A wave function which is an admixture of the ($0s$) and ($1s$) states is found to account for the diffraction minimum of the form factor of elastic electron scattering by ${}_{}{}^4{}_{}{}^{}\mathrm{He}$. Brink's cluster model for ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ has been investigated by means of a convenient expansion procedure. The model is found to be substantially different from the classical $\alpha$-particle model and to account satisfactorily for the high-energy electron scattering data. Further, the connection between Brink's model and the shell model has been established.

NUCLEAR STRUCTURE ${}_{}{}^4{}_{}{}^{}\mathrm{He}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ model wave functions; comparison with electron scattering.

• Received 4 December 1974

DOI:https://doi.org/10.1103/PhysRevC.12.2050