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The effects of ground-state correlations on the damping of isovector giantdipole resonances in $LS$ closed shell nuclei $^{16}$O and $^{40}$Ca arestudied using extended random-phase-approximation (RPA) approaches derived fromthe time-dependent density-matrix theory. It is pointed out that unconventionaltwo-body amplitudes of one particle--three hole and three particle--one holetypes which are neglected in most extended RPA theories play an important rolein the fragmentation of isovector dipole strength.

Effects of ground-state correlations on damping of giant dipole resonaces in $LS$ closed shell nuclei