Transverse Polarization of the Nucleon in Parton Picture
Xiangdong Ji, Xiaonu Xiong, Feng Yuan
TL;DR
This paper investigates the proton's transverse polarization structure using the Lorentz-covariant Pauli-Lubanski vector in QCD, revealing contributions from various partonic levels and a simple angular momentum sum rule.
Contribution
It introduces a comprehensive analysis of transverse polarization in the parton model, linking subleading contributions to the leading one via Lorentz symmetry and clarifying the angular momentum sum rule.
Findings
Identification of leading, subleading, and next-to-subleading contributions
Relation of subleading contributions to the leading via Lorentz symmetry
A simple partonic angular momentum sum rule
Abstract
The proton's transverse polarization structure is examined in terms of the Lorentz-covariant Pauli-Lubanski vector in QCD. We find that there are contributions from leading, subleading, and next-to-subleading partonic contributions in the light-front system of coordinates. The subleading and next-to-subleading contributions are related to the leading one through Lorentz symmetry. And the leading contribution obeys a simple partonic angular momentum sum rule that gives a clear physical interpretation to a relation known previously.
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