Geometric quantities of lower doubly excited bound states of helium
Chengdong Zhou(周成栋)1, Yuewu Yu(余岳武)1, Sanjiang Yang(杨三江)2,†, 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
Abstract Expectation values of single electron and interelectronic geometric quantities such as , , , , and are calculated for doubly excited and states of helium using Hylleraas--spline basis set. The energy levels converge to at least 10 significant digits in our calculations. The extrapolated values of geometric quantities except for reach 10 significant digits as well; reaches at least 7 significant digits using a multipole expansion approach. Our results provide a precise reference for future research.
(Calculations and mathematical techniques in atomic and molecular physics)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12074295). The authors thank Yongbo Tang for the meaningful discussion. The numerical calculations in this article were performed on the supercomputing system in the Supercomputing Center of Wuhan University.
Chengdong Zhou(周成栋), Yuewu Yu(余岳武), Sanjiang Yang(杨三江), and Haoxue Qiao(乔豪学) Geometric quantities of lower doubly excited bound states of helium 2022 Chin. Phys. B 31 030301
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