Investigation of epi-thermal shape-parameter needed for precision analysis of activation

Abstract

The present work aims to expose factors that alter the isotope’s effective resonance energy and its resonance integral in order to have consistency between the experimental observation of integral experiments and the prediction of the reaction rate. The investigation is based on disclosing the interference among resonances in Breit-Wigner and Reich-Moore representations to make the investigation of the statistical nature of resonances possible. The shape-parameter influence on the isotope’s behavior in epi-thermal neutron field was investigated in the range from -0.1 to 0.1. Evaluated resonance data given in Evaluated Nuclear Data Files (ENDF/B VII.1) and temperature-dependent cross-sections of Point2015 are used. Only resolved resonances are considered in the present assessment. Tabulated values of resonance integrals and effective resonance energies with their moments are given for the majority of ENDF’s isotopes. The reported data can be used, directly, to compute the integral parameters for any value of shape-parameter without the need to use numerical software tools. Correlations among effective resonance energy, experimental level spacing and resonance integral are discussed.