The geometric SO(3) × D model

The geometric SO(3) × D model is formulated as a computationally viable submodel of the algebraic sp(3, R) model containing the Sp (1, R) model of Arickx et al. as a submodel. It is basically a scheme for constructing a space of states (like the space of Slater determinants) which can be employed either directly, for constrained variational quantal dynamics of the Hartree-Fock, RPA and TDHF type, or to construct a shell-model basis for the diagonalization of a microscopic hamiltonian. The results of HF calculations, restricted to SO(3) × D surfaces, are reported for the nuclei ⁴He, ⁸Be, ¹⁶O and ²⁰Ne.