哪些核适合被液滴模型描述:基于不确定度分解方法的统计研究（英文）

发布时间：2018-03-29 15:19

本文选题：原子核　切入点：不确定度分解方法　出处：《原子核物理评论》2017年01期

【摘要】：一个模型适合描述哪些物理量?这个问题可以通过模型的物理来源来回答。比如,液滴模型适合描述重核和远离满壳核。这是因为液滴近似更适用于核子数多的核以及液滴模型不包含壳效应。这样的回答是定性的并需要清楚模型的物理来源。是否可能仅通过模型的数学形式和实验数据就能给出半定量的解答?利用最近提出的不确定度分解方法尝试对液滴模型适合描述哪些核这一问题进行半定量的回答。并且不需已知液滴模型的物理来源,仅需其数学形式以及实验数据。通过不确定度分解方法,液滴模型与实验数据间的残差可以分解为系统不确定度和统计不确定度。两者分别代表了模型的缺陷和模型不精确的参数带来的不确定度。基于这一分解,核素图上的原子核可以按其对应的残差被半定量地划分为系统不确定度主导、统计不确定度主导、以及中间区域。液滴模型适合描述的核就是统计不确定度主导残差的核而不是像通常认为的是残差最小的核。从核素图上看,统计不确定度主导残差的核正是重核以及远离满壳核,与液滴模型物理来源一致,但得到这一结果的过程是半定量的且仅需液滴模型的数学形式以及实验数据。如果对由统计不确定度主导残差的核重新拟合液滴模型的参数,模型可以很好地描述这些核(标准差小于0.7 MeV)。
[Abstract]:Which physical quantities is a model suitable to describe? This question can be answered through the physical source of the model. For example, The droplet model is suitable for describing heavy nuclei and being far away from the full shell. This is because the droplet approximation is more suitable for nuclei with more nucleons and the droplet model does not contain a shell effect. This answer is qualitative and requires a clear understanding of the physical source of the model. Is it possible to give a semi-quantitative solution only through the mathematical form and experimental data of the model? Using the recently proposed uncertainty decomposition method, we try to give a semi-quantitative answer to the question that the drop model is suitable for describing which nuclei, and it is not necessary to know the physical source of the droplet model. Only its mathematical form and experimental data. By the method of uncertainty decomposition, The residual error between the droplet model and the experimental data can be decomposed into system uncertainty and statistical uncertainty, which represent the imperfections of the model and the uncertainty caused by the imprecise parameters of the model, respectively. The nuclei on the nuclide map can be semi-quantitatively divided into system uncertainty and statistical uncertainty according to their corresponding residuals. And the middle region. The core that the droplet model fits to describe is the one where statistical uncertainty dominates the residuals, rather than, as is commonly thought, the smallest residuals. The core that dominates the residuals of statistical uncertainty is the heavy nucleus and far away from the full shell core, which is consistent with the physical source of the droplet model. However, the process of obtaining this result is semi-quantitative and requires only the mathematical form of the droplet model and experimental data. If the parameters of the droplet model are refitted to the nucleus dominated by statistical uncertainty, The model can well describe these kernels (the standard deviation is less than 0.7 MeV ~ (1)).
【作者单位】：中山大学中法核工程与技术学院;
【基金】：National Natural Science Foundation of China(11305272) Specialized Research Fund for Doctoral Program of Higher Education(20130171120014) Guangdong Natural Science Foundation(2014A030313217) Pearl River S&T Nova Program of Guangzhou(201506010060)~~
【分类号】：O571.2

【相似文献】