Twist analysis of the nucleon spin in QCD
Yoshitaka Hatta, Shinsuke Yoshida
TL;DR
This paper explores the detailed decomposition of nucleon spin into quark and gluon components using twist-two and twist-three generalized parton distributions (GPDs), confirming consistency with QCD principles.
Contribution
It derives exact relations between twist-three GPDs and the canonical orbital angular momentum densities of quarks and gluons, advancing the understanding of nucleon spin structure.
Findings
Derived relations between twist-three GPDs and orbital angular momentum.
Confirmed the consistency of the spin decomposition with the spin sum rule.
Demonstrated the fit of the complete spin decomposition within perturbative QCD.
Abstract
The decomposition of the nucleon spin into that of quarks and gluons is related to twist-two GPDs according to Ji sum rule. Further decomposition into the helicity and the orbital angular momentum inevitably requires twist-three GPDs. In this paper we derive exact relations between twist-three GPDs and the canonical orbital angular momentum density of quarks and gluons, and check their consistency with the spin sum rule. Our work demonstrates that the complete decomposition of the nucleon spin fits well with the framework of perturbative QCD.
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