The SU(3) dynamical symmetries of the vibron and the nuclear vibron models have been applied to the ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ nuclei, respectively. Well established cluster bands with core-plus-alpha-particle structure and high-lying states populated as resonances in alpha scattering have been considered. Many resonances fit to the classification schemes of the energy spectra which have parameters largely determined by the well-known cluster bands. A procedure is proposed to take the Pauli principle into account, at an approximate level, when these models are applied to nuclei.

• Received 19 November 1987

DOI:https://doi.org/10.1103/PhysRevC.38.972