Isovector helicity quark quasi-distributions inside a large Nc nucleon

TL;DR

This paper investigates the isovector polarized quark quasi-distributions in a large Nc nucleon using the chiral quark-soliton model, demonstrating their convergence to light-cone PDFs at high nucleon boost momentum.

Contribution

It provides the first calculation of polarized isovector quasi-distributions within the chiral quark-soliton model and analyzes their convergence properties.

Findings

Good convergence of polarized quasi-distributions to light-cone PDFs at high boost

Comparison shows polarized distributions converge better than unpolarized ones

Supports the use of quasi-distributions in extracting polarized PDFs from lattice QCD

Abstract

In this letter, we report the results for the isovector polarized quark quasi-distribution functions $\Delta u(x,v) - \Delta d(x,v)$ in the large $N_c$, calculated within the chiral quark-soliton model. It is shown that the polarized quark quasi-distributions present good convergence to the light-cone PDFs in the limit of the nucleon boost momentum $P_N \to \infty$ (or the velocity $v \to 1$), compared to the case of the unpolarized isosinglet distributions.