Six-dimensional light-front Wigner distribution of hadrons

TL;DR

This paper introduces a six-dimensional light-front Wigner distribution that provides a comprehensive relativistic description of hadron partonic structures, incorporating new correlations involving longitudinal and transverse degrees of freedom.

Contribution

It presents a novel six-dimensional light-front Wigner distribution that extends previous five-dimensional models and includes new correlations with spin and spatial variables.

Findings

Provides a complete relativistic framework for hadron structure

Includes new correlations between longitudinal and transverse variables

Extends existing five-dimensional light-front Wigner distributions

Abstract

We propose a six-dimensional light-front Wigner distribution for the complete description of partonic structures of a hadron such as pion and proton, taking advantage of the recently proposed light-front variable $\tilde{z}$ by Miller and Brodsky. Quantities derived from the Wigner distribution contain the most general information of partonic structures, including also new quantities correlating longitudinal coordinate with transverse momenta or transverse coordinates, together with spins. The new Wigner distribution can be viewed as a relativistic version of the original Wigner distribution in hadron physics and an extension of widely utilized five-dimensional light-front Wigner distribution.