  Using the framework of QCD sum rules we predict the twist-3 contribution to
the second moment of the polarized nucleon structure function $g_2(x)$. As the
relevant local operator depends explicitely on the gluon field, we employ a
recently studied interpolating nucleon current which contains three quark field
and one gluon field operator. Despite the fact that our calculation is based on
the analysis of a completely different correlation function, our estimates are
consitent with those of Balitsky, Braun and Kolesnichenko who used a
three-quark current.
