中国物理B ›› 2026, Vol. 35 ›› Issue (7): 73401-073401.doi: 10.1088/1674-1056/ae64d6

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Absolute differential cross sections for low-energy He+-He collisions via fully quantum dynamics

Yu Wang(王瑜)1, Kun Wang(王堃)2, Yu-Kun Yang(杨玉坤)3, Chuan-Liang Li(李传亮)1,†, Ling Liu(刘玲)4,‡, Yong Wu(吴勇)4, Svetlana A. Yakovleva5, and Andrey K. Belyaev5   

  1. 1 Shanxi Province Engineering Research Center of Precision Measurement and Online Detection Equipment, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China;
    2 Institute of Environmental Science, Shanxi University, Taiyuan 030006, China;
    3 School of Physics, Henan Normal University, Xinxiang 453000, China;
    4 Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    5 Department of Theoretical Physics and Astronomy, Herzen University, St. Petersburg 191186, Russia
  • 收稿日期:2026-03-30 修回日期:2026-04-16 接受日期:2026-04-27 发布日期:2026-07-10
  • 通讯作者: Chuan-Liang Li, Ling Liu E-mail:clli@tyust.edu.cn;liu_ling@iapcm.ac.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12504297, 12274040, 12304279, 12204288, and 62475182), the National Key R&D Program of China (Grant No. 2022YFA1602504), the Shanxi Province Scientific Research Initial Funding (Grant No. 20252011), and the Taiyuan University of Science and Technology Scientific Research Initial Funding (Grant No. 20242149). AKB gratefully acknowledges support by the internal grant of Herzen University (the Russian Federation), Project No. 46-VG.

Absolute differential cross sections for low-energy He+-He collisions via fully quantum dynamics

Yu Wang(王瑜)1, Kun Wang(王堃)2, Yu-Kun Yang(杨玉坤)3, Chuan-Liang Li(李传亮)1,†, Ling Liu(刘玲)4,‡, Yong Wu(吴勇)4, Svetlana A. Yakovleva5, and Andrey K. Belyaev5   

  1. 1 Shanxi Province Engineering Research Center of Precision Measurement and Online Detection Equipment, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China;
    2 Institute of Environmental Science, Shanxi University, Taiyuan 030006, China;
    3 School of Physics, Henan Normal University, Xinxiang 453000, China;
    4 Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
    5 Department of Theoretical Physics and Astronomy, Herzen University, St. Petersburg 191186, Russia
  • Received:2026-03-30 Revised:2026-04-16 Accepted:2026-04-27 Published:2026-07-10
  • Contact: Chuan-Liang Li, Ling Liu E-mail:clli@tyust.edu.cn;liu_ling@iapcm.ac.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant Nos. 12504297, 12274040, 12304279, 12204288, and 62475182), the National Key R&D Program of China (Grant No. 2022YFA1602504), the Shanxi Province Scientific Research Initial Funding (Grant No. 20252011), and the Taiyuan University of Science and Technology Scientific Research Initial Funding (Grant No. 20242149). AKB gratefully acknowledges support by the internal grant of Herzen University (the Russian Federation), Project No. 46-VG.

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摘要： Angular differential cross sections for elastic scattering and charge transfer in low-energy He$^+$-He collisions underpin diverse plasma applications, yet systematic quantum mechanical data remain scarce. Employing the fully quantum mechanical molecular-orbital close-coupling method with high-accuracy ab initio potential energy curves, absolute angular differential cross sections are computed over 0.005-1250 eV/u and scattering angles 0.01$^\circ$-90$^\circ$. The present results show good agreement with available high-resolution experimental benchmarks in both magnitude and oscillatory structure, with improved consistency over existing semiclassical and single-electron approaches. By decomposing the cross sections into separate symmetric and antisymmetric channel contributions, three classes of oscillatory structures and their energy evolution are identified: regular oscillations from two-channel quantum interference, irregular oscillations from rainbow scattering in the deep attractive well, and fine-scale oscillations from matter-wave diffraction off the repulsive wall. This work provides the first systematic, fully quantum mechanical differential cross-section dataset across the low-energy and full angular range, serving as reliable reference data for plasma modeling and related applications.

关键词: elastic scattering, charge transfer, fully quantum dynamics, angular differential cross sections

Abstract: Angular differential cross sections for elastic scattering and charge transfer in low-energy He$^+$-He collisions underpin diverse plasma applications, yet systematic quantum mechanical data remain scarce. Employing the fully quantum mechanical molecular-orbital close-coupling method with high-accuracy ab initio potential energy curves, absolute angular differential cross sections are computed over 0.005-1250 eV/u and scattering angles 0.01$^\circ$-90$^\circ$. The present results show good agreement with available high-resolution experimental benchmarks in both magnitude and oscillatory structure, with improved consistency over existing semiclassical and single-electron approaches. By decomposing the cross sections into separate symmetric and antisymmetric channel contributions, three classes of oscillatory structures and their energy evolution are identified: regular oscillations from two-channel quantum interference, irregular oscillations from rainbow scattering in the deep attractive well, and fine-scale oscillations from matter-wave diffraction off the repulsive wall. This work provides the first systematic, fully quantum mechanical differential cross-section dataset across the low-energy and full angular range, serving as reliable reference data for plasma modeling and related applications.

Key words: elastic scattering, charge transfer, fully quantum dynamics, angular differential cross sections

中图分类号:  (Charge transfer)

  • 34.70.+e
13.85.Dz (Elastic scattering) 82.20.Pm (Rate constants, reaction cross sections, and activation energies) 82.20.Ej (Quantum theory of reaction cross section)