Large N_c, Constituent Quarks, and N, Delta Charge Radii
High Energy Physics - Phenomenology
2008-11-26 v2 Nuclear Theory
Abstract
We show how one may define baryon constituent quarks in a rigorous manner, given physical assumptions that hold in the large-N_c limit of QCD. This constituent picture gives rise to an operator expansion that has been used to study large-N_c baryon observables; here we apply it to the case of charge radii of the N and Delta states, using minimal dynamical assumptions. For example, one finds the relation r_p^2 - r_{Delta^+}^2 = r_n^2 - r_{Delta^0}^2 to be broken only by three-body, O(1/N_c^2) effects for any N_c.
Cite
@article{arxiv.hep-ph/0003167,
title = {Large N_c, Constituent Quarks, and N, Delta Charge Radii},
author = {Alfons J. Buchmann and Richard F. Lebed},
journal= {arXiv preprint arXiv:hep-ph/0003167},
year = {2008}
}
Comments
15 pages, 1 eps figure. Version to appear in Phys. Rev. D