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

张典承; 张颍; 李晓康; 贾凤东; 李若虹; 钟志萍

doi:10.7498/aps.67.20180797

摘要

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（2F7/2o）6s（7/2，1/2）4o和4f13（2F7/2o）6s（7/2，1/2）3o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.

关键词:

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:

作者及机构信息

1.
中国科学院大学物理科学学院, 北京 100049;

2.
卑诗大学核子研究所, 温哥华, 不列颠哥伦比亚省, 加拿大 V6T 2A3;

3.
中国科学院"拓扑量子计算"卓越中心, 北京 100049

通信作者: 钟志萍, zpzhong@ucas.ac.cn

基金项目: 国家重点研发计划（批准号：2017YFA0402300，2017YFA0304900）、国家自然科学基金（批准号：11604334）和中国科学院先导项目（批准号：XDPB08-3）资助的课题.

Authors and contacts

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

Corresponding author: Zhong Zhi-Ping, zpzhong@ucas.ac.cn

Funds: 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).

参考文献

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[10]	Fano U 1970 Phys. Rev. A 2 353
[11]	Seaton M J 1983 Rep. Prog. Phys. 46 167
[12]	Greene C, Fano U, Strinati G 1979 Phys. Rev. A 19 1485
[13]	Lee C M, Johnson W R 1980 Phys. Scr. A 21 409
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[17]	Xia D, Li J M 2001 Chin. Phys. Lett. 18 1334
[18]	Zou Y, Tong X M, Li J M 1995 Acta Phys. Sin. 44 50 (in Chinese) [邹宇, 仝晓民, 李家明 1995 44 50]
[19]	Huang W, Zou Y, Tong X M, Li J M 1995 Phys. Rev. A 52 2770
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施引文献

[1]	Fano U 1961 Phys. Rev. 124 1866
[2]	Bolle K J, Imamoglu A, Harris S E 1991 Phys. Rev. Lett. 66 2593
[3]	Fleischhauer M, Imamoglu A, Marangos J P 2005 Rev. Mod. Phys. 77 633
[4]	Ott C, Kaldun A, Raith P, Meyer K, Laux M, Evers J, Keitel C H, Greene C H, Pfeifer T 2013 Science 340 716
[5]	Limonov M F, Rybin M V, Poddubny A N, Kivshar Y S 2017 Nat. Photon. 11 543
[6]	Jia F D, Zhong Z P, Sun W, Xue P, Xu X Y 2009 Phys. Rev. A 79 032505
[7]	L S F, Li R, Jia F D, Li X K, Lassen J, Zhong Z P 2017 Chin. Phys. Lett. 34 073101
[8]	Li R, Lassen J, Zhong Z P, Jia F D, Mostamand M, Li X K, Reich B B, Teigelhfer A, Yan H 2017 Phys. Rev. A 95 052501
[9]	Lee C M, Lu K T 1973 Phys. Rev. A 8 1241
[10]	Fano U 1970 Phys. Rev. A 2 353
[11]	Seaton M J 1983 Rep. Prog. Phys. 46 167
[12]	Greene C, Fano U, Strinati G 1979 Phys. Rev. A 19 1485
[13]	Lee C M, Johnson W R 1980 Phys. Scr. A 21 409
[14]	Li J M 1983 Acta Phys. Sin. 32 84 (in Chinese) [李家明 1983 32 84]
[15]	Li J M 1980 Acta Phys. Sin. 29 419 (in Chinese) [李家明 1980 29 419]
[16]	Yan J, Zhang P H, Tong X M, Li J M 1996 Acta Phys. Sin. 45 1978 (in Chinese) [颜君, 张培鸿, 仝晓民, 李家明 1996 45 1978]
[17]	Xia D, Li J M 2001 Chin. Phys. Lett. 18 1334
[18]	Zou Y, Tong X M, Li J M 1995 Acta Phys. Sin. 44 50 (in Chinese) [邹宇, 仝晓民, 李家明 1995 44 50]
[19]	Huang W, Zou Y, Tong X M, Li J M 1995 Phys. Rev. A 52 2770
[20]	Li J M, Wu Y J, Pratt R H 1989 Phys. Rev. A 40 3036
[21]	Xia D, Zhang S Z, Peng Y L, Li J M 2003 Chin. Phys. Lett. 20 56
[22]	Lee C M 1974 Phys. Rev. A 10 584
[23]	NIST Atomic Spectra Database (Ver. 5.5.6), Kramida A, Ralchenko Y, Reader J, NIST ASD Team https://physics.nist.gov/asd [2018-9-9]
[24]	Martin W C, Zalubas R, Hagan L 1978 Nat. Stand. Ref. Data Ser. 60 422
[25]	Sossah A M, Zhou H L, Manson S T 2008 Phys. Rev. A 78 053405
[26]	Shi Y L, Dong C Z 2009 Acta Phys. Sin. 58 2350 (in Chinese) [师应龙, 董晨钟 2009 58 2350]
[27]	Libermann D A, Comer D T, Waber J T 1971 Comput. Phys. Commun. 2 107

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