Unpolarized and polarized quark distributions in the large-Nc limit
Abstract
The isosinglet unpolarized and isovector polarized twist-2 quark distributions of the nucleon at low normalization point are calculated in the large-Nc limit. The nucleon is described as a soliton of the effective chiral theory. We derive the expressions for the distribution functions in the large-Nc limit starting from their definition as numbers of partons carrying momentum fraction x in the infinite momentum frame. We develop a numerical method for computation of the quark and antiquark distributions as sums over the quark single-particle levels in the pion field of the soliton. The contributions of the discrete bound-state level as well as the Dirac continuum are taken into account. The quark- and antiquark distributions obtained explicitly satisfy all general requirements. Results are in reasonable agreement with parametrizations of the data at low normalization point.
Keywords
Cite
@article{arxiv.hep-ph/9703420,
title = {Unpolarized and polarized quark distributions in the large-Nc limit},
author = {D. I. Diakonov and V. Yu. Petrov and P. V. Pobylitsa and M. V. Polyakov and C. Weiss},
journal= {arXiv preprint arXiv:hep-ph/9703420},
year = {2009}
}
Comments
32 p., LaTeX, 6 figures included using epsf