Effect of orbital angular momentum on valence-quark helicity distributions

Phys Rev Lett. 2007 Aug 24;99(8):082001. doi: 10.1103/PhysRevLett.99.082001. Epub 2007 Aug 20.

Abstract

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. 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-->1. Our analysis shows that the ratio of the polarized over unpolarized down quark distributions, Deltad/d, will still approach 1 in this limit. By comparing with the experimental data, we find that this ratio should cross zero at x approximately 0.75.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.