Please wait a minute...
Chin. Phys. B, 2015, Vol. 24(3): 033101    DOI: 10.1088/1674-1056/24/3/033101
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

Precision calculation of fine structure in helium and Li+

Zhang Pei-Pei (张佩佩)a b, Zhong Zhen-Xiang (钟振祥)a, Yan Zong-Chao (严宗朝)a c, Shi Ting-Yun (史庭云)a
a Division of Theoretical and Interdisciplinary Research, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, and Center for Cold Atom Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;
b University of Chinese Academy of Sciences, Beijing 100049, China;
c Department of Physics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3, Canada
Abstract  

The fine structure constant α can be extracted from high-precision spectroscopy of the 23PJ fine structure splittings in helium and light helium-like ions. In this work, the 23PJ fine structure splittings of helium and Li+ ion are calculated, including relativistic and QED corrections of order mα4, mα4(m/M), mα5, mα5(m/M), and Douglas-Kroll operators of mα6 and mα6(m/M), which provide an independent verification for the previous calculations performed by Drake [Can. J. Phys. 80 1195 (2002)] and by Pachucki and Yerokhin [Phys. Rev. A 79 062516 (2009); Phys. Rev. Lett. 104 070403 (2010); Can. J. Phys. 89 1139 (2011)]. The results of the three groups agree with each other.

Keywords:  fine structure      helium      Li+ ion      QED theory  
Received:  24 April 2014      Revised:  23 June 2014      Accepted manuscript online: 
PACS:  31.15.ac (High-precision calculations for few-electron (or few-body) atomic systems)  
  37.10.De (Atom cooling methods)  
  31.15.ap (Polarizabilities and other atomic and molecular properties)  
  31.15.bw (Coupled-cluster theory)  
Fund: 

Project supported by the National Basic Research Program of China (Grant No. 2010CB832803).

Corresponding Authors:  Zhong Zhen-Xiang     E-mail:  zxzhong@wipm.ac.cn

Cite this article: 

Zhang Pei-Pei (张佩佩), Zhong Zhen-Xiang (钟振祥), Yan Zong-Chao (严宗朝), Shi Ting-Yun (史庭云) Precision calculation of fine structure in helium and Li+ 2015 Chin. Phys. B 24 033101

[1] Schwartz C 1964 Phys. Rev. 134 A1181
[2] Douglas M H and Kroll N M 1974 Ann. Phys. 82 89
[3] Hambro L 1972 Phys. Rev. A 5 2027
[5] Hambro L 1973 Phys. Rev. A 7 479
[6] Lewis M L and Serafino P H 1978 Phys. Rev. A 18 867
[7] Yan Z C and Drake G W F 1994 Can. J. Phys. 72 822
[8] Yan Z C and Drake G W F 1995 Phys. Rev. Lett. 74 4791
[9] Yan Z C 1994 Order α^6mc^2 Contributions to the Fine Structure Splittings of Helium and Helium-like Ions (Ph.D. Thesis) (Windsor: University of Windsor)
[10] Zhang T 1996 Phys. Rev. A 53 3896
[11] Zhang T 1996 Phys. Rev. A 54 1252
[12] Zhang T and Drake G W F 1996 Phys. Rev. A 54 4882
[13] Zhang T, Yan Z C and Drake G W F 1996 Phys. Rev. Lett. 77 1715
[14] Pachucki K and Sapirstein J 2000 J. Phys. B: At. Mol. Opt. Phys. 33 5297
[15] Drake G W F 2002 Can. J. Phys. 80 1195
[16] Minardi F, Bianchini G, Pastor P C, Giusfredi G, Pavone F S and Inguscio M 1999 Phys. Rev. Lett. 82 1112
[17] Castillega J, Livingston D and Hessels E A 2000 Phys. Rev. Lett. 84 4321
[18] Storry C H, George M C and Hessels E A 2000 Phys. Rev. Lett. 84 3274
[19] George M C, Lombardi L D and Hessels E A 2001 Phys. Rev. Lett. 87 173002
[20] Pachucki K and Sapirstein J 2002 J. Phys. B: At. Mol. Opt. Phys. 35 1783
[21] Pachucki K and Sapirstein J 2003 J. Phys. B: At. Mol. Opt. Phys. 36 803
[22] Pachucki K 2006 Phys. Rev. Lett. 97 013002
[23] Zelevinsky T, Farkas D and Gabrielse G 2005 Phys. Rev. Lett. 95 203001
[24] Giusfredi G, Cancio Pastor P, De Natale P, Mazzotti D, de Mauro C, Fallani L, Hagel G, Krachmalnicoff V and Inguscio M 2005 Can. J. Phys. 83 301
[25] Pachucki K and Yerokhin V A 2010 Phys. Rev. Lett. 104 070403
[26] Borbely J S, George M C, Lombardi L D, Weel M, Fitzakerley D W and Hessels E A 2009 Phys. Rev. A 79 060503(R)
[27] Smiciklas M and Shiner D 2010 Phys. Rev. Lett. 105 123001
[28] Rong H, Grafström S, Kowalski J, zu Putlitz G, Jastrezebski W and Neumann R 1993 Z. Phys. D 25 337
[29] Riis E, Sinclair A G, Poulsen O, Drake G W F, Rowley W R C and Levick A P 1994 Phys. Rev. A 49 207
[30] Clarke J J and van Wijngaarden W A 2003 Phys. Rev. A 67 012506
[31] van Wijngaarden W A and Noble G A 2008 Lect. Notes Phys. 745 111
[32] Qing B, Chen S H, Gao X and Li J M 2008 Chin. Phys. Lett. 25 2448
[33] Duan Y S, Liu Y X and Zhang L J 2004 Chin. Phys. Lett. 21 1714
[34] Korobov V I 2000 Phys. Rev. A 61 064503
[35] Bethe H A and Salpeter E E 1957 Quantum Mechanics of One- and Two-electron Atoms (Berlin: Springer-Verlag OHG) p. 181
[36] Pachucki K 1999 J. Phys. B 32 137
[37] Daley J, Douglas M, Hambro L and Kroll N M 1972 Phys. Rev. Lett. 29 12
[38] Pachucki K and Yerokhin V A 2009 Phys. Rev. A 79 062516
[39] Pachucki K and Yerokhin V A 2011 Can. J. Phys. 89 1139
[40] Pachucki K and Yerokhin V A 2011 J. Phys. Conf. Ser. 264 012007
[41] Mohr P J, Taylor B N and Newell D B 2012 Rev. Mod. Phys. 84 1527
[1] Spin pumping by higher-order dipole-exchange spin-wave modes
Peng Wang(王鹏). Chin. Phys. B, 2023, 32(3): 037601.
[2] Fine and hyperfine structures of pionic helium atoms
Zhi-Da Bai(白志达), Zhen-Xiang Zhong(钟振祥), Zong-Chao Yan(严宗朝), and Ting-Yun Shi(史庭云). Chin. Phys. B, 2023, 32(2): 023601.
[3] Helium bubble formation and evolution in NiMo-Y2O3 alloy under He ion irradiation
Awen Liu(刘阿文), Hefei Huang(黄鹤飞), Jizhao Liu(刘继召), Zhenbo Zhu(朱振博), and Yan Li(李燕). Chin. Phys. B, 2022, 31(4): 046102.
[4] Spatial characteristics of nanosecond pulsed micro-discharges in atmospheric pressure He/H2O mixture by optical emission spectroscopy
Chuanjie Chen(陈传杰), Zhongqing Fang(方忠庆), Xiaofang Yang(杨晓芳), Yongsheng Fan(樊永胜), Feng Zhou(周锋), and Rugang Wang(王如刚). Chin. Phys. B, 2022, 31(2): 025204.
[5] Development of a cryogen-free dilution refrigerator
Zhongqing Ji(姬忠庆), Jie Fan(樊洁), Jing Dong(董靖), Yongbo Bian(边勇波), and Zhi-Gang Cheng(程智刚). Chin. Phys. B, 2022, 31(12): 120703.
[6] Evolution of helium bubbles in nickel-based alloy by post-implantation annealing
Rui Zhu(朱睿), Qin Zhou(周钦), Li Shi(史力), Li-Bin Sun(孙立斌), Xin-Xin Wu(吴莘馨), Sha-Sha Lv(吕沙沙), and Zheng-Cao Li(李正操). Chin. Phys. B, 2021, 30(8): 086102.
[7] Helium-hydrogen synergistic effects on swelling in in-situ multiple-ion beams irradiated steels
Haocheng Liu(刘昊成), Jia Huang(黄嘉), Liuxuan Cao(曹留煊), Yue Su(苏悦), Zhiying Gao(高智颖), Pengfei Ma(马鹏飞), Songqin Xia(夏松钦), Wei Ge(葛伟), Qingyuan Liu(刘清元), Shuang Zhao(赵双), Yugang Wang(王宇钢), Jinchi Huang(黄金池), Zhehui Zhou(周哲辉), Pengfei Zheng(郑鹏飞), and Chenxu Wang(王晨旭). Chin. Phys. B, 2021, 30(8): 086106.
[8] Influence of helium on the evolution of irradiation-induced defects in tungsten: An object kinetic Monte Carlo simulation
Peng-Wei Hou(侯鹏伟), Yu-Hao Li(李宇浩), Zhong-Zhu Li(李中柱), Li-Fang Wang(王丽芳), Xingyu Gao(高兴誉), Hong-Bo Zhou(周洪波), Haifeng Song(宋海峰), and Guang-Hong Lu(吕广宏). Chin. Phys. B, 2021, 30(8): 086108.
[9] In-situ TEM observation of the evolution of helium bubbles in Mo during He+ irradiation and post-irradiation annealing
Yi-Peng Li(李奕鹏), Guang Ran(冉广), Xin-Yi Liu(刘歆翌), Xi Qiu(邱玺), Qing Han(韩晴), Wen-Jie Li(李文杰), and Yi-Jia Guo(郭熠佳). Chin. Phys. B, 2021, 30(8): 086109.
[10] HeTDSE: A GPU based program to solve the full-dimensional time-dependent Schrödinger equation for two-electron helium subjected to strong laser fields
Xi Zhao(赵曦), Gangtai Zhang(张刚台), Tingting Bai(白婷婷), Jun Wang(王俊), and Wei-Wei Yu(于伟威). Chin. Phys. B, 2021, 30(7): 073201.
[11] First principles study of behavior of helium at Fe(110)-graphene interface
Yan-Mei Jing(荆艳梅) and Shao-Song Huang(黄绍松). Chin. Phys. B, 2021, 30(4): 046802.
[12] Hyperfine structures and the field effects of IBr molecule in its rovibronic ground state
Defu Wang(王得富), Xuping Shao(邵旭萍), Yunxia Huang(黄云霞), Chuanliang Li(李传亮), and Xiaohua Yang(杨晓华). Chin. Phys. B, 2021, 30(11): 113301.
[13] Size effect of He clusters on the interactions with self-interstitial tungsten atoms at different temperatures
Jinlong Wang(王金龙), Wenqiang Dang(党文强), Daping Liu(刘大平), Zhichao Guo(郭志超). Chin. Phys. B, 2020, 29(9): 093101.
[14] Laser-assisted XUV double ionization of helium atoms: Intensity dependence of joint angular distributions
Fengzheng Zhu(朱风筝), Genliang Li(黎根亮), Aihua Liu(刘爱华). Chin. Phys. B, 2020, 29(7): 073202.
[15] Simulation of helium supersonic molecular beam injection in tokamak plasma
Xue-Ke Wu(吴雪科), Zhan-Hui Wang(王占辉), Hui-Dong Li(李会东), Li-Ming Shi(石黎铭), Di Wan(万迪), Qun-Chao Fan(樊群超), Min Xu(许敏). Chin. Phys. B, 2020, 29(6): 065201.
No Suggested Reading articles found!