中国物理B ›› 2024, Vol. 33 ›› Issue (10): 103101-103101.doi: 10.1088/1674-1056/ad6422

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Geometric properties of the first singlet S-wave excited state of two-electron atoms near the critical nuclear charge

Tong Chen(陈彤)1, Sanjiang Yang(杨三江)2,†, Wanping Zhou(周挽平)3, Xuesong Mei(梅雪松)4, and Haoxue Qiao(乔豪学)1,‡   

  1. 1 School of Physics and Technology, Wuhan University, Wuhan 430072, China;
    2 College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China;
    3 School of Physics and Telecommunications, Huanggang Normal University, Huanggang 438000, China;
    4 Wuhan Maritime Communication Research Institute, Wuhan 430072, China
  • 收稿日期:2024-05-26 修回日期:2024-07-12 接受日期:2024-07-17 发布日期:2024-09-21
  • 通讯作者: Sanjiang Yang, Haoxue Qiao E-mail:sjyang@hbnu.edu.cn;qhx@whu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12074295, 12304271, and 12104420).

Geometric properties of the first singlet S-wave excited state of two-electron atoms near the critical nuclear charge

Tong Chen(陈彤)1, Sanjiang Yang(杨三江)2,†, Wanping Zhou(周挽平)3, Xuesong Mei(梅雪松)4, and Haoxue Qiao(乔豪学)1,‡   

  1. 1 School of Physics and Technology, Wuhan University, Wuhan 430072, China;
    2 College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China;
    3 School of Physics and Telecommunications, Huanggang Normal University, Huanggang 438000, China;
    4 Wuhan Maritime Communication Research Institute, Wuhan 430072, China
  • Received:2024-05-26 Revised:2024-07-12 Accepted:2024-07-17 Published:2024-09-21
  • Contact: Sanjiang Yang, Haoxue Qiao E-mail:sjyang@hbnu.edu.cn;qhx@whu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12074295, 12304271, and 12104420).

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摘要： The geometric structure parameters and radial density distribution of 1s2s$\,^1$S excited state of the two-electron atomic system near the critical nuclear charge $Z_{\rm c}$ were calculated in detail under tripled Hylleraas basis set. Contrary to the localized behavior observed in the ground and the doubly excited 2p$^2\,^3{\rm P}^{\rm e}$ states, for this state our results identify that while the behavior of the inner electron increasingly resembles that of a hydrogen-like atomic system, the outer electron in the excited state exhibits diffused hydrogen-like character and becomes perpendicular to the inner electron as nuclear charge $Z$ approaches $Z_{\rm c}$. This study provides insights into the electronic structure and stability of the two-electron system in the vicinity of the critical nuclear charge.

关键词: critical nuclear charge, two-electron atomic system, geometric structure, density distribution

Abstract: The geometric structure parameters and radial density distribution of 1s2s$\,^1$S excited state of the two-electron atomic system near the critical nuclear charge $Z_{\rm c}$ were calculated in detail under tripled Hylleraas basis set. Contrary to the localized behavior observed in the ground and the doubly excited 2p$^2\,^3{\rm P}^{\rm e}$ states, for this state our results identify that while the behavior of the inner electron increasingly resembles that of a hydrogen-like atomic system, the outer electron in the excited state exhibits diffused hydrogen-like character and becomes perpendicular to the inner electron as nuclear charge $Z$ approaches $Z_{\rm c}$. This study provides insights into the electronic structure and stability of the two-electron system in the vicinity of the critical nuclear charge.

Key words: critical nuclear charge, two-electron atomic system, geometric structure, density distribution

中图分类号:  (High-precision calculations for few-electron (or few-body) atomic systems)

  • 31.15.ac
31.15.ae (Electronic structure and bonding characteristics) 31.15.vj (Electron correlation calculations for atoms and ions: excited states)