  We present a geometric interpretation of the so-called annihilation range in
reactions of the type $\bar pp \to$ {\em two light mesons} based upon Lorentz
effects in the highly relativistic final states
($\gamma=E_{\mathrm{cm}}/2mc^2\simeq 6.8-8.0$). Lorentz-boosted meson wave
functions, within the framework of the constituent quark model, result in a
richer angular dependence of the annihilation amplitudes and thus in higher
partial wave contributions ($J>1$) than usually obtained. This approach sheds
some light on what could be a "{\em short}" annihilation range and how it is
influenced by the angular distribution of the final states.
