Comparative Analysis of Transversities and Longitudinally Polarized Distributions of the Nucleon

TL;DR

This paper compares transversity and longitudinally polarized parton distributions in nucleons, emphasizing the importance of accurately determining the isoscalar tensor charge for understanding nucleon spin structure.

Contribution

It provides a comparative analysis incorporating recent empirical transversity data, highlighting the significance of the isoscalar tensor charge in nucleon spin studies.

Findings

Precise isoscalar tensor charge determination is crucial for nucleon spin structure.

Empirical transversity distributions have been integrated into the analysis.

The study underscores the role of tensor charge in clarifying nucleon internal spin dynamics.

Abstract

We carry out a comparative analysis of the transversities and the longitudinally polarized parton distribution functions in light of the first empirical extraction of the transversity distributions recently done by Anselmino et al. It is shown that the precise determination of the isoscalar tensor charge, which is defined as the 1st moment of the isoscalar combination of the transversity distributions, is of fundamental importance for clarifying the internal spin structure function of the nucleon.