The large-N(c) nuclear potential puzzle
Abstract
An analysis of the baryon-baryon potential from the point of view of large-N(c) QCD is performed. A comparison is made between the N(c)-scaling behavior directly obtained from an analysis at the quark-gluon level to the N(c)-scaling of the potential for a generic hadronic field theory in which it arises via meson exchanges and for which the parameters of the theory are given by their canonical large-N(c) scaling behavior. The purpose of this comparison is to use large-N(c) consistency to test the widespread view that the interaction between nuclei arises from QCD through the exchange of mesons. Although at the one- and two-meson exchange level the scaling rules for the potential derived from the hadronic theory matches the quark-gluon level prediction, at the three- and higher-meson exchange level a generic hadronic theory yields a potential which scales with N(c) faster than that of the quark-gluon theory.
Cite
@article{arxiv.hep-ph/0202153,
title = {The large-N(c) nuclear potential puzzle},
author = {A. V. Belitsky and T. D. Cohen},
journal= {arXiv preprint arXiv:hep-ph/0202153},
year = {2009}
}
Comments
17 pages, LaTeX, 5 figures