Six-dimensional light-front Wigner distributions of the proton

TL;DR

This paper explores six-dimensional quark Wigner distributions of the proton using a light-front quark spectator-diquark model, revealing detailed phase space structures and spin correlations that could inform future experimental observables.

Contribution

It introduces a comprehensive analysis of six-dimensional proton Wigner distributions in a light-front model, providing numerical results and new insights into proton structure.

Findings

Revealed complex structures of proton Wigner distributions.

Identified potential new observables for future experiments.

Provided numerical results for all leading-twist distributions.

Abstract

We investigate six-dimensional quark Wigner distributions of the proton in a light-front quark spectator-diquark model. Benefiting from the light-front boost-invariant longitudinal variable $\tilde{z}$, these light-front Wigner distributions provide complete information of parton distribution in the phase space and the correlation with spins. At the leading twist, one can define 16 independent distribution functions in according to different combinations of quark and proton polarizations. Numerical results of all these Wigner distributions are presented, unraveling rich structures of the proton, which may potentially provide new observables to be explored at future experiments.