Relativistic treatment of pion wave functions in the annihilation pp→π-π+

Quark model intrinsic wave functions of highly energetic pions in the reaction pp→π-π+ are subjected to a relativistic treatment. The annihilation is described in a constituent quark model with A2 and R2 flavor-flux topology, and the annihilated quark-antiquark pairs are in 3P0 and 3S1 states. We study the effects of pure Lorentz transformations on the antiquark and quark spatial wave functions and their respective spinors in the pion. The modified quark geometry of the pion has considerable impact on the angular dependence of the annihilation mechanisms