Proton Spin Structure from Measurable Parton Distributions

Abstract

We present a systematic study of the proton spin structure in terms of measurable parton distributions. For a transversely-polarizedproton, we derive a polarization sum rule from the leading generalized parton distributions appearing in hard exclusive processes. For a longitudinally-polarized proton, we obtain a helicity decomposition from well-known quark and gluon helicity distributions and orbital angular-momentum contributions. The latter is shown to be related to measurable subleading generalized parton distributions and quantum-phase space Wigner distributions.

7 pages, title changed

References in corpus (9)

• Quark Wigner Distributions and Orbital Angular Momentum
• 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
• Notes on the orbital angular momentum of quarks in the nucleon
• Exploring quark transverse momentum distributions with lattice QCD
• The quark orbital angular momentum from Wigner distributions and light-cone wave functions
• Gauge- and frame-independent decomposition of nucleon spin
• New relation between transverse angular momentum and generalized parton distributions
• Gluon Spin, Canonical Momentum, and Gauge Symmetry

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