Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-08-07
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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