Integer ratios in Ex/Sn observed in the resonances of light nuclei

The ratio of excitation energies Ex and neutron separation energy Sn for neutron resonances of 16O+n are observed to be ratios of simple integers. Similar analyses are made for the resonances of light target nuclei, 3He, 6,7Li, 8,9Be, 10,11B, 12,13C, 14,15N, 16,18O showing that Ex/Sn=4/3 or 5/3 are values that appear in many nuclei. A statistical test shows that these integer ratios do not exist by accident but that they have a physical origin. A classical model of neutron resonance reaction is developed relating these integer ratios, based on the breathing of the compound nucleus that is coherent with the incident neutron wave. Origin of integer ratios among Ex, Sn of different nuclei are discussed based on a constant G value and integer splitting for many nuclei