论文标题
反应理论中不确定性定量的最新进展
Recent advances in the quantification of uncertainties in reaction theory
论文作者
论文摘要
在过去的几年中，不确定性定量在核物理学中变得越来越突出。在少数身体反应理论中，有四个主要来源导致计算出的可观察物中的不确定性：有效势，对少数身体问题的近似值，结构函数和自由度，自由度排除在模型空间之外。在这项工作中，我们说明了在核反应的背景下应用现代统计工具时可以获得的一些特征。这项工作包括在量化该领域中理论不确定性方面取得的进展的摘要，主要集中在那些来自有效的光学潜力以及它们在各种反应理论中的传播的不确定性。作为中心示例，我们以双重魔术稳定核$^{40} $ ca的反应，即中子和质子弹性散射以及单核转移$^{40} $ ca（d，d，p）$^{41} $ ca。首先，我们显示了用于限制差分横截面和其他实验约束的光势的不同优化方案。然后，我们讨论这些不确定性如何传播到转移横截面，并比较两种反应理论。我们通过制定未来的计划来结束。
Uncertainty quantification has become increasingly more prominent in nuclear physics over the past several years. In few-body reaction theory, there are four main sources that contribute to the uncertainties in the calculated observables: the effective potentials, approximations made to the few-body problem, structure functions, and degrees of freedom left out of the model space. In this work, we illustrate some of the features that can be obtained when modern statistical tools are applied in the context of nuclear reactions. This work consists of a summary of the progress that has been made in quantifying theoretical uncertainties in this domain, focusing primarily on those uncertainties coming from the effective optical potential as well as their propagation within various reaction theories. We use, as the central example, reactions on the doubly-magic stable nucleus $^{40}$Ca, namely neutron and proton elastic scattering and single-nucleon transfer $^{40}$Ca(d,p)$^{41}$Ca. First, we show different optimization schemes used to constrain the optical potential from differential cross sections and other experimental constraints; we then discuss how these uncertainties propagate to the transfer cross section, comparing two reaction theories. We finish by laying out our future plans.
