标题： 基于贝叶斯方法的核结构中多体不确定性：有限核的多体微扰理论 显示英文标题

标题： A Bayesian approach for many-body uncertainties in nuclear structure: Many-body perturbation theory for finite nuclei

摘要： 对理论不确定性的全面评估是核结构研究中的一个重要前沿领域。 理想情况下，理论预测应包含不确定性估计，这些估计考虑了相互作用和多体展开的截断效应。 虽然在有效场论中，相互作用展开的不确定性已通过贝叶斯方法进行了系统研究，但多体截断通常通过专家评估来处理。 在这项工作中，我们使用贝叶斯框架来研究应用于有限核的多体微扰理论中的多体不确定性。 我们的框架应用于整个核图上的广泛核，这些核是基于手征有效场论的两核子和三核子相互作用计算得出的。 这些进展代表了向更完整和系统地量化\emph{从头计算}核计算中的不确定性迈出的一步。 显示英文摘要

摘要： A comprehensive assessment of theoretical uncertainties defines an important frontier in nuclear structure research. Ideally, theory predictions include uncertainty estimates that take into account truncation effects from both the interactions and the many-body expansion. While the uncertainties from the expansion of the interactions within effective field theories have been studied systematically using Bayesian methods, many-body truncations are usually addressed by expert assessment. In this work we use a Bayesian framework to study many-body uncertainties within many-body perturbation theory applied to finite nuclei. Our framework is applied to a broad range of nuclei across the nuclear chart calculated from two- and three-nucleon interactions based on chiral effective field theory. These developments represent a step towards a more complete and systematic quantification of uncertainties in \emph{ab initio} calculations of nuclei.