Open AccessStandard Abundance Distribution of Elements in the Universe and Magic Numbers with Boltzmann Probability
Author(s) -
Frederick Osman,
Heinrich Hora
Publication year - 2004
Publication title -
american journal of applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1554-3641
pISSN - 1546-9239
DOI - 10.3844/ajassp.2004.51.53
Subject(s) - probability distribution , statistical physics , universe , magic (telescope) , abundance (ecology) , boltzmann distribution , mathematics , statistics , physics , astronomy , biology , ecology
The decay of the standard abundance distribution of elements in the Universe for heavy elements has well-know maxima near magic numbers of the nuclear shell model and deep minima in between. Combining the maxima as a generation probability N (Z) on the proton number Z of the nuclides, a Boltzmann probability shows decay N (Z) = N’ exp (-Z/Z’). The result of Z’ = 10 has consequences on the foundation of the magic numbers, on the quark structure of the shell and determines new higher magic numbers