The Valence Quark Distribution of the Pion
Abstract
The pion structure function is investigated in a simple model, where the pion and its 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, allows a connection with the quark distribution. It is predicted that higher-twist terms become negligible for Q^2 larger than ~2 GeV^2, that quarks in the pion have a momentum fraction smaller than in the proton case, and that the momentum sum rule is violated for the pion.
Keywords
Cite
@article{arxiv.hep-ph/0208173,
title = {The Valence Quark Distribution of the Pion},
author = {J. P. Lansberg and F. Bissey and J. R. Cudell and J. Cugnon and M. Jaminon and P. Stassart},
journal= {arXiv preprint arXiv:hep-ph/0208173},
year = {2007}
}
Comments
Presented by J. P. Lansberg at the XXII Physics in Collision Conference (PIC02), Stanford, California, June 20-22, 2002, 3 pages, 4 figures, LaTeX, uses pic02.sty (included)