The statistical model for parton distributions

TL;DR

This paper presents a quantum-statistics-inspired statistical model for parton distributions that effectively describes unpolarized and polarized structure functions using a small set of parameters.

Contribution

It introduces a novel Fermi-Dirac based approach to model parton distributions, capturing flavor and spin asymmetries with minimal parameters.

Findings

Successfully describes experimental data on structure functions

Automatically accounts for flavor and spin asymmetries

Uses a small number of parameters for both polarized and unpolarized cases

Abstract

The phenomenological motivations, the expressions and the comparison with experiment of the parton distributions inspired by the quantum statistics are described. The Fermi-Dirac expressions for the quarks and their antiparticles automatically account for the correlation between the shape and the first moments of the valence partons, as well as the flavor and spin asymmetries of the sea. One is able to describe with a small number of parameters both unpolarized and polarized structure functions.