Revisiting the OZI-forbidden Radiative Decays of Orthoquarkonia

Abstract

It is interesting to investigate the OZI-forbidden radiative orthoquarkonium decays $J/\psi\to \gamma\pi^0, \gamma\eta$ and $\gamma\eta'$ in perturbative QCD. In this work without the approximations adopted in literature we carry out a full one-loop calculation which involves integrations of 4-point and 5-point loop functions. Our numerical results are in agreement with the present data. We also briefly discuss the decays of $J/\psi\to \gamma+\rho^0$, as well as $\Upsilon\to \pi^0\gamma, \eta\gamma, \eta'\gamma$.