Abstract
Shell-model core excitations based on the Sp(6, R) model are compared with those derived from α-cluster models. Overlaps between the first symplectic excitations (essentially giant E2 excitations) and α-cluster states of the same SU(3) symmetry are used to estimate the α-breakup probabilities of giant E2 resonances in 16O, 20Ne, 24Mg and 28Si. Although these probabilities are large, α-cluster and Sp(6, R) core excitations are essentially complementary and may both be needed for a meaningful microscopic description of A = 16–40 nuclei.
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