Meson dominance of hadron form factors and large-Nc phenomenology

TL;DR

This paper investigates meson dominance in hadron form factors using large-Nc QCD, estimating uncertainties with a half-width rule, and compares theoretical predictions with experimental and lattice data.

Contribution

It applies the large-Nc approach to hadron form factors, incorporating meson dominance and high-energy QCD constraints, with a novel uncertainty estimation method.

Findings

Form factors agree with experimental data within estimated uncertainties.

Uncertainties are comparable to experimental errors and smaller than lattice errors.

The approach provides a consistent large-Nc phenomenology for hadron form factors.

Abstract

We discuss the pion and nucleon form factors and generalized form factors within the large-Nc approach in the space-like region. We estimate their theoretical uncertainties through the use of the half-width rule, amounting to taking the half-width of the resonances as the deviation of their mass parameters. The approach embodies the meson dominance of form factors and the high-energy constraints from perturbative QCD. We compare the results with the available experimental data and lattice simulations. The meson-dominance form factors are generally comparable to the available experimental data within the half-width-rule uncertainties. Our errors are comparable to the experimental uncertainties, but are smaller than lattice errors.