# Nucleon Structure Functions from the NJL-Model Chiral Soliton

## TL;DR

This paper uses a chiral soliton model to numerically compute nucleon structure functions, successfully matching experimental data for polarized functions and highlighting the importance of vacuum contributions.

## Contribution

It introduces a self-consistent method to derive structure functions from quark fields within a chiral soliton, including a first-principles regularization of the Dirac sea.

## Key findings

- Polarized structure functions agree well with experimental data.
- Unpolarized structure functions show some discrepancies with experiments.
- Vacuum contributions to polarized functions are minimal.

## Abstract

We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from which the structure functions are extracted. Central to the project is the implementation of regularizing the Dirac sea (or vacuum) contribution to structure functions from first principles. We discuss in detail how sum rules are realized at the level of the quark wave-functions in momentum space. The comparison with experimental data is convincing for the polarized structure functions but exhibits some discrepancies in the unpolarized case. The vacuum contribution to the polarized structure functions is particularly small.