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


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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G. S. Anagnostatos, "Quantum Isomorphic Shell Model: Multi-Harmonic Shell Clustering of Nuclei," Journal of Modern Physics, Vol. 4 No. 5B, 2013, pp. 54-65. doi: 10.4236/jmp.2013.45B011.

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The authors declare no conflicts of interest.


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