  An illustrative analysis is presented to show the origin of the
energy-independent maximal asymmetry observed for wide ranges of angles in the
reactions $\pbarppipi$ and $\pbarpKK$. % The general nature of our simple
relation between helicity -flip and -nonflip partial wave amplitudes enforces
the notion that % these features of the asymmetry for these two annihilation
reactions are likely to persist within the hadronic regime. % At higher
energies these features of the asymmetry will probably be modified
significantly, signaling the onset of perturbative QCD. % Our study supports
the arguments that the final $\KbarK$ state originates from a more central
reaction than the $\pipi$ final state.
