Symplectic symmetry in the f p shell

The theory of spectral distributions is employed to provide important information about symmetries embedded in the GXPF1 and Strasbourg effective realistic interactions for many-fermion nuclei of the fpg shell. This in turn reveals the ability of the interactions to account for many-particle effects such as the formation of correlated nucleon pairs and enhanced quadrupole collective excitations. Furthermore, the realistic interactions are in general found to correlate strongly with a pairing+quadrupole model interaction, especially for the highest possible isospin group of states where the model interaction can be used to provide a reasonable description of the corresponding energy spectra.(authors)