Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei

TL;DR

This paper extracts polarized nucleon and nuclear structure functions using NLO QCD and the Jacobi polynomial method, providing detailed spin structure insights and comparing with existing analyses.

Contribution

It introduces a numerical approach using Jacobi polynomials for polarized structure function extraction at NLO, extending analysis to nuclear targets and sum rules.

Findings

Polarized PDFs and structure functions are successfully extracted from experimental data.

Results are consistent with existing literature and provide new insights into nuclear spin structure.

The Jacobi polynomial method proves efficient for DGLAP evolution in polarized DIS analysis.

Abstract

We extract parton distribution functions (PDFs) and structure functions from recent experimental data of polarized lepton-DIS on nucleons at next-to-leading order (NLO) Quantum Chromodynamics. We apply the Jacobi polynomial method to the DGLAP evolution as this is numerically efficient. Having determined the polarized proton and neutron spin structure, we extend this analysis to describe 3He and 3H polarized structure functions, as well as various sum rules. We compare our results with other analyses from the literature.