Abstract

There are nonperturbative quantum chromodynamic (QCD) corrections to the Bjorken and Gross-Llewellyn-Smith sum rules coming from the nonsinglet and singlet nucleon matrix elements, respectively, of the two-quark, one-gluon operators, which appear in the operator product expansion of the bilocal product of the charged weak currents. These twist-four, spin-one QCD corrections can be calculated assuming some quark confinement model to evaluate the nucleon matrix elements. We have considered several plausible models and have found the resulting corrections to be quite model. dependent. However in all of the models these nonperturbative QCD corrections are rather small compared to the usual perturbative QCD corrections calculated in leading-log approximation.

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