Quark-Gluon model for nuclear magic numbers related to low energy nuclear reactions

ENVR 106

George H. Miley, ghmiley@uiuc.edu1, Heinz Hora, hora@phys.unsw.edu.au2, N. Ghahramani3, M. Ghanaatian4, M. Hooshmand4, and F. Osman3. (1) Department of Nuclear, Plasma and Radiological Engineering, University of Illinois at Champaign-Urbana, 100 NEL, 103 S. Goodwin Ave, Urbana, IL 61801, (2) Department of Theoretical Physics, University of New South Wales, 2052 Sydney, Australia, (3) School of Computing and Mathematics, University of Western Sydney, Penrith, NSW, Australia, (4) Department of Physics, Shiraz University, Shiraz, Iran
A new Quark-Gluon model is presented for derivation of the magic numbers of nuclei and compared with the model based on the Boltzmann distribution from the standard abundance distribution (SAD) of nuclei in the Universe in the endothermic branch. This new model results in a 3n relation leading to the motivation to explore the quark state in nuclei. But this is in contrast (duality) to the fact that the confinement of nuclei by a generalized Debye layer can be based only on a nucleon and not on a quark structure. These Debye model results force a change of the Fermi energy of the nucleons into the relativistic range at higher than nuclear density. This then results in a mass independent state at higher than nuclear densities for the quark state in neutron stars. This result and the 3n-relation motivated us to consider the quark state in nuclei. The success is reported here uses quark statistics for nuclei reproducing the magic numbers up to 126 identical with the Boltzmann model. But for the highest number, the conventional Boltzmann model arrives at 180 while the new quark model definitively leads to the number 184. This paradox may be solved by the very accurate measurements of a local Maruhn-Greiner maximum from low energy nuclear Rractions (LENR) reported earlier by Miley, et al. In those experiments the reaction yield curve shows a distinctive intermediate (tertiary fission) peak at A=155 originating from a compound nucleus was found, consistent with the new magic number of 184 predicted by the new quark model. This result is not only very important to understanding quark-gluon physics, but also to the understanding of the branch of cold fusion involving nuclear transmutations called LENR.