Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model

TL;DR

This paper explores the multidimensional quark distributions within the pion using light-front holographic models, revealing detailed internal structure through Wigner distributions and GTMDs for various polarization states.

Contribution

It introduces a novel calculation of pion Wigner distributions using light-front holographic wave functions, including the impact of skewness on phase-space distributions.

Findings

Transverse Wigner distributions in impact-parameter and momentum space are presented.

The role of skewness in longitudinal momentum transfer is analyzed.

Generalized transverse momentum dependent distributions are studied for different skewness values.

Abstract

We investigate the quark Wigner distributions of the pion to reveal the multidimensional picture of pion. We have used the spin improved wave functions of pion deduced from the light-front holographic model of mesons. By using the Fock-state overlap representation, the Wigner distributions of an unpolarized, longitudinally polarized and transversely polarized quark inside the pion are calculated. We have presented the results of transverse Wigner distributions in impact-parameter space as well as in momentum space. In order to understand the role of skewness which gives the longitudinal momentum transfer between the quarks, we study the six-dimensional phase-space distribution: the generalized transverse momentum dependent parton distributions of pion for the case of zero skewness as well as for nonzero value of skewness.