关键词: 相对论多通道理论/
多通道量子亏损理论/
里德伯系列
English Abstract
Electron correlation effects in even Rydberg series converging to 4f13(2F7/2o)6s(7/2, 1/2)4o and 4f13(2F7/2o)6s(7/2, 1/2)3o of thulium atom
Zhang Dian-Cheng1,Zhang Ying1,
Li Xiao-Kang1,
Jia Feng-Dong1,
R. Li2,
Zhong Zhi-Ping1,3
1.Collage of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
2.TRIUMF, University of British Columbia, Vancouver, British Columbia, Canada V6T 2A3;
3.Center of Excellence in Topological Quantum Computation, Chinese Academy of Sciences, Beijing 100049, China
Fund Project:Project Supported by the National Key Research and Development Program of China (Grant Nos. 2017YFA0402300, 2017YFA0304900), the National Natural Science Foundation of China (Grant No. 11604334), and the Key Research Program of the Chinese Academy of Sciences (Grant No. XDPB08-3).Received Date:24 April 2018
Accepted Date:18 June 2018
Published Online:20 September 2019
Abstract:In the frame work of multi-channel quantum defect theory (MQDT), the energy levels of three even Rydberg series 4f13(2F7/2o)6s(7/2, 1/2)4onp3/2, 4f13(2F7/2o)6s(7/2, 1/2)3onp3/2 and 4f13(2F7/2o)6s(7/2, 1/2)3onp1/2 converging to 4f13(2F7/2o)6s(7/2, 1/2)4o or 4f13(2F7/2o)6s(7/2, 1/2)3o of thulium atom are calculated by relativistic multi-channel theory. Compared with the experimental data from National Institute of Standards and Technology (NIST), the theoretical result shows two different types of electron-correlation effects: 1)the interaction between two Rydberg series results in energy shifts for these Rydberg series; 2)an isolated perturbed state is embedded in the energy range of a Rydberg series and interacts with the whole series, and breaks the regularity of the Rydberg series, and quantum defects show a large jump around the perturbed state. More specifically, by comparing the present calculated quantum defects with the experimental data, we reassign two Rydberg series: 1)4f13(2F7/2o)6s(7/2, 1/2)4onp3/2 Rydberg series from NIST is reassigned as 4f13(2F7/2o)6s(7/2, 1/2)4onf5/2, J=(5/2)+, 4f13(2F7/2o)6s(7/2, 1/2)4onf5/2, J=(7/2)+ and/or 4f13(2F7/2o)6s(7/2, 1/2)4onp1/2, J=(9/2)+ Rydberg series, and the difference between experimental and calculated quantum defects is generally better than 0.1; 2)4f13(2F7/2o)6s(7/2, 1/2)3onp3/2 Rydberg series from NIST is reassigned as 4f13(2F7/2o)6s(7/2, 1/2)3onf7/2, J=(5/2)+, 4f13(2F7/2o)6s(7/2, 1/2)3onf7/2, J=(7/2)+ and/or 4f13(2F7/2o)6s(7/2, 1/2)3onf5/2, 7/2, J=(9/2)+ Rydberg series, and the difference between experimental and calculated quantum defects is generally better than 0.05. As for the 4f13(2F7/2o)6s(7/2, 1/2)3onp1/2 Rydberg series from NIST, we find there is a perturbed state at about 49900 cm-1, and assign the perturbed state as 4f13(3F4)6 d5/26s2, J=7/2 and the total angular momentum for the Rydberg series is J=7/2.
Keywords: relativistic multi-channel theory/
multi-channel quantum defect theory/
Rydberg series