ALGEBRAIC C-12+C-12 CLUSTER MODEL OF THE MG-24 NUCLEUS

A semimicroscopic algebraic C-12+C-12 cluster model is applied to describe the structure of the Mg-24 nucleus. The spectrum of the T = 0 states is analyzed in terms of this configuration with C-12 clusters allowed to occupy their 0+(0.0 MeV), 2+(4.439 MeV), and 4+(14.083 MeV) states. About a hundred experimental levels below E(x) congruent-to 16 MeV are assigned to model bands. A large number of observed reduced E2 transition probabilities are reproduced fairly well indicating the approximate realization of SU(3) dynamical symmetry. The spectrum of molecular resonances is also described reasonably well. E2 transitions within this region are found to be significantly weaker than what has been predicted by other models.