Shell-Model Description of the Low-Energy Structure of Strongly Deformed Nuclei

An effective fermion interaction of maximum particle rank four, comprised of operators which form the integrity basis of an SU(3)→R(3) algebra, has been found sufficient to reproduce almost exactly, within a single leading irreducible representation of pseudo SU(3), the ground- and gamma-band rotational structure as well as the concomitant interband and intraband $B\left(E2\mathrm{}\right)\mathrm{}$ strengths of states in the strongly deformed nuclei. Results are given for ${}_{}{}^{164}{}_{}{}^{}\mathrm{Er}$.