Non-Singlet spin structure function in the valon model and low x scaling behavior of $g_{1}^{NS}$ and $g_1^p$

TL;DR

This paper presents a next-to-leading order QCD calculation of the non-singlet spin structure function within the valon model, showing good agreement with experimental data and revealing small x scaling behavior.

Contribution

It introduces a valon model-based NLO QCD calculation of $g_{1}^{NS}$ and demonstrates its consistency with experimental data and small x scaling properties.

Findings

Good agreement with SMC, E143, HERMES, and COMPASS data.

Small x tail of $g_{1}^{NS}$ described by a Regge-type exchange.

Proton structure function exhibits scaling at small x.

Abstract

A next-to-leading order QCD calculation of non-singlet spin structure function, $g_{1}^{NS} $ is presented within the valon representation of Hadrons. In the valon model, it is assumed that a nucleon is composed of three dressed valence quarks: the valons which have their own internal structure, the valence quark with its associated sea quarks and gluons. The results are in good agreement with all available data from SMC, E143, HERMES and with the newly released data from COMPASS experiments. It appears that the small x tail of $g_{1}^{NS}$ can be described by a single Regge-type exchange. The relevant parameter of this exchange is given. Finally we show that the polarized proton structure function has a scaling behavior at small x. The relevant parameters of this behavior are given too.