Twist analysis of the nucleon spin in 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.

16 pages. v2: corrected numerical factors in eq.(3.7) and its ramifications, appendix removed. v3: improved presentation and discussion, version accepted for publication in JHEP

References in corpus (6)

• Generalized parton correlation functions for a spin-1/2 hadron
• Reply to the Comment on "Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited" [PRL 100:232002 (2008)]
• Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited
• Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
• Do gluons carry half of the nucleon momentum?
• Gluon Spin, Canonical Momentum, and Gauge Symmetry

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