The processes h_c\to\gamma P(P = \eta^\prime,~\eta,~\pi^0) are studied with a sample of (27.12\pm0.14)\times10^{8}\psi(3686) events collected by the BESIII detector at the BEPCII collider. The decay h_{c}\rightarrow\gamma\eta is observed for the first time with the significance of 9.0\,\sigma, and the branching fraction is determined to be (3.77\pm0.55\pm0.13\pm0.26)\times10^{-4}, while \mathscr{B}(h_{c}\rightarrow\gamma\eta^\prime) is... Show more