The β-delayed neutron decay of a fictional nuclide, pandemonium, is created numerically using a statistical model and Monte Carlo techniques. The neutron spectra generated are compared with experimental results for the decays of 85As, 87Br, 135Sb and 137I. Contrary to previously held beliefs, we find the experimental data to be consistent in all important aspects with a statistical interpretation. It is shown that peak-stripping analyses of the more complex experimental neutron spectra cannot yield reliable decay schemes. In particular, schemes obtained previously for the decays of 85As and 135Sb, together with discussions of structure supposedly in their β-decay strength functions, must be regarded as unjustified.
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