论文标题
用手性核子核子和三核子力量化中子α散射中的不确定性
Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
论文作者
论文摘要
背景：现代攻击理论与高质量的核子核子（NN）和三核（3N）相互作用相结合，来自手学有效田间理论（EFT）可以提供与天文学和融合 - 能量应用相关的低能光核反应的预测描述。但是，到目前为止，高计算成本阻碍了对此类计算的不确定性预算的完整分析。目的：从NN的电势开始到第五阶（N4LO），再加上领先的3N力，我们研究了3N接触的手性膨胀和置信区间的逐阶收敛，以及在多个散布中的整体不确定的不确定预算的整体不确定的散布质量的不确定预算。方法：我们在无核壳模型的从头算框架内计算三，四和五个核子系统的结构和反应可观察到的无核壳模型。使用一小件设计运行，我们构建了一个高斯过程模型（GPM），该模型是该理论的统计模拟器。因此，我们深入了解3N低能常数在整个计算过程中如何传播，并确定这些参数的贝叶斯后验分布与马尔可夫链蒙特卡洛。
Background: Modern ab initio theory combined with high-quality nucleon-nucleon (NN) and three-nucleon (3N) interactions from chiral effective field theory (EFT) can provide a predictive description of low-energy light-nuclei reactions relevant for astrophysics and fusion-energy applications. However, the high cost of computations has so far impeded a complete analysis of the uncertainty budget of such calculations. Purpose: Starting from NN potentials up to fifth order (N4LO) combined with leading-order 3N forces, we study how the order-by-order convergence of the chiral expansion and confidence intervals for the 3N contact and contact-plus-one-pion-exchange low-energy constants (cE and cD) contribute to the overall uncertainty budget of many-body calculations of neutron-He elastic scattering. Methods: We compute structure and reaction observables for three-, four- and five-nucleon systems within the ab initio frameworks of the no-core shell model an no-core shell model with continuum. Using a small set of design runs, we construct a Gaussian process model (GPM) that acts as a statistical emulator for the theory. With this, we gain insight into how uncertainties in the 3N low-energy constants propagate throughout the calculation and determine the Bayesian posterior distribution of these parameters with Markov-Chain Monte-Carlo.
