Relativistic effects and angular dependence in the reaction antiproton-proton -> pi^- pi^+

Abstract

We present a new fit to the LEAR data on antiproton-proton -> pi^- pi^+ differential cross sections and analyzing powers motivated by relativistic considerations. Within a quark model describing this annihilation we argue, since the pions are highly energetic, that relativistic effects cannot be neglected. The intrinsic pion wave functions are Lorentz transformed to the center of mass frame. This change in quark geometry gives rise to additional angular dependence in the transition operators and results in a relative enhancement of higher J \ge 2 partial wave amplitudes. The fit to the data is improved significantly.

Revtex 4, 7 pages, 5 figures. Continuation and results of a previous paper: nucl-th/0403050

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Cited by in corpus (4)

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• Pseudoscalar mesons with symmetric bound state vertex functions on the light front
• Antiproton--proton annihilation into light neutral meson pairs within an effective meson theory
• Planar versus non-planar anti-NN annihilation into mesons in the light of anti-qq operators and the 1/Nc expansion