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Determination of Neutron Resonance Parameters from Measurements of the Absorption Integral: Application to the Main Resonance of Uranium-238

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Abstract

THE resonance absorption of neutrons has been extensively studied by the time-of-flight technique1. If the resolution is insufficient to resolve the true shape of the resonance curve, it is sometimes possible to determine the absorption cross-section σ0 at exact resonance and the width Γ of the Breit–Wigner resonance formula from a study of the variations with absorber thickness of the absorption integral: where σ(E) is the cross-section of the absorbing nuclei and n the number of nuclei/cm.2. Experimentally, the absorption integral is found as the area of the dip in the measured curve of transmission against neutron energy. This area is independent of the resolution.

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DARDEL, G., PERSSON, R. Determination of Neutron Resonance Parameters from Measurements of the Absorption Integral: Application to the Main Resonance of Uranium-238. Nature 170, 1117–1118 (1952). https://doi.org/10.1038/1701117a0

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