A Model for the Pion Structure Function
High Energy Physics - Phenomenology
2009-11-07 v1
Abstract
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.
Cite
@article{arxiv.hep-ph/0207107,
title = {A Model for the Pion Structure Function},
author = {F. Bissey and J. R. Cudell and J. Cugnon and M. Jaminon and J. P. Lansberg and P. Stassart},
journal= {arXiv preprint arXiv:hep-ph/0207107},
year = {2009}
}
Comments
14 pages, 6 figures, LaTeX, elsart class