Model-independent form factor relations at large $N_c$

Details Model-independent form factor relations at large $N_c$ Model-independent form factor relations at large $N_c$

2012-01-25

arxiv.org/abs/1201.5389v2

Phys. Rev. C 85, 035205 (2012)

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1103/PhysRevC.85.035205

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.

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