在带电粒子活化实验中协方差矩阵构建的系统方法
A systematic approach to Covariance matrix formulation in charged particle activation experiments
AI总结：
本文通过灵敏系数计算统计和系统贡献，系统分析活化技术测得的截面协方差矩阵，展示协方差矩阵在不确定性和相关性分析中的重要性。
摘要：
本文介绍了使用活化技术测得的截面的详细协方差和相关矩阵分析。通过灵敏系数明确计算了协方差矩阵的统计和系统贡献。通过用指数函数重新拟合标准源数据确定探测器效率，并将拟合参数的协方差矩阵传播以估计相关γ射线能量处的效率不确定性。截面和相应的实验参数，如束流、靶厚、γ射线强度和衰变修正，均来自之前发表的测量，并用于说明协方差形式化。所得的协方差和相关矩阵提供了不确定性和其相关性的全面表示。该形式化展示了包括相关不确定性对于可靠解释和比较实验截面数据的重要性。
英文摘要：
This work presents a detailed covariance and correlation matrix analysis for experimentally measured cross sections obtained using the activation technique. Both statistical and systematic contributions to the covariance matrix were explicitly calculated using sensitivity coefficients. The detector efficiency was determined by refitting standard source data with an exponential function, and the associated covariance matrix of the fitted parameters was propagated to estimate the uncertainty in efficiency at the relevant $γ$-ray energy. The cross sections and the corresponding experimental parameters, such as beam flux, target thickness, $γ$-ray intensity, and decay corrections, were taken from previously published measurements and are used here for the purpose of illustrating the covariance formalism. The resulting covariance and correlation matrices provide a comprehensive representation of uncertainties and their interdependencies. This formalism demonstrates the importance of including correlated uncertainties for reliable interpretation and comparison of experimental cross section data.
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