observation of $e^+e^- \to \gamma \chi_{c1}$ and search for $e^+e^- \to  \gamma \chi_{c0}, \gamma \chi_{c2},$ and $\gamma\eta_c$ at $\sqrt{s}$ near  10.6 GeV at Belle