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^π=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.NUCLEAR STRUCTURE ¹⁵N, ¹⁶O, ²⁰Ne; calculated energies, J, π, $B(E2)$ values, α widths, radii in cluster model with folded potential.