Simple potential model for cluster states in light nuclei

Abstract

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 $^{16}\mathrm{O}$ and $^{20}\mathrm{Ne}$, such as the rms radii, $B(E2)$ values, $\ensuremath{\alpha}$-decay widths, and energy spectra. Good agreement with available data is obtained and some predictions are made for $B(E2)$ values in the ${K}^{\ensuremath{\pi}}={0}^{\ensuremath{-}}$ bands in $^{16}\mathrm{O}$ and $^{20}\mathrm{Ne}$. This model is also used to interpret recent heavy ion three particle transfer data. Dynamical support is offered for high spin assignments in $^{15}\mathrm{N}$ and $^{15}\mathrm{O}$ previously based on kinematical considerations.NUCLEAR STRUCTURE $^{15}\mathrm{N}$, $^{16}\mathrm{O}$, $^{20}\mathrm{Ne}$; calculated energies, $J$, $\ensuremath{\pi}$, $B(E2)$ values, $\ensuremath{\alpha}$ widths, radii in cluster model with folded potential.