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.
Categories: nucl-th hep-ph