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Chin. Phys. B, 2024, Vol. 33(10): 103101    DOI: 10.1088/1674-1056/ad6422
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

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 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
Abstract  The geometric structure parameters and radial density distribution of 1s2s1S excited state of the two-electron atomic system near the critical nuclear charge Zc were calculated in detail under tripled Hylleraas basis set. Contrary to the localized behavior observed in the ground and the doubly excited 2p23Pe 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 Zc. This study provides insights into the electronic structure and stability of the two-electron system in the vicinity of the critical nuclear charge.
Keywords:  critical nuclear charge      two-electron atomic system      geometric structure      density distribution  
Received:  26 May 2024      Revised:  12 July 2024      Accepted manuscript online:  17 July 2024
PACS:  31.15.ac (High-precision calculations for few-electron (or few-body) atomic systems)  
  31.15.ae (Electronic structure and bonding characteristics)  
  31.15.vj (Electron correlation calculations for atoms and ions: excited states)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12074295, 12304271, and 12104420).
Corresponding Authors:  Sanjiang Yang, Haoxue Qiao     E-mail:  sjyang@hbnu.edu.cn;qhx@whu.edu.cn

Cite this article: 

Tong Chen(陈彤), Sanjiang Yang(杨三江), Wanping Zhou(周挽平), Xuesong Mei(梅雪松), and Haoxue Qiao(乔豪学) Geometric properties of the first singlet S-wave excited state of two-electron atoms near the critical nuclear charge 2024 Chin. Phys. B 33 103101

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