Unveiling Skewness Dependence of Quark Wigner Distributions

TL;DR

This paper investigates how skewness affects quark Wigner distributions in a light-front dressed quark model, revealing distortions and patterns linked to spin-orbit correlations and quantum interference.

Contribution

It provides the first detailed analysis of nonzero skewness effects on quark Wigner distributions, highlighting new spatial and momentum correlation features.

Findings

Distortions in spatial and momentum correlations with increasing skewness

Emergence of dipole and quadrupole patterns in distributions

Identification of spin-orbit correlations and quantum interference effects

Abstract

We present a detailed investigation of the skewness dependence of quark Wigner distributions within the light-front dressed quark model. While previous studies have largely focused on the forward limit, we explore the impact of nonzero longitudinal momentum transfer (\(\xi \neq 0\)) on the full set of leading-twist quark Wigner distributions across various polarization configurations. We observe characteristic distortions in the spatial and momentum correlations with increasing skewness, including the emergence of dipole and quadrupole patterns, asymmetries, and localization effects. These features reflect spin-orbit correlations and quantum interference between light-front wave function components with differing orbital angular momentum.