Speaker
Description
We present our extensive investigation into the internal structure of hadrons, particularly pseudo-scalar mesons, utilizing a unified algebraic model based on Schwinger-Dyson equations (SDEs). We showcase calculations of various non-perturbative objects, including electromagnetic (EFFs), transition form factors (TFFs), parton distribution functions (PDFs), generalized parton distributions (GPDs), and impact parameter space GPDs, which guide our future research directions in JLab. For this endeavor, we employed two approaches: the overlap approximation in the light front formalism and the impulse approximation. The overlap approximation offers insights into the 3D image of mesons through GPDs, leading to the derivation of PDFs, EFFs, and impact parameter space GPDs. Concurrently, the impulse approximation simplifies the construction of EFFs and TFFs.
This study enhances our understanding of the algebraic model's capabilities and limitations regarding pseudo-scalar mesons. It also underscores the importance of focusing on more realistic techniques for future investigations.
