Abstract

The validity of the Wigner supermultiplet scheme in the d-s shell is investigated for nuclei with neutron excess using the spectral distribution methods of French. Averages of the Hamiltonian H and H 2 over states belonging to a definite SU(4) symmetry, isospin and spin are used to determine ground state energies and low lying spectra of nuclei. Intensities of various irreducible representations of SU(4) near the ground state are evaluated and these provide a measure of symmetry breaking. We find that the symmetry in nuclei with neutron excess is no worse than that for the lowest isospin ones. The results obtained are compared with the Franzini-Radicati mass formula.

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