Solving one-dimensional penetration problem for fission channel in the statistical Hauser-Feshbach theory
Abstract
We solve the Schr\"{o}dinger equation for an arbitrary one-dimensional potential energy to calculate the transmission coefficient in the fission channel of compound nucleus reactions. We incorporate the calculated transmission coefficients into the statistical Hauser-Feshbach model calculation for neutron-induced reactions on U and Pu. The one-dimensional model reproduces the evaluated fission cross section data reasonably well considering the limited number of model parameters involved. A resonance-like structure appears in the transmission coefficient for a double-humped fission barrier shape that includes an intermediate well, which is understood to be a quantum mechanical effect in the fission channel. The calculated fission cross sections for the neutron-induced reactions on U and Pu all exhibit a similar structure.
Keywords
Cite
@article{arxiv.2307.00220,
title = {Solving one-dimensional penetration problem for fission channel in the statistical Hauser-Feshbach theory},
author = {Toshihiko Kawano and Patrick Talou and Stephane Hilaire},
journal= {arXiv preprint arXiv:2307.00220},
year = {2023}
}