Axial-vector form factor of nucleons in the isospin medium from the hard-wall AdS/QCD model

TL;DR

This paper investigates the axial-vector form factors of nucleons within a holographic QCD framework, considering isospin chemical potential effects and nucleon mass splitting, providing insights into nucleon structure under isospin medium conditions.

Contribution

It introduces a calculation of nucleon axial-vector form factors in the hard-wall AdS/QCD model accounting for isospin chemical potential and nucleon mass splitting, which is a novel approach.

Findings

Form factors are computed at the critical isospin chemical potential =m_{\u03c0}.

Results show how axial-vector form factors vary with isospin chemical potential.

The model captures nucleon behavior in isospin medium using holographic methods.

Abstract

We study the axial-vector form factor of the nucleons at constant and homogenous isospin chemical potential using holographic QCD. Nucleon mass splitting in such isospin medium is taken into account. According to AdS/CFT correspondence, the critical value of the isospin chemical potential \mu_I equals to UV- boundary value of the time component of the bulk gauge field. We calculate the axial-vector form factor of the proton and neutron in such background in the framework of the hard-wall model and plot the form factors for the isospin chemical potential critical value \mu_I=m_{\pi}.