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Physics-based method for generating probability table using random-matrix approach

delete2026-05-01
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PRE
AI
F
Fujio, Kazuki *
T
Toshihiko Kawano
A
A. E. Lovell
D
Denise Neudecker
N
Noah Walton
DOI:10.1080/00223131.2026.2667518delete
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Abstract

Abstract

En 中文
We develop a new method for generating probability tables based on a solid theoretical foundation. The fluctuating cross sections are calculated using the GOE-S-matrix model, in which the Gaussian orthogonal ensemble (GOE) is incorporated into the calculation of the scattering (S) matrix. The calculated cross sections are then converted into the probability tables in the same manner as in NJOY. Using U-238 and Pu-239 as target nuclei, we determine the optimal model parameters based on the convergence behavior of the average cross sections. The statistical uncertainty of the probability tables is examined as a function of the number of ladders. We demonstrate that the probability tables calculated at 0 K are qualitatively comparable with those calculated using the conventional single-level Breit-Wigner formalism, albeit we observe some local differences due to requisite unitarity for the S matrix.
Keywords:
Nuclear reaction
unresolved resonance region
probability table
random-matrix approach
Gaussian orthogonal ensemble

Journal

J
Journal of Nuclear Science and Technology
IF:
1.7
Papers:
81
Citations:
4.7K

Organization

United States Department of Energy cover
United States Department of Energy
Scholars:
706
Papers: 230
Citations: 1.9K
Cited Papers

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