arXiv:hep-ph/0105173·v1·High Energy Physics — Phenomenology
Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
Nam-Young Lee (1)🇩🇪 · K. Goeke (1)🇩🇪 · C. Weiss (2) ((1)Ruhr U.,Bochum, (2)Regensburg U.)🇩🇪
Abstract
We estimate the twist-4 spin-1 nucleon matrix element f_2 in an instanton-based description of the QCD vacuum. In addition to the flavor-nonsinglet we compute also the flavor-singlet matrix element, which appears in next-to-leading order of the (1/N_c)-expansion. The corresponding twist-3 spin-2 matrix elements d_2 are suppressed in the packing fraction of the instanton medium, (\bar \rho)/(\bar R) << 1. We use our results to estimate the leading (1/Q^2) power corrections to the first moment of the proton and neutron spin structure functions G_1, as well as the intrinsic charm contribution to the nucleon spin.
Comments: 17 pages, 4 eps figures included