Model-independent form factor relations at large $N_c$
High Energy Physics - Phenomenology
2012-04-11 v2 High Energy Physics - Theory
Nuclear Theory
Abstract
In this paper a model-independent relation which holds for the long distance part of the Fourier transform of the electromagnetic form factors of the nucleon in the large and chiral limits is demonstrated. This relation was previously conjectured based on the fact that it emerged in {\it all} semiclassical chiral models independent of the details of the model. Here we show that the result is, in fact, model independent by deriving it directly in large chiral perturbation theory which is known to capture the long distance behavior of the form factors. The relation is valid when the large limit is formally taken before the chiral limit. A new relation is derived for the case where the chiral limit is taken prior to the large limit.
Cite
@article{arxiv.1201.5389,
title = {Model-independent form factor relations at large $N_c$},
author = {Thomas D. Cohen and Vojtěch Krejčiřík},
journal= {arXiv preprint arXiv:1201.5389},
year = {2012}
}