Elsevier

Physics Letters B

Volume 115, Issue 2, 26 August 1982, Pages 77-80
Physics Letters B

The geometric SO(3) × D model

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Abstract

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.

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