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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 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 |
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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.
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Received: 26 May 2024
Revised: 12 July 2024
Accepted manuscript online: 17 July 2024
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PACS:
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31.15.ac
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(High-precision calculations for few-electron (or few-body) atomic systems)
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31.15.ae
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(Electronic structure and bonding characteristics)
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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 Nos. 12074295, 12304271, and 12104420). |
Corresponding Authors:
Sanjiang Yang, Haoxue Qiao
E-mail: sjyang@hbnu.edu.cn;qhx@whu.edu.cn
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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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