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arXiv 2607.15250physics.soc-ph

康普顿与贝塞-费曼产额公式的等价性

Equivalence of the Compton and Bethe-Feynman Yield Formulas

Edwin Lyman

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中文总结 AI 辅助

研究康普顿与贝塞-费曼产额公式的等价性,通过直接从康普顿早期估算产额方法结果中得出贝塞-费曼公式,其详细推导为该公式物理基础提供更直观理解。

中文摘要 AI 辅助

贝塞-费曼公式已被证明可用于估算简单裂变武器的爆炸产额。然而,公开文献中该公式的推导使用了有效性不明显且存在明显矛盾的近似方法。本文表明,贝塞-费曼公式可直接从亚瑟·H·康普顿1941年美国国家科学院铀委员会报告中估算产额的早期方法结果中得出。康普顿的详细推导为贝塞-费曼公式的物理基础提供了更直观的理解。

英文摘要

The Bethe-Feynman formula has proven useful for estimating the explosive yields of simple fission weapons. However, derivations of the Bethe-Feynman formula found in the open literature utilize approximations whose validity is not obvious, and which contain an apparent contradiction. Here we show that the Bethe-Feynman formula can be extracted in a straightforward manner from the results of an earlier approach for estimating yield by Arthur H. Compton, as presented in the 1941 National Academy of Sciences Uranium Committee report. Compton's detailed derivation provides a more intuitive understanding of the physical basis for the Bethe-Feynman formula.

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