Chiral Quark Soliton Model and Nucleon Spin Structure Functions

TL;DR

The chiral quark soliton model (CQSM) offers a nonperturbative framework rooted in low-energy QCD principles, effectively describing the nucleon's internal spin structure and parton distribution functions by incorporating chiral symmetry and vacuum polarization effects.

Contribution

This paper demonstrates that the CQSM uniquely captures nonperturbative features of nucleon spin structure functions, advancing understanding of baryon internal dynamics.

Findings

CQSM accurately predicts nucleon spin structure functions.

Vacuum polarization effects significantly influence parton distributions.

The model provides insights into nonperturbative QCD phenomena.

Abstract

The chiral quark soliton model (CQSM) is one of the most successful models of baryons at quark level, which maximally incorporates the most important feature of low energy QCD, i.e. the chiral symmetry and its spontaneous breakdown. Basically, it is a relativistic mean-field theory with full account of infinitely many Dirac-sea quarks in a rotational-symmetry-breaking mean field of hedgehog shape. The numerical technique established so far enables us to make a nonperturbative evaluation of Casimir effects (i.e. effects of vacuum-polarized Dirac sea) on a variety of baryon observables. This incompatible feature of the model manifests most clearly in its predictions for parton distribution functions of the nucleon. In this talk, after briefly reviewing several basic features of the CQSM, we plan to demonstrate in various ways that this unique model of baryons provides us with an ideal tool for disentangling nonperturbative aspect of the internal partonic structure of the nucleon, especially the underlying spin structure function of the nucleon.