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预平衡反应多步复合理论和复合核反应理论的统一表示
A Unified Expression for Multistep Compound Theory of Pre-equilibrium Reaction and Compound Nucleus Reaction Theory
【摘要】 将Feshbach Kerman Koonin(FKK)量子多步复合 (MSC)理论推广至核子自旋为 1 2 ,靶核自旋任意 ,在j j表象严格处理角动量耦合 ,得到自旋为 1 2的FKK MSC公式 .进一步用光学模型吸收代替门态强度函数 ,以及用复合核衰变宽度代替平衡态的逃逸宽度 ,给出了FKK MSC理论与复合核反应Hauser Feshbach模型 (HFM)的一个统一表达式 .这一公式将MSC和HFM与光学模型相联系 ,对核反应给出自洽和一致的描述 .利用上述工作对一些典型的核反应实验进行了初步地分析 ,计算结果合理 ,与实验数据符合尚好 .
【Abstract】 The Feshbach-Kerman-Koonin multistep compound theory (MSC)of the pre-equilibrium reaction is further improved and perfected. The nucleon is treated as a spin-half particle, target nucleus is allowed to a non-zero spin and the angular momentum coupling is treated rigorously. The expressions of the double-differential cross section and transition matrix elements are obtained in j-jrepresentation. The strength function of doorway state is replaced by optical model absorption, and the escape width is replaced by decay width of Hauser-Feshbach model (HFM)in the r-space where full equilibrium has been established. A unified expression for MSC of pre-equilibrium reaction and HFM of compound nucleus reaction is presented. This formula can integrate MSC and HFM with the optical model and can give self-consistent and uniform description for nuclear reaction. Some typical data are analyzed by using the work mentioned above. The calculated results are reasonable and in good agreement with the experimental data.
【Key words】 pre-equilibrium reaction; multistep compound theory; compound nucleus reaction theory;
- 【文献出处】 高能物理与核物理 ,High Energy Physics and Nuclear Physics , 编辑部邮箱 ,2003年06期
- 【分类号】O571.4
- 【被引频次】4
- 【下载频次】42