Generalized Parton Distributions of Pion for Non-Zero Skewness in AdS/QCD

TL;DR

This paper calculates the generalized parton distributions (GPDs) of the pion with non-zero skewness using AdS/QCD inspired light-front wave functions, revealing detailed internal structure including charge density and form factors.

Contribution

It introduces a novel calculation of pion GPDs for non-zero skewness based on AdS/QCD light-front wave functions, extending previous models to include impact-parameter and longitudinal space distributions.

Findings

Calculated pion GPDs for non-zero skewness.

Derived impact-parameter dependent PDFs and form factors.

Analyzed pion's charge density and transverse momentum distribution.

Abstract

We study the generalized parton distributions (GPDs) of pion for non-zero skewness by considering the leading $| q \bar{q} \rangle$ Fock state component. Inspired from AdS/QCD light-front wave functions, we calculate the pion GPDs. By taking the Fourier transforms we obtain the results for impact-parameter dependent parton distribution functions (ipdpdf) and for GPDs in longitudinal boost-invariant space. We also calculate the charge density and gravitational form factor of the pion. The pion unpolarized transverse momentum distribution (TMD) have also been calculated. The results provide rich information on the internal structure of pion.