Pion Structure Function in the Nambu and Jona-Lasinio model
High Energy Physics - Phenomenology
2014-11-17 v1
Abstract
The pion structure function is studied in the Nambu and Jona-Lasinio (NJL) model. We calculate the forward scattering amplitude of a virtual photon from a pion target in the Bjorken limit, and obtain valence quark distributions of the pion at the low energy hadronic scale, where the NJL model is supposed to work. The calculated distribution functions are evolved to the experimental momentum scale using the Altarelli-Parisi equation. The resulting distributions are in a reasonable agreement with experiment. We calculate also the kaon structure function and compare the ratio of kaon to pion valence u-quark distributions with experiment.
Cite
@article{arxiv.hep-ph/9402286,
title = {Pion Structure Function in the Nambu and Jona-Lasinio model},
author = {T. Shigetani and K. Suzuki and H. Toki},
journal= {arXiv preprint arXiv:hep-ph/9402286},
year = {2014}
}
Comments
15 pages with 5 figures as uuencoded postscript files, TMU-NT-930301 (plain LaTeX)