The energy spectrum of the ${}_{}{}^{12}{}_{}{}^{}$C${+\mathrm{}}^{12}$C resonances is described with the interacting boson (quadrupole) model. The Hamiltonians corresponding to the three dynamical symmetries and to the general case of the model are used. The results are compared with the similar calculations within the nuclear vibron (dipole) model. Based on the present experimental data no choice can be made between the dipole and quadrupole descriptions, but in both cases the best fit is quite close to the dynamical symmetry corresponding to a soft vibrator.

• Received 25 November 1985

DOI:https://doi.org/10.1103/PhysRevC.33.1553