Gluon Spin in a Quark Model

Abstract
We compute the gluon polarization $\Delta G$ and the gluon total angular momentum $J_g$ in the Isgur-Karl quark model. Taking into account self-interaction contributions, we obtain for both quantities a positive value of about 0.24 at the model scale $\mu_0^2 \simeq 0.25$ GeV$^2$. This estimate is reasonably close to the expectation from polarized deep inelastic scattering analyses.

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