Large-distance properties of holographic baryons

TL;DR

This paper demonstrates that holographic baryons exhibit universal large-distance form factor behavior consistent with chiral models, emphasizing the importance of nonlinear equations of motion for accurate low-energy current structures.

Contribution

It establishes the large-distance properties of holographic baryons across various backgrounds and highlights the necessity of nonlinear equations for correct physical descriptions.

Findings

Baryon form factors have universal large-distance behavior.

Nonlinear equations are essential for accurate low-energy currents.

Linearized solutions are insufficient for baryonic soliton descriptions.

Abstract

Employing the asymptotic instanton solution in an arbitrary background of a set of holographic QCD models, we show that baryon form factors have a precise large-distance behaviour regardless of the background. The dependence coincides with that obtained from general chiral soliton models and large-$N_C$ chiral perturbation theory. The nonlinear terms in the equations of motion are necessary to recover the correct results. We also show that the holographic currents have the right structure at low energy if the solutions of the full equation of motion, instead of the linearized ones, are used. The indication is that in this holographic approach, the linearized approximation used in the meson sector is not appropriate for the solitonic description of the baryons.