  By using the cross sections of e^+e^- \to p\bar{p}{\pi}^0 measured at the
center-of-mass energies from 3.65 to 4.60 GeV, we find that the line shape well
agrees with pure continuum production parametrized by a power law function and
the significance of both {\psi}(3770) and {\psi}(4230) \to p\bar{p}{\pi}^0 is
less than 0.4{\sigma}. We set more stringent constraints on the charmless
decays of the charmonium state, {\psi}(3770), and the charmoniumlike state,
{\psi}(4230), to p\bar{p}{\pi}^0 than in previous measurements. The data are
also used to estimate the cross sections of p\bar{p} \to {\pi}^0{\psi}(3770)
and p\bar{p} \to {\pi}^0{\psi}(4230) that are essential for planning the data
taking of the PANDA experiment.
