Ridge regression energy levels calculation of neutral ytterbium (Z = 70)

doi:10.1088/1674-1056/acac08

中国物理B ›› 2023, Vol. 32 ›› Issue (3): 33101-033101.doi: 10.1088/1674-1056/acac08

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

收稿日期:2022-09-06 修回日期:2022-11-29 接受日期:2022-12-16 出版日期:2023-02-14 发布日期:2023-02-21
通讯作者: Chen Yang E-mail:yangchen@scu.edu.cn
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 10822041A2038).

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

Received:2022-09-06 Revised:2022-11-29 Accepted:2022-12-16 Online:2023-02-14 Published:2023-02-21
Contact: Chen Yang E-mail:yangchen@scu.edu.cn
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 10822041A2038).

摘要/Abstract

摘要： 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.

关键词: atomic data, ytterbium, energy levels, ridge regression algorithm

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.

Key words: atomic data, ytterbium, energy levels, ridge regression algorithm

中图分类号: (Self-consistent-field methods)

31.15.xr

32.30.-r (Atomic spectra?) 95.30.Ky (Atomic and molecular data, spectra, and spectralparameters (opacities, rotation constants, line identification, oscillator strengths, gf values, transition probabilities, etc.))

Yushu Yu(余雨姝), Chen Yang(杨晨), and Gang Jiang(蒋刚). Ridge regression energy levels calculation of neutral ytterbium (Z = 70)[J]. 中国物理B, 2023, 32(3): 33101-033101.

Yushu Yu(余雨姝), Chen Yang(杨晨), and Gang Jiang(蒋刚). Ridge regression energy levels calculation of neutral ytterbium (Z = 70)[J]. Chin. Phys. B, 2023, 32(3): 33101-033101.

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Ridge regression energy levels calculation of neutral ytterbium (Z = 70)

Ridge regression energy levels calculation of neutral ytterbium (Z = 70)

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