铥原子收敛于4f13(2F7/2o)6s(7/2,1/2)4o和4f13(2F7/2o)6s(7/2,1/2)3o偶宇称里德伯系列能级的电子关联效应

本文在多通道量子亏损理论框架下，利用相对论多通道理论，计算了铥原子收敛于4f¹³（²F_7/2^o）6s（7/2，1/2）₄^o和4f¹³（²F_7/2^o）6s（7/2，1/2）₃^o的三个偶宇称里德伯系列.通过将计算结果与美国国家标准与技术研究院数据进行比较，展示了两种类型的电子关联效应：1）里德伯系列之间的相互作用，导致里德伯系列的能级出现整体偏移；2）一个孤立的干扰态镶嵌在一个里德伯系列中，破坏了该里德伯系列能级的规则性.

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

In the frame work of multi-channel quantum defect theory (MQDT), the energy levels of three even Rydberg series 4f¹³(²F_7/2^o)6s(7/2, 1/2)₄^onp_3/2, 4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^onp_3/2 and 4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^onp_1/2 converging to 4f¹³(²F_7/2^o)6s(7/2, 1/2)₄^o or 4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^o 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(²F_7/2^o)6s(7/2, 1/2)₄^onp_3/2 Rydberg series from NIST is reassigned as 4f¹³(²F_7/2^o)6s(7/2, 1/2)₄^onf_5/2, J^π=(5/2)⁺, 4f¹³(²F_7/2^o)6s(7/2, 1/2)₄^onf_5/2, J^π=(7/2)⁺ and/or 4f¹³(²F_7/2^o)6s(7/2, 1/2)₄^onp_1/2, J^π=(9/2)⁺ Rydberg series, and the difference between experimental and calculated quantum defects is generally better than 0.1; 2)4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^onp_3/2 Rydberg series from NIST is reassigned as 4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^onf_7/2, J^π=(5/2)⁺, 4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^onf_7/2, J^π=(7/2)⁺ and/or 4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^onf_{5/2, 7/2}, J^π=(9/2)⁺ Rydberg series, and the difference between experimental and calculated quantum defects is generally better than 0.05. As for the 4f¹³(²F_7/2^o)6s(7/2, 1/2)₃^onp_1/2 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 d_5/26s², J=7/2 and the total angular momentum for the Rydberg series is J=7/2.