arXiv: 2607.15250

康普顿与贝特-费曼产额公式的等价性

Equivalence of the Compton and Bethe-Feynman Yield Formulas

July 16, 2026

作者: Edwin Lyman

physics.soc-phphysics.soc-ph

摘要

贝特-费曼公式已被证明可用于估算简单裂变武器的爆炸当量。然而，公开文献中对贝特-费曼公式的推导所采用的近似方法，其有效性并不明确，且存在明显的矛盾。本文表明，贝特-费曼公式可从阿瑟·H·康普顿在1941年美国国家科学院铀委员会报告中提出的早期当量估算方法的结果中直接导出。康普顿的详细推导为理解贝特-费曼公式的物理基础提供了更直观的视角。

English

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.