The Scaling Law in the Fine-Structure Splitting of 1s 2 np States for the Lithium Isoelectronic Sequence
CAI Juan** , YU Wei-Wei** , ZHANG Nan
School of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029
Abstract :The 'full-core plus correlation' (FCPC) and the 'minimizing the expectation value of the Hamiltonian' methods are extended to calculate the fine-structure splitting of 1s 2 np (n =2–9) states for the lithium-like systems from Z =21 to 30. The leading order relativistic effect is included by using first-order perturbation theory. The higher-order relativistic and the quantum-electrodynamics contributions to the fine-structure splitting are investigated under a hydrogenic approximation with effective nuclear charges. Our results are compared with other theoretical calculations and experimental results. It is shown that the FCPC method is also effective to obtain the ionic structure for high nuclear ions of lithium-like systems. By fitting our theoretical results, the scaling law of the fine-structure splitting of the lithium isoelectronic sequence behaves like a quartic function of the screened nuclear charge Z* .
出版日期: 2014-08-22
:
31.10.+z
(Theory of electronic structure, electronic transitions, and chemical binding)
32.10.Fn
(Fine and hyperfine structure)
32.70.Cs
(Oscillator strengths, lifetimes, transition moments)
[1] Gillaspy J D 2001 J. Phys. B 34 R93 [2] Chung K T 1991 Phys. Rev. A 44 5421 [3] Chung K T 1992 Phys. Rev. A 45 7766 [4] Guan X X and Wang Z W 1998 Phys. Lett. A 244 120 [5] Qu L H, Wang Z W and Guan X X 1997 Chin. Phys. Lett. 14 732 [6] Wang Z W, Zhu X W and Chung K T 1992 Phys. Rev. A 46 6914 [7] Wang Z W, Zhu X W and Chung K T 1992 J. Phys. B 25 3915 [8] Wang Z W, Zhu X W and Chung K T 1993 Phys. Scr. 47 65 [9] Ge Z M, Wang Z W et al 2003 Chin. Phys. 12 488 [10] Ge Z M, Lu Z W, Wang Z W and Zhou Y J 2002 Acta Phys. Sin. 51 2733 (in Chinese) [11] Wang Z W, Yang D, Hu M H et al 2005 Chin. Phys. 14 1559 [12] Hu M H and Wang Z W 2005 Chin. Phys. Lett. 22 1089 [13] Wang Z W, Li X R and Hu M H et al 2008 J. At. Mol. Phys. 25 250 (in Chinese) [14] Hu M H and Wang Z W 2008 Chin. Phys. B 17 908 [15] Ge Z M, Lu Z W, Wang Z W and Zhou Y J 2005 Acta Phys. Sin. 53 42 (in Chinese) [16] Yu W W, Wang Z W et al 2012 Chin. Phys. B 21 073102 [17] Wang Z W 2001 J. Liaoning Normal University (Nat. Sci. Ed.) L24 126 [18] Hu M H and Wang Z W 2004 Chin. Phys. 13 662 [19] Yan Z C and Drake G W F 1997 Phys. Rev. Lett. 79 1646 [20] Bethe H A and Salpeter E E 1957 Quantum Mechanics of One-and Two-electon Atoms (Berlin: Springer-Verlag) p 103 [21] Wang Z W, Liu Y, Hu M H, Li X R and Wang Y N 2008 J. At. Mol. Phys. 25 13 (in Chinese) [22] Drake G W and Swainson R A 1990 Phys. Rev. A 41 1243 [23] Chung K T, Zhu X W and Wang Z W 1993 Phys. Rev. A 47 1740 [24] Cohen E R and Taylor B N 1990 Phys. Today 43 9 [25] Vainshtrin L A and Safronova U I 1985 Phys. Scr. 31 519 [26] Indelicato P and Desclaux J P 1990 Phys. Rev. A 42 5139 [27] Sugar J and Corliss C 1985 Phys. Chem. Ref. Data 14 (Suppl. 2) 664
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