中子多重性数学模型分析及其推证研究

Study on the Analysis and Inference of Mathematical Model of Neutron Multiplicity Counting Measurement

针对中子多重性分析计算方法中存在的问题展开研究,提出了样品铀和钚增殖因子M、样品诱发裂变率F、样品反应率与自发裂变中子发射率的比值α的优化计算方法。首先通过数学分析及推导得出了样品铀的M和F的计算公式,提出更为精确的计算方法;其次运用反证法证明了现有文献关于钚材料的M、F及α计算中存在的问题,订正其纰漏,提出了更容易实现的计算方法。该优化计算方法步骤简明、可操作性强,具有很强的实用价值。

The problems of neutron multiplicity counting measurement method were discussed, and the multipli-cation （leakage） M, the optimization computing methods of the spontaneous fission rate F and the alpha fraction a of the sample 235U and 239Pu were proposed. Firstly, the M and F of the sample 235U were got by mathematical anal-ysis and deduction, and the much preciser calculation method was proposed. Secondly, the problems of the availa-ble literature were confirmed by reduction ad absurdum, and the errors of calculation formulas were corrected, and the easier calculation method was proposed. The optimized calculation method was easy to apply with simple steps, and had important practical values.