A Model for the Pion Structure Function

Details A Model for the Pion Structure Function A Model for the Pion Structure Function

2002-07-08

arxiv.org/abs/hep-ph/0207107v1

Phys.Lett. B547 (2002) 210-218

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 6 figures, LaTeX, elsart class

Scientific paper

10.1016/S0370-2693(02)02775-2

The pion structure function is investigated in a simple model, where pion and constituent quark fields are coupled through the simplest pseudoscalar coupling. The imaginary part of the forward gamma* pi-> gamma* pi scattering amplitude is evaluated and related to the structure functions. It is shown that the introduction of non-perturbative effects, linked to the size of the pion and preserving gauge invariance, allows a connection with the quark distribution. It is predicted that higher-twist terms become negligible for Q2 larger than about 2 GeV2 and that quarks in the pion have a momentum fraction smaller than in the proton case.

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