1201.5389 (Thomas D. Cohen et al.)

Model-independent form factor relations at large $N_c$    [PDF]

Thomas D. Cohen, Vojtěch Krejčiřík

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 $N_c$ 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 $N_c$ chiral perturbation theory which is known to capture the long
distance behavior of the form factors. The relation is valid when the large
$N_c$ 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 $N_c$
limit.

View original: http://arxiv.org/abs/1201.5389