Solving one-dimensional penetration problem for fission channel in the statistical Hauser-Feshbach theory

2023/07/01 by Toshihiko Kawano, Kawano, Toshihiko, P. Talou +3 · 1 citation
Engineering · Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Nuclear reactor physics and engineering #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2307.00220

openalex publication_date 2023/07/01 · openalex created_date 2023/07/05 · openalex updated_date 2026/08/01

Abstract

We solve the Schrödinger 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 ^235,238U and ²³⁹Pu. 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 ^235,238U and ²³⁹Pu all exhibit a similar structure.

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• Updating GEANIE ²³⁹Pu prompt γ-ray experimental data using modern Hauser-Feshbach fission fragment decay model

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