Proton image and momentum distributions from light-front dynamics

TL;DR

This paper develops a light-front quark model for the proton, using diquark interactions to compute wave functions and momentum distributions, providing insights into proton structure.

Contribution

It introduces a diquark-based light-front model to analyze proton wave functions and momentum distributions, advancing understanding of proton internal dynamics.

Findings

Computed the proton's electromagnetic form factor to fix model parameters.

Derived the proton's valence wave function and momentum distributions.

Analyzed the Ioffe-time image and double momentum distribution of the proton.

Abstract

We apply a dynamical three-constituent quark light-front model to study the proton. The dynamics is based on the notion of a diquark (bound or virtual) as the dominant interaction channel, which paramaterizes a contact interaction between the quarks in order to build the three-body Faddeev Bethe-Salpeter equations for the valence state, and we focus on the totally symmetric part of the wave function. The Dirac electromagnetic form factor is used to fix the model parameters, and the valence wave function is obtained. From that we investigate its Ioffe-time image, non-polarized longitudinal and transverse momentum distributions, and the double momentum distribution.