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We use a distorted wave approximation approach which includes $^3P_0$ and$^3S_1$ quark-antiquark annihilation mechanisms to reproduce the data set fromLEAR on $\bar p p\to \pi^+\pi^-$ in the range from 360 to 1550 MeV/c.Improvements of the model are sought by implementing final-state interactionsof the pions and by observing that the annihilation is too short-ranged inearlier attempts to describe the data. While the former improvement is due toto the final-state $\pi\pi$ wave functions solely, the latter one originatesfrom quark wave functions for proton, antiproton, and pions with radii slightlylarger than the respective measured charge radii. This increase in hadronradius, as compared with typically much smaller radii used before in the quarkmodel, increases the annihilation range and thereby the amplitudes for $J\ge2$are much higher. Finally, given the very high kinetic energy of the finalpions, we investigate the role of relativistic corrections in the pion wavefunctions when boosted into the center-of-mass frame.Comment: 5 pages, 1 figure, to be published in the N*2002 proceeding

THE REACTION $ \bar PP \to \pi ^ + \pi ^ - $: RELATIVISTIC ASPECTS AND FINAL-STATE INTERACTION IN THE PION WAVE FUNCTIONS