论文标题
数据驱动的能量水平计算中性ytterbium（$ z $ = 70）
Data-Driven Energy Levels Calculation of Neutral Ytterbium ($Z$ = 70)
论文作者
论文摘要
鉴于难以计算高$ z $元素的原子结构参数，HFR（具有相对论校正）理论的HFR（与山脊回归（RR）算法相关的Hartree-fock）提出了建议和应用。通过分析HFR理论的能级结构参数并使用拟合实验能量水平外推法，计算了{Yb〜I}（$ z = 70 $）原子的一些激发状态能级，包括$ 4F $ open shell。通过将其与Cowan的最小二乘结果进行比较，可以证明脊回归算法的优势。此外，将新方法获得的结果与实验结果和其他理论结果进行了比较，以证明我们方法的可靠性和准确性。
In view of the difficulty in calculating the atomic structure parameters of high-$Z$ elements, the HFR (Hartree-Fock with relativistic corrections) theory in combination with the ridge regression (RR) algorithm rather than the Cowan code's least squares fitting (LSF) method is proposed and applied. By analyzing the energy level structure parameters of the HFR theory and using the fitting experimental energy level extrapolation method, some excited state energy levels of the {Yb~I} ($Z=70$) atom including the $4f$ open shell are calculated. The advantages of the ridge regression algorithm are demonstrated by comparing it with Cowan's least squares results. In addition, the results obtained by the new method are compared with the experimental results and other theoretical results to demonstrate the reliability and accuracy of our approach.
