Our recent study of the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$${(}^{16}$O${,}^8$Be${)}^{20}$Ne and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$${(}^{16}$O,α${)}^{24}$Mg reactions has led to the identification of two superdeformed shape isomeric states in ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ at excitation energies of 43.7 and 46.2 MeV. We conjectured from this study that these resonances have structures which correspond to the secondary minimum with deformation parameters ε=1.35 and γ=60° according to Nilsson-Strutinsky calculations. We give arguments to show that this conjecture is more appropriate and consistent with the presently available evidence.

• Received 15 June 1993

DOI:https://doi.org/10.1103/PhysRevC.48.2120