Deciphering twist-3 chiral-even GPDs in the light-front quark-diquark model

We investigate quantum chromodynamics (QCD) in this study by computing chiral-even generalized parton distributions (GPDs) at twist-3 in the framework of the light-front quark-diquark model, particularly in the zero skewness scenario. We provide a detailed examination of twist-3 chiral-even GPDs, illustrating their behavior through extensive two-dimensional (2-D) and three-dimensional (3-D) visualizations, which demonstrate their dependence on the longitudinal momentum fraction (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>x</a:mi></a:math>) and the momentum transfer (<c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>t</c:mi></c:math>). Our investigation also reveals the intricate relationships between these GPDs and other distribution functions such as generalized transverse-momentum dependent distributions, transverse momentum-dependent parton distributions, and parton distribution functions (PDFs). Our study also includes the connected form factors at this twist, which are crucial in understanding the internal structure of hadrons. Additionally, we provide impact parameter-dependent PDF plots to offer insights into the spatial distribution of partons. Published by the American Physical Society 2024