  The importance of core contributions to the anapole moment in nuclei is
examined. A model of the core-polarization correction is presented. The model
is based on the coupling of the valence particles to the spin-dipole $J=1^{-}$
giant resonances of the core. A shell-model calculation of this correction is
presented. The single-particle moments are calculated with Woods-Saxon and
Skyrme Hartree Fock radial wave functions, and the general issues associated
with nuclear configuration mixing are discussed.
