The excitation spectra for ((Xi)-Be-12) and ((Xi)-C-16) are obtained in the
frame of a shell model. The experimental values of the ground state bindin
g energies of the Xi(-) hyperon in ((Xi)-Be-12) and ((Xi)-C-16) are used to
determine the well depth of the Xi(-)-nucleus potential. The information o
n the residual interaction is emphasized. It is found that the residual int
eraction does not have much effect on the spectra of the Xi(-)-hypernucleus
.