From the resonance theory to the statistical model

Toshihiko Kawano · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 2020

We present a brief introduction to the R-matrix theory for the compound nuclear reaction, and explain its relation to the energy-average cross section in the unresolved resonance region.To bridge these two representations of the compound reaction cross section, we utilize the Gaussian Orthogonal Ensemble (GOE) embedded in the scattering matrix to calculate the average cross sections, and demonstrate calculation of the decay width from a transmission coefficient that is a model input.

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