A supersymmetry scheme for nuclei, where neutron and proton bosons are distinguished, is presented. The single j for this scheme is assumed to be (3/2) and therefore the resulting supergroup is U(12/4). The dynamical supersymmetry investigated is the Spin(6) chain. This scheme is a direct generalization of the U(6/4) supersymmetry scheme previously proposed by Iachello and co-workers. Comparisons of the energies between the theory and experiment seem to suggest that such a supersymmetry U(12/4) may be found in certain regions in nuclei.

• Received 29 April 1985

DOI:https://doi.org/10.1103/PhysRevC.32.2087