Radiative angular distributions from charmonium states directly produced by p-barp annihilation.

We calculate the combined angular distributions of the photon and the electron in the cascade process $p\overline{p}\ensuremath{\rightarrow}{\ensuremath{\chi}}_{J}\ensuremath{\rightarrow}({e}^{+}{e}^{\ensuremath{-}})\ensuremath{\gamma}$ ($J=2,1,0$), in terms of the helicity or the multipole transition amplitudes in $\ensuremath{\psi}$. Our expressions for them differ from those found previously. We describe the origin of these differences. The effect of the motion of $\ensuremath{\psi}$ in the ${\ensuremath{\chi}}_{J}$ rest frame on the angular-distribution functions is taken into account.