TITLE:
Quantum Isomorphic Shell Model: Multi-Harmonic Shell Clustering of Nuclei
AUTHORS:
G. S. Anagnostatos
KEYWORDS:
Cluster Models; 40Ca, 48Ca, 54Fe, 90Zr, 108Sn, 114Te, 142Nd, 208Pb, Binding Energies; Coulomb Energies; Proton; Neutron; Mass Radii; Atomic Fermions
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.5B,
July
10,
2013
ABSTRACT: The present multi-harmonic shell clustering of a nucleus is a direct consequence of the fermionic nature of nucleons and their average sizes. The most probable form and the average size for each proton or neutron shell are here presented by a specific equilibrium polyhedron of definite size. All such polyhedral shells are closely packed leading to a shell clustering of a nucleus. A harmonic oscillator potential is employed for each shell. All magic and semi-magic numbers, g.s. single particle and total binding energies, proton, neutron and mass radii of 40Ca, 48Ca, 54Fe, 90Zr, 108Sn, 114Te, 142Nd, and 208Pb are very successfully predicted.