The Geometry of the Isomorphic Model of the Closed-Shell Nuclei

The classical part of a new microscopic model of nuclear structure based on high spatial symmetry is proposed. The isomorphic model, as it is called, is a model of the closed-shell nuclei up to 208Pb at the ground state. In brief, it assumes stable dynamic equilibrium of nucleons on spherical shells, which results in shells having average shapes represented by high symmetry polyhedra derived from one another, whose vertices represent average nucleon positions. Properties successfully examined by application of this classical part alone are nuclear shells and magic numbers, nuclear radii, nuclear density, and ground-state moments of inertia of rotating nuclei based on a closed-shell approximation. Through the presentation of this new model, we wish above all to show that symmetry, used as the basis for a nuclear structure model, is highly successful, just as in other areas of physics and chemistry.