The role of orbital angular momentum in the proton spin

Details The role of orbital angular momentum in the proton spin The role of orbital angular momentum in the proton spin

2009-08-07

arxiv.org/abs/0908.0972v2

Eur.Phys.J.A44:297-303,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 3 figures, 1 table A slightly extended version to appear in Eur. Phys. J. A

Scientific paper

10.1140/epja/i2010-10954-6

The orbital angular momenta $L^u$ and $L^d$ of up and down quarks in the proton are estimated as functions of the energy scale as model-independently as possible, on the basis of Ji's angular momentum sum rule. This analysis indicates that $L^u - L^d$ is large and negative even at low energy scale of nonperturbative QCD, in contrast to Thomas' similar analysis based on the refined cloudy bag model. We pursuit the origin of this apparent discrepancy and suggest that it may have a connection with the fundamental question of how to define quark orbital angular momenta in QCD.

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