A relativistic treatment of pion wave functions in the annihilation antiproton-proton -> pi^-pi^+

Details A relativistic treatment of pion wave functions in the annihilation antiproton-proton -> pi^-pi^+ A relativistic treatment of pion wave functions in the annihilation antiproton-proton -> pi^-pi^+

2004-03-17

arxiv.org/abs/nucl-th/0403050v1

Phys.Rev. C70 (2004) 034001

Physics

Nuclear Physics

Nuclear Theory

10 pages in revtex format, 3 figures

Scientific paper

10.1103/PhysRevC.70.034001

Quark model intrinsic wave functions of highly energetic pions in the reaction \bar pp->\pi^-\pi^+ 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 3P_0 and 3S_1 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.

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