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 (eeˉ), using Basis Light-Front Quantization (BLFQ). Using this approach, we also calculate the impact-parameter dependent GPDs q(x,b⊥) to visualize the fermion density in the transverse plane (b⊥). 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.
@article{arxiv.1602.06027,
title = {Form Factors and Generalized Parton Distributions in Basis Light-Front Quantization},
author = {Lekha Adhikari and Yang Li and Xingbo Zhao and Pieter Maris and James P. Vary and Alaa Abd El-Hady},
journal= {arXiv preprint arXiv:1602.06027},
year = {2016}
}