Please wait a minute...
Chin. Phys. B, 2020, Vol. 29(3): 033101    DOI: 10.1088/1674-1056/ab6c51

Effects of electron correlation and the Breit interaction on one- and two-electron one-photon transitions in double K hole states of He-like ions (10≤Z≤47)

Xiaobin Ding(丁晓彬)1, Cunqiang Wu(吴存强)1, Mingxin Cao(曹铭欣)1, Denghong Zhang(张登红)1, Mingwu Zhang(张明武)2, Yingli Xue(薛迎利)2, Deyang Yu(于得洋)2, Chenzhong Dong(董晨钟)1
1 Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;
2 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Abstract  The x-ray energies and transition rates associated with single and double electron radiative transitions from the double K hole state 2s2p to the 1s2s and 1s2 configurations of 11 selected He-like ions (10≤Z≤47) are calculated using the fully relativistic multi-configuration Dirac-Fock method (MCDF). An appropriate electron correlation model is constructed with the aid of the active space method, which allows the electron correlation effects to be studied efficiently. The contributions of the electron correlation and the Breit interaction to the transition properties are analyzed in detail. It is found that the two-electron one-photon (TEOP) transition is correlation sensitive. The Breit interaction and electron correlation both contribute significantly to the radiative transition properties of the double K hole state of the He-like ions. Good agreement between the present calculation and previous work is achieved. The calculated data will be helpful to future investigations on double K hole decay processes of He-like ions.
Keywords:  electron correlation      multi-configuration Dirac-Fock method (MCDF)      double K hole state      two-electron one-photon (TEOP) transition  
Received:  31 December 2019      Revised:  14 January 2020      Accepted manuscript online: 
PACS:  31.15.vj (Electron correlation calculations for atoms and ions: excited states)  
  31.30.J- (Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions)  
  32.80.Aa (Inner-shell excitation and ionization)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. U1832126 and 11874051) and the National Key Research and Development Program of China (Grant No. 2017YFA0402300).
Corresponding Authors:  Xiaobin Ding     E-mail:

Cite this article: 

Xiaobin Ding(丁晓彬), Cunqiang Wu(吴存强), Mingxin Cao(曹铭欣), Denghong Zhang(张登红), Mingwu Zhang(张明武), Yingli Xue(薛迎利), Deyang Yu(于得洋), Chenzhong Dong(董晨钟) Effects of electron correlation and the Breit interaction on one- and two-electron one-photon transitions in double K hole states of He-like ions (10≤Z≤47) 2020 Chin. Phys. B 29 033101

[1] Hoogkamer T P, Woerlee P, Saris F W and Gavrila M 1976 J. Phys. B: At. Mol. Phys. 9 L145
[2] Briand J P 1976 Phys. Rev. Lett. 37 59
[3] Nagel D J, Burkhalter P G, Knudson A R and Hill K W 1976 Phys. Rev. Lett. 36 164
[4] Åberg T, Jamison K A and Richard P 1976 Phys. Rev. Lett. 37 63
[5] Stoller C, Wölfli W, Bonani G, Stckli M and Suter M 1976 Phys. Lett. A 58 18
[6] Safronova U I and Senashenko V S 1977 J. Phys. B: At. Mol. Phys. 10 L271
[7] Kumar A, Misra D, Thulasiram K, Tribedi L and Pradhan A 2006 Nucl. Instrum. Methods Phys. Res., Sect. B 248 247
[8] Hutton R, Beiersdorfer P, Osterheld A L, Marrs R E and Schneider M B 1991 Phys. Rev. A 44 1836
[9] Zou Y, Crespo López-Urrutia J R and Ullrich J 2003 Phys. Rev. A 67 042703
[10] Diamant R, Huotari S, Hämäläinen K, Kao C C and Deutsch M 2000 Phys. Rev. A 62 052519
[11] Boiko V A, Faenov A Y, Pikuz S A, Skobelev I Y, Vinogradov A V and Yukov E A 1977 J. Phys. B: At. Mol. Phys. 10 3387
[12] Andriamonje S, Andrä H J and Simionovici A 1991 Z. Phys. D-Atoms, Molecules and Clusters 21 S349
[13] Bitter M, von Goeler S, Cohen S, Hill K W, Sesnic S, Tenney F, Timberlake J, Safronova U I, Vainshtein L A, Dubau J, Loulergue M, BelyDubau F and Steenman-Clark L 1984 Phys. Rev. A 29 661
[14] Phillips K J H 2004 The Astrophysical Journal 605 921
[15] López-Urrutia J C, Artemyev A, Braun J, Brenner G, Bruhns H, DraganiI, Martínez A G, Lapierre A, Mironov V, Scofield J, Orts R S, Tawara H, Trinczek M, Tupytsin I and Ullrich J 2005 Nucl. Instrum. Methods Phys. Res., Sect. B 235 85
[16] Fennane K, Dousse J, Hoszowska J, Berset M, Cao W, Maillard Y, Szlachetko J, Szlachetko M and Kavčič M 2009 Phys. Rev. A 79 032708
[17] Chen M H 1991 Phys. Rev. A 44 239
[18] Natarajan A and Natarajan L 2008 J. Quant. Spectrosc. Radiat. Transfer 109 2281
[19] Inhester L, Burmeister C F, Groenhof G and Grubmüller H 2012 The Journal of Chemical Physics 136 144304
[20] Hoszowska J, Kheifets A K, Dousse J C, Berset M, Bray I, Cao W, Fennane K, Kayser Y, Kavčič M, Szlachetko J and Szlachetko M 2009 Phys. Rev. Lett. 102 073006
[21] Heisenberg W 1925 Zeitschrift für Physik 32 841
[22] Wölfli W, Stoller C, Bonani G, Suter M and Stöckli M 1975 Phys. Rev. Lett. 35 656
[23] Porquet D, Dubau J and Grosso N 2010 Space Sci. Rev. 157 103
[24] Decaux V, Beiersdorfer P, Kahn S M and Jacobs V L 1997 The Astrophysical Journal 482 1076
[25] Natarajan L and Natarajan A 2007 Phys. Rev. A 75 062502
[26] Natarajan L 2013 Phys. Rev. A 88 052522
[27] Natarajan L 2016 Phys. Rev. A 93 032516
[28] Lin C D, Johnson W R and Dalgarno A 1977 Phys. Rev. A 15 154
[29] Kadrekar R and Natarajan L 2011 Phys. Rev. A 84 062506
[30] Natarajan L and Kadrekar R 2013 Phys. Rev. A 88 012501
[31] Natarajan L 2014 Phys. Rev. A 90 032509
[32] Elton R, Cobble J, Griem H, Montgomery D, Mancini R, Jacobs V and Behar E 2000 J. Quant. Spectrosc. Radiat. Transfer 65 185
[33] Trabert E, Fawcett B C and Silver J D 1982 J. Phys. B: At. Mol. Phys. 15 3587
[34] Schäffer H W, Dunford R W, Kanter E P, Cheng S, Curtis L J, Livingston A E and Mokler P H 1999 Phys. Rev. A 59 245
[35] Tawara H and Richard P 2002 Can. J. Phys. 80 1579
[36] Kadrekar R and Natarajan L 2010 J. Phys. B: At., Mol. Opt. Phys. 43 155001
[37] Li J, Jnsson P, Dong C and Gaigalas G 2010 J. Phys. B: At., Mol. Opt. Phys. 43 035005
[38] Jönsson P, He X, Fischer C F and Grant I P 2007 Comput. Phys. Commun. 177 597
[39] Ding X B, Koike F, Murakami I, Kato D, Sakaue H A, Dong C Z, Nakamura N, Komatsu A and Sakoda J 2011 J. Phys. B: At. Mol. Opt. Phys. 44 145004
[40] Ding X, Sun R, Koike F, Kato D, Murakami I, Sakaue H A and Dong C 2017 Eur. Phys. J. D 71 73
[41] Aggarwal K M and Keenan F P 2016 At. Data Nucl. Data Tables 111-112 187-279
[42] Liu J P, Li C B and Zou H X 2017 Chin. Phys. B 26 103201
[43] Feng H, Jia-Min Y, Chuan-Ke W, Ji-Yan Z, Gang J and Zheng-He Z 2011 Acta Phys. Sin. 60 103104 (in Chinese)
[44] Grant I P 2007 Relativistic Quantum Theory of Atoms and Molecules, Theory and Computation (New York: Springer)
[45] Grant I P, McKenzie B J, Norrington P H, Mayers D F and Pyper N C 1980 Comput. Phys. Commun. 21 207
[46] Desclaux J P 1975 Comput. Phys. Commun. 9 31
[47] Dyall K G, Grant I P, Johnson C T, Parpia F A and Plummer E P 1989 Comput. Phys. Commun. 55 425
[48] Parpia F A, Fischer C F and Grant I P 1996 Comput. Phys. Commun. 94 249
[49] Goryaev F, Vainshtein L and Urnov A 2017 At. Data Nucl. Data Tables 113 117
[50] Mosnier J P, Barchewitz R, Cukier M, Dei-Cas R, Senemaud C and Bruneau J 1986 J. Phys. B: At. Mol. Phys. 19 2531
[51] Nandi T 2008 The Astrophysical Journal 673 L103
[1] Atomic structure and collision dynamics with highly charged ions
Xinwen Ma(马新文), Shaofeng Zhang(张少锋), Weiqiang Wen(汶伟强), Zhongkui Huang(黄忠魁), Zhimin Hu(胡智民), Dalong Guo(郭大龙), Junwen Gao(高俊文), Bennaceur Najjari, Shenyue Xu(许慎跃), Shuncheng Yan(闫顺成), Ke Yao(姚科), Ruitian Zhang(张瑞田), Yong Gao(高永), and Xiaolong Zhu(朱小龙). Chin. Phys. B, 2022, 31(9): 093401.
[2] 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.
[3] A review of experimental advances in twisted graphene moirè superlattice
Yanbang Chu(褚衍邦), Le Liu(刘乐), Yalong Yuan(袁亚龙), Cheng Shen(沈成), Rong Yang(杨蓉), Dongxia Shi(时东霞), Wei Yang(杨威), and Guangyu Zhang(张广宇). Chin. Phys. B, 2020, 29(12): 128104.
[4] Equivalent electron correlations in nonsequential double ionization of noble atoms
Shansi Dong(董善思), Qiujing Han(韩秋静), Jingtao Zhang(张敬涛). Chin. Phys. B, 2017, 26(2): 023202.
[5] Effect of disorder on exciton dissociation in conjugated polymers
Yuwen Feng(冯誉雯), Hui Zhao(赵晖), Yuguang Chen(陈宇光), Yonghong Yan(鄢永红). Chin. Phys. B, 2017, 26(10): 107103.
[6] Two-photon double ionization of helium by chirped few-cycle attosecond pulses: From nonsequential to sequential regime
Yao Tong(童瑶), Wei-Chao Jiang(姜维超), Pan Wu(伍攀), Liang-You Peng(彭良友). Chin. Phys. B, 2016, 25(7): 073202.
[7] Compton profile of molecular hydrogen
Zhao Xiao-Li (赵小利), Yang Ke (杨科), Xu Long-Quan (徐龙泉), Ma Yong-Peng (马永朋), Yan Shuai (闫帅), Ni Dong-Dong (倪冬冬), Kang Xu (康旭), Liu Ya-Wei (刘亚伟), Zhu Lin-Fan (朱林繁). Chin. Phys. B, 2015, 24(3): 033301.
[8] Electron correlation in fast ion-impact single ionization of helium atoms
E. Ghanbari-Adivi, S. Eskandari. Chin. Phys. B, 2015, 24(1): 013401.
[9] Nonsequential double ionization of diatomic molecules by elliptically polarized laser pulses
Tong Ai-Hong (童爱红), Liu Dan (刘丹), Feng Guo-Qiang (冯国强). Chin. Phys. B, 2014, 23(10): 103302.
[10] Effect of electron correlation on high-order harmonic generation in helium model atom
Hu Shi-Lin (胡师林), Shi Ting-Yun (史庭云). Chin. Phys. B, 2013, 22(1): 013101.
[11] Electron correlations in nonsequential double ionization of argon atoms by elliptically polarized laser pulses
Yu Ben-Hai (余本海), Li Ying-Bin (李盈傧), Tang Qing-Bin (汤清彬). Chin. Phys. B, 2013, 22(1): 013206.
[12] Relativistic multichannel treatment of autoionization Rydberg series of 4s2 nf(n=4--23)J$\pi$=(7/2)0 for scandium
Jia Feng-Dong(贾凤东), Wang Jing-Yang(王京阳), and Zhong Zhi-Ping(钟志萍). Chin. Phys. B, 2008, 17(6): 2027-2032.
[13] Experimental and calculated momentum densities for the complete valence orbitals of the antimicrobial agent diacetyl
Su Guo-Lin (苏国林), Ren Xue-Guang (任雪光), Zhang Shu-Feng (张书锋), Ning Chuan-Gang (宁传刚), Zhou Hui (周晖), Li Bin (李彬), Li Gui-Qin (李桂琴), Deng Jing-Kang (邓景康). Chin. Phys. B, 2005, 14(10): 1966-1973.
[14] Near threshold photodetachment cross section of negative atomic oxygen ions
Wu Jian-Hua (吴建华), Yuan Jian-Min (袁建民), Vo Ky Lan. Chin. Phys. B, 2003, 12(12): 1390-1394.
No Suggested Reading articles found!