学习资料与实例
按章节列出补充实例与参考文献。作业题目见课程作业,ROOT 基础操作见编程与 ROOT 入门。
第一章:射线与物质的相互作用
实例
- Gamma Spectrum Features:γ 能谱中常见结构的图示。
参考文献
- B. Davin et al., “LASSA: a large area silicon strip array for isotopic identification of charged particles,” Nucl. Instrum. Methods A 473, 302–318 (2001).
- M. S. Wallace et al., “The high resolution array (HiRA) for rare isotope beam experiments,” Nucl. Instrum. Methods A 583, 302–312 (2007).
- S. Takeuchi et al., “DALI2: A NaI(Tl) detector array for measurements of γ rays from fast nuclei,” Nucl. Instrum. Methods A 763, 596–603 (2014).
- F. M. Marqués et al., “Detection of neutron clusters,” Phys. Rev. C 65, 044006 (2002).
- F. M. Marqués et al., “On the possible detection of 4n events in the breakup of 14Be,” arXiv:nucl-ex/0504009 (2005).
- K. Kisamori et al., “Candidate Resonant Tetraneutron State Populated by the ⁴He(⁸He,⁸Be) Reaction,” Phys. Rev. Lett. 116, 052501 (2016).
- M. Duer et al., “Observation of a correlated free four-neutron system,” Nature 606, 678–682 (2022).
第二章:放射性测量中的统计学
统计方法与拟合实例
统计过程与计数
拟合教程
建议在学习参数估计后阅读。两本教程均可在页面开头切换 PyROOT / ROOT C++,提供可运行的 notebook、拟合结果与图。
- ROOT Fit:从数据、模型到参数与误差:从 weighted least squares 和 Gaussian 峰入手,学习计数 histogram 的 Poisson likelihood、峰与本底联合拟合、面积与协方差、residual、HESSE / MINOS 和拟合稳定性。
- RooFit:从 PDF 到组合模型与 likelihood:从归一化 PDF 与数据集入手,学习 workspace、signal + background、binned / unbinned 与 extended likelihood、profile、simultaneous fit 和 toy 验证。
常规 ROOT Fit 用 TF1 直接描述 histogram 或 graph 的拟合函数;RooFit 用 PDF、组分与数据集组织概率模型。区别主要在模型组织方式,不是分别对应 least squares 和 maximum likelihood。
专题查阅
参考文献
- K. Morita et al., “New Result in the Production and Decay of an Isotope, ²⁷⁸113, of the 113th Element,” J. Phys. Soc. Jpn. 81, 103201 (2012). 少计数事件与本底概率。
- D. S. Ahn et al., “Location of the Neutron Dripline at Fluorine and Neon,” Phys. Rev. Lett. 123, 212501 (2019). 未观测到事件时的统计推断。
- C. B. Hinke et al., “Superallowed Gamow–Teller decay of the doubly magic nucleus ¹⁰⁰Sn,” Nature 486, 341–345 (2012). 衰变数据的参数估计。
- T. Zheng et al., “Study of halo structure of ¹⁶C from reaction cross section measurement,” Nucl. Phys. A 709, 103–118 (2002). 截面测量与系统误差。
第三章:探测器信号的一般特征
第四章:气体探测器
栅极电离室(GIC)
- 信号形成与模拟:α 径迹、感应电流与电荷、前放响应、能量—角度关联与波形累积图。
- 实验波形、成型与物理量提取:原始与滤波波形、成型与定时、阴极—阳极关联、角度选择及实验—模拟比较。
参考文献
- A. Göök et al., “Application of the Shockley–Ramo theorem on the grid inefficiency of Frisch grid ionization chambers,” Nucl. Instrum. Methods A 664, 289–293 (2012).
- J. Liu et al., “The impacts of the ballistic deficit and electron attachment on the pulse shapes of the Frisch-grid ionization chamber,” Nucl. Instrum. Methods A 1014, 165751 (2021).
- J. Liu et al., “Improved method to measure the electron drift velocity using the Frisch-grid ionization chamber,” Nucl. Instrum. Methods A 1004, 165363 (2021).
- J. Liu et al., “Research on the electron attachment of oxygen using a Frisch-grid ionization chamber,” Nucl. Instrum. Methods A 1013, 165669 (2021).
- H. Kumagai et al., “Development of Parallel Plate Avalanche Counter (PPAC) for BigRIPS fragment separator,” Nucl. Instrum. Methods B 317, 717–727 (2013).