Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-10-16
Phys.Rev.Lett. 76 (1996) 740-743
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages in REVTEX
Scientific paper
10.1103/PhysRevLett.76.740
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.
Hoodbhoy Pervez
Ji Xiangdong
Tang Jie
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