%0 Journal Article
%T Quantum Isomorphic Shell Model: Multi-Harmonic  Shell Clustering of Nuclei
%A G. S. Anagnostatos
%J Journal of Modern Physics
%P 54-65
%@ 2153-120X
%D 2013
%I Scientific Research Publishing
%R 10.4236/jmp.2013.45B011
%X <span>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 </span><span>are</span><span> 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 <sup>40</sup>Ca, <sup>48</sup>Ca,<sup> 54</sup>Fe, <sup>90</sup>Zr, <sup>108</sup>Sn, <sup>114</sup>Te, <sup>142</sup>Nd<sub>, </sub>and <sup>208</sup>Pb are very successfully predicted.</span> 
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%K Cluster Models
%K &lt
%K sup&gt
%K 40&lt
%K /sup&gt
%K Ca
%K &lt
%K sup&gt
%K 48&lt
%K /sup&gt
%K Ca
%K &lt
%K sup&gt
%K 54&lt
%K /sup&gt
%K Fe
%K &lt
%K sup&gt
%K 90&lt
%K /sup&gt
%K Zr
%K &lt
%K sup&gt
%K 108&lt
%K /sup&gt
%K Sn
%K &lt
%K sup&gt
%K 114&lt
%K /sup&gt
%K Te
%K &lt
%K sup&gt
%K 142&lt
%K /sup&gt
%K Nd
%K &lt
%K sup&gt
%K 208&lt
%K /sup&gt
%K Pb
%K Binding Energies
%K Coulomb Energies
%K Proton
%K Neutron
%K Mass Radii
%K Atomic Fermions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=34232