Numerical Simulations for Low Energy Nuclear Reactions to Validate Statistical Models

We revisit issues regarding the statistical model calculations in the fast energy range, such as the energy average cross sections using different statistical assumptions. We perform numerical simulations by generating the resonances using the random matrix theory, and compare the energy (ensemble) average cross sections with the statistical models, such as the theories of Moldauer, HRTW (Hofmann, Richert, Tepel, and Weidenmüller), KKM (Kawai, Kerman, and McVoy), and GOE (Gaussian orthogonal ensemble). An improved parameterization for the channel degree-of-freedom is proposed, and limitation of the statistical theories is discussed.