Wigner distributions and orbital angular momentum of a proton

TL;DR

This paper calculates Wigner distributions for u and d quarks in a proton using a light front wave function model derived from AdS/QCD, revealing detailed insights into quark orbital angular momentum and spin correlations.

Contribution

It introduces a novel calculation of Wigner distributions for quarks in a proton using the scalar quark-diquark model from AdS/QCD, providing detailed spatial and momentum distributions.

Findings

Quark density distributions in momentum and impact parameter space are presented.

Orbital angular momentum and spin correlations are analyzed in detail.

Differences between u and d quark distributions are highlighted.

Abstract

The Wigner distributions for u and d quarks in a proton are calculated using the light front wave functions (LFWFs) of the scalar quark-diquark model for nucleon constructed from the soft-wall AdS/QCD correspondence. We present a detail study of the quark orbital angular momentum(OAM) and its correlation with quark spin and proton spin. The quark density distributions, considering the different polarizations of quarks and proton, in transverse momentum plane as well as in transverse impact parameter plane are presented for both u and d quarks.