An extended version of the $\alpha$-particle model which takes into account the internal motion of the nucleons is proposed for ${}_{}{}^8{}_{}{}^{}\mathrm{Be}$. A two-center harmonic-oscillator potential is assumed for the nucleons. It is found that such a potential is not realistic enough to yield agreement with experiment. It is suggested that a two-center potential of the Woods-Saxon type may be a better choice.

• Received 15 May 1973

DOI:https://doi.org/10.1103/PhysRevC.9.1