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An effective method to calculate the electron impact excitation cross sections of helium from ground state to a final channel in the whole energy region |
| Rui Sun(孙瑞)1,2,3,†, De-Ling Zeng(曾德灵)4,†, Rui Jin(金锐)5, Xiao-Ying Han(韩小英)3, Xiang Gao(高翔)3,‡, and Jia-Ming Li(李家明)1,6 |
1 Key Laboratory for Laser Plasmas, Ministry of Education, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China;
2 Collaborative Innovation Center of IFSA, Shanghai Jiao Tong University, Shanghai 200240, China;
3 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
4 Institute of Electron & Electronic Measurement Technology, Shanghai Institute of Measurement and Testing Technology, Shanghai 201203, China;
5 Max-Planck-Institut für Kernphysik Saupfercheckweg 169117, Heidelberg, German;
6 Department of Physics and Center for Atomic and Molecular Nanosciences, Tsinghua University, Beijing 100084, China |
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Abstract The electron impact excitation (EIE) cross sections of an atom/ion in the whole energy region are needed in many research fields, such as astrophysics studies, inertial confinement fusion researches and so on. In the present work, an effective method to calculate the EIE cross sections of an atom/ion in the whole energy region is presented. We use the EIE cross sections of helium as an illustration example. The optical forbidden 11S-n1S (n = 2-4) and optical allowed 11S-n1P (n=2-4) excitation cross sections are calculated in the whole energy region using the scheme that combines the partial wave R-matrix method and the first Born approximation. The calculated cross sections are in good agreement with the available experimental measurements. Based on these accurate cross sections of our calculation, we find that the ratios between the accurate cross sections and Born cross sections are nearly the same for different excitation final states in the same channel. According to this interesting property, a universal correction function is proposed and given to calculate the accurate EIE cross sections with the same computational efforts of the widely used Born cross sections, which should be very useful in the related application fields. The datasets presented in this paper are openly available at https://www.doi.org/10.57760/sciencedb.j00113.00142.
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Received: 12 June 2023
Revised: 02 August 2023
Accepted manuscript online: 17 August 2023
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PACS:
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34.80.Dp
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(Atomic excitation and ionization)
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31.15.A-
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(Ab initio calculations)
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31.15.vj
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(Electron correlation calculations for atoms and ions: excited states)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12241410). |
Corresponding Authors:
Xiang Gao
E-mail: gao_xiang@iapcm.ac.cn
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Cite this article:
Rui Sun(孙瑞), De-Ling Zeng(曾德灵), Rui Jin(金锐), Xiao-Ying Han(韩小英), Xiang Gao(高翔), and Jia-Ming Li(李家明) An effective method to calculate the electron impact excitation cross sections of helium from ground state to a final channel in the whole energy region 2023 Chin. Phys. B 32 113401
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