论文标题
用变形核的能量密度函数的校准
Calibration of Energy Density Functionals with Deformed Nuclei
论文作者
论文摘要
核密度功能理论是普遍的理论框架,用于准确描述整个核素图表的核特性。给定能量功能和多体方案(例如,单位或多次级别水平),该理论的预测能力在很大程度上取决于如何用实验数据对能量函数的参数进行校准。扩展的算法和计算能力使最新的优化协议能够在变形核中包含数据,以优化能量函数的耦合常数。这项工作的主要动机是在基础计算的某些技术和数值细节上测试此类协议的鲁棒性,尤其是当校准探索较大的参数空间时。为此,我们量化了这些不确定性对复合目标函数的优化和统计仿真的影响。我们还强调,贝叶斯校准可以更好地估计用于定义目标函数的理论错误。
Nuclear density functional theory is the prevalent theoretical framework for accurately describing nuclear properties at the scale of the entire chart of nuclides. Given an energy functional and a many-body scheme (e.g., single- or multireference level), the predictive power of the theory depends strongly on how the parameters of the energy functionals have been calibrated with experimental data. Expanded algorithms and computing power have enabled recent optimization protocols to include data in deformed nuclei in order to optimize the coupling constants of the energy functional. The primary motivation of this work is to test the robustness of such protocols with respect to some of the technical and numerical details of the underlying calculations, especially when the calibration explores a large parameter space. To this end, we quantify the effect of these uncertainties on both the optimization and statistical emulation of composite objective functions. We also emphasize that Bayesian calibration can provide better estimates of the theoretical errors used to define objective functions.