Simple potential model for cluster states in light nuclei

We present a simple model for three- and four-particle cluster states in light nuclei. These states are considered as bound states and single-particle resonances of a cluster-core potential, which is obtained by folding the cluster and core mass densities. We calculate some properties of these states in 16O and 20Ne, such as the rms radii, B (E2) values, α-decay widths, and energy spectra. Good agreement with available data is obtained, and some predictions are made for B (E2) values in the K/sup pi/ = 0- bands in 16O and 20Ne. This model is also used to interpret recent heavy-ion three particle-transfer data. Dynamical support is offered for high spin assignments in 15N and 15O previously based on kinematical considerations