Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions

Details Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions

2007-05-10

arxiv.org/abs/0705.1553v2

Phys.Rev.Lett.99:082001,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 eps figures

Scientific paper

10.1103/PhysRevLett.99.082001

We study the quark helicity distributions at large x in perturbative QCD, taking into account contributions from the valence Fock states of the nucleon which have nonzero orbital angular momentum. These states are necessary to have a nonzero anomalous magnetic moment. We find that the quark orbital angular momentum contributes a large logarithm to the negative helicity quark distributions in addition to its power behavior, scaling as (1-x)^5\log^2(1-x) in the limit of x\to 1. Our analysis shows that the ratio of the polarized over unpolarized down quark distributions, \Delta d/d, will still approach 1 in this limit. By comparing with the experimental data, we find that this ratio should cross zero at x\approx 0.75.

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