2023年2月1日
Theoretical Derivation of a Unique Combination Number Hidden in the Higher-Order Neutron Correlation Factors Using the Pál-Bell Equation
Nuclear Science and Engineering
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- 巻
- 197
- 号
- 2
- 開始ページ
- 176
- 終了ページ
- 188
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1080/00295639.2022.2049992
- 出版者・発行元
- Taylor & Francis, Ltd.
The Pál-Bell equation is a backward-type master equation that describes the probability generating function (PGF) of neutron counts in a neutron multiplication system. Thanks to the Pál-Bell equation with the two-forked and the fundamental mode approximations, an analytical solution of PGF of neutron counts in a source-driven subcritical system can be theoretically derived. This theoretical derivation clarifies that the unique combination number of double factorial (2n−3)!! does exist in the ratio of the higher-order neutron correlation factors measured in a critical state even for any kind of fissile and moderator materials. Additionally, the unique combination numbers are experimentally validated for the order 3 ≤ n ≤ 6 through reactor noise measurements in actual subcritical systems. This knowledge can be used to judge whether a target system is in a deep subcritical state or to roughly estimate the magnitude of subcriticality, based on the factorial moments of the measured reactor noise in a zero-power state.
- リンク情報
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- DOI
- https://doi.org/10.1080/00295639.2022.2049992 本文へのリンクあり
- 共同研究・競争的資金等の研究課題
- 詳細不明な体系における未臨界測定技術の開発
- ID情報
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- DOI : 10.1080/00295639.2022.2049992
- ISSN : 0029-5639
- eISSN : 1943-748X
- ORCIDのPut Code : 111634609