Form Factors and Generalized Parton Distributions in Basis Light-Front Quantization

Abstract

We calculate the elastic form factors and the Generalized Parton Distributions (GPDs) for four low-lying bound states of a demonstration fermion-antifermion system, strong coupling positronium ($e\bar{e}$), using Basis Light-Front Quantization (BLFQ). Using this approach, we also calculate the impact-parameter dependent GPDs $q(x,{\vec{b}}_{\perp })$ to visualize the fermion density in the transverse plane (${\vec{b}}_{\perp }$). We compare selected results with corresponding quantities in the non-relativistic limit to reveal relativistic effects. Our results establish the foundation within BLFQ for investigating the form factors and the GPDs for hadronic systems.

Comments: 11 pages, 13 figures