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Journal of Modern Physics 2013

Quantum Isomorphic Shell Model: Multi-Harmonic Shell Clustering of Nuclei

DOI: 10.4236/jmp.2013.45B011, PP. 54-65

G. S. Anagnostatos

Keywords: Cluster Models, ⁴⁰Ca, ⁴⁸Ca, ⁵⁴Fe, ⁹⁰Zr, ¹⁰⁸Sn, ¹¹⁴Te, ¹⁴²Nd, ²⁰⁸Pb, Binding Energies, Coulomb Energies, Proton, Neutron, Mass Radii, Atomic Fermions

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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.

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