Color-singletψQproduction ate+e−colliders

We calculate in closed form the complete $O\left({\alpha }_s^2\right)$ color-singlet differential cross section for $e^{+}{e}^{-}\to {\gamma }^{*}\to {\psi }_Q+X$ scattering. The cross section reduces at high energies to a heavy quark fragmentation form. We find that the energy scale at which the approximate fragmentation result becomes reliable exceeds the ${\psi }_Q$ mass by more than an order of magnitude. We also discuss the color-singlet model's predictions for direct $\frac{J}{\psi }$ angular and energy distributions at CLEO.