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Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule

arXiv:hep-ph/9308263 · doi:10.1016/0370-2693(94)91035-9

Abstract

We study the $Q^2$ variation of the first moment of the nucleon's spin-dependent structure function $G_1$. As $Q^2 \rightarrow 0$ the moment is determined by the low energy theorem for Compton scattering. In the deep-inelastic region the moment is calculated using twist expansion to order $1/Q^2$. Based on these limits, we construct a formula which smoothly interpolates between the two regions.

(revised), 8 pages in REVTEX, 1 figure, MIT-CTP-2232