Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model

TL;DR

This paper develops a holographic QCD model to analytically compute the pion form factor and charge density distribution in the chiral limit, relating these to fundamental QCD parameters and comparing with experimental data.

Contribution

It introduces a formalism with conjugate pion wave functions within the hard-wall AdS/QCD model, providing analytic expressions for the pion form factor and related observables.

Findings

Analytic expressions for pion form factor and wave functions.

Relation of pion observables to chiral condensate and cutoff scale.

Comparison of model predictions with experimental data.

Abstract

We develop a formalism to calculate form factor and charge density distribution of pion in the chiral limit using the holographic dual model of QCD with hard-wall cutoff. We introduce two conjugate pion wave functions and present analytic expressions for these functions and for the pion form factor. They allow to relate such observables as the pion decay constant and the pion charge electric radius to the values of chiral condensate and hard-wall cutoff scale. The evolution of the pion form factor to large values of the momentum transfer is discussed, and results are compared to existing experimental data.