Physics-based method for generating probability table using random-matrix approach
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917241547653120 |
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| author | Fujio, K. Kawano, T. Lovell, A. E. Neudecker, D. Walton, N. A. W. |
| author_facet | Fujio, K. Kawano, T. Lovell, A. E. Neudecker, D. Walton, N. A. W. |
| contents | 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 $^{238}$U and $^{239}$Pu 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 unitality for the $S$ matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01835 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Physics-based method for generating probability table using random-matrix approach Fujio, K. Kawano, T. Lovell, A. E. Neudecker, D. Walton, N. A. W. Nuclear Theory Nuclear Experiment 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 $^{238}$U and $^{239}$Pu 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 unitality for the $S$ matrix. |
| title | Physics-based method for generating probability table using random-matrix approach |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2602.01835 |