Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization

TL;DR

This paper computes twist-3 generalized parton distributions for the proton's valence quarks using basis light-front quantization, providing theoretical predictions that align with experimental data.

Contribution

It introduces a novel calculation of twist-3 GPDs within the BLFQ framework, linking light-front wave functions to observable distributions.

Findings

Predicted twist-3 scalar PDFs agree with CLAS experimental data.

Calculated GPDs provide insights into proton structure.

Demonstrated the effectiveness of BLFQ in hadronic physics.

Abstract

We investigate the twist-3 generalized parton distributions (GPDs) for the valence quarks of the proton within the basis light-front quantization (BLFQ) framework. We first solve for the mass spectra and light-front waved functions (LFWFs) in the leading Fock sector using an effective Hamiltonian. Using the LFWFs we then calculate the twist-3 GPDs via the overlap representation. By taking the forward limit, we also get the twist-3 parton distribution functions (PDFs), and discuss their properties. Our prediction for the twist-3 scalar PDF agrees well with the CLAS experimental extractions.