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The Spin Structure of the Nucleon in the Asymptotic Limit
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The Spin Structure of the Nucleon in the Asymptotic Limit
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In analogy to the Altarelli-Parisi equation for the quark and gluon helicity contributions to the nucleon spin, we derive an evolution equation for the quark and gluon orbital angular momenta. The solution of the combined equations yields the asymptotic fractions of the nucleon spin carried by quarks and gluons: $3n_f/(16+3n_f)$ and $16/(16+3n_f)$, respectively, where $n_f$ is the number of active quark flavors. These are identical to the well-known asymptotic partitions of the nucleon momentum between quark and gluon contributions. We show that the axial-anomaly contribution to the quark helicity is cancelled by a similar contribution to the quark orbital angular momentum, making the total quark contribution to the nucleon spin anomaly-free.
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Cited by 1 Pith paper
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Spin Structure of the Nucleon: Overview
A pedagogical review consolidates the proton spin decomposition into quark/gluon spin and orbital angular momentum, emphasizing gauge-invariant OAM definitions, small-x cancellations, and EIC observables.
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