Nucleon parton distributions in a light-front quark model

TL;DR

This paper extends a light-front quark model to analytically match nucleon parton distributions at 1 GeV, including helicity-dependent and transverse distributions, with implications for ongoing experimental programs.

Contribution

The authors develop an extended light-front quark model that accurately reproduces both helicity-independent and dependent parton distributions, incorporating QCD evolution and calculating various distributions from a unified framework.

Findings

Model matches global fit results at initial scale

Calculates transverse, Wigner, and Husimi distributions from wave functions

Results are relevant for COMPASS experiment analyses

Abstract

Continuing with our analysis of parton distributions in the nucleon, we extend our light-front quark model in order to obtain both the helicity independent and helicity dependent parton distributions, analytically matching the results of global fits at the initial scale $\mu \sim 1$ GeV, and which also contain the correct Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution. We also calculate the transverse parton, Wigner and Husimi distributions from a unified point of view, using our light-front wave functions and expressing them in terms of the parton distributions $q_v(x)$ and $\delta q_v(x)$. Our results are very relevant for the current and future program of the COMPASS experiment at SPS (CERN).