Shell Model Analysis of Ξ^- Hypernuclei Spectra for Mass A = 12 and A = 16

The excitation spectra for (Ξ12-Be) and (Ξ16-C) are obtained in the frame of a shell model. The experimental values of the ground state binding energies of the Ξ^- hyperon in (Ξ12-Be) and (Ξ16-C) are used to determine the well depth of the Ξ^-- nucleus potential. The information on the residual interaction is emphasized. It is found that the residual interaction does not have much effect on the spectra of the Ξ^--hypernucleus.