Ridge regression energy levels calculation of neutral ytterbium (Z = 70)
Yushu Yu(余雨姝)1,2, Chen Yang(杨晨)1,2,†, and Gang Jiang(蒋刚)1,2
1 Institute of Atomic and Molecular Physics, Sichuan University, Chengdu 610065, China; 2 Key Laboratory of High Energy Density Physics and Technology, Ministry of Education, Chengdu 610065, China
Abstract In view of the difficulty in calculating the atomic structure parameters of high-Z elements, the Hartree-Fock with relativistic corrections (HFR) 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 code's LSF 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.
(Atomic and molecular data, spectra, and spectralparameters (opacities, rotation constants, line identification, oscillator strengths, gf values, transition probabilities, etc.))
Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 10822041A2038).
Corresponding Authors:
Chen Yang
E-mail: yangchen@scu.edu.cn
Cite this article:
Yushu Yu(余雨姝), Chen Yang(杨晨), and Gang Jiang(蒋刚) Ridge regression energy levels calculation of neutral ytterbium (Z = 70) 2023 Chin. Phys. B 32 033101
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