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 1991 Phys. Rev. A 44 5421 1992 Phys. Rev. A 45 7766 1998 Phys. Lett. A 244 120 1997 Chin. Phys. Lett. 14 732 1992 Phys. Rev. A 46 6914 1992 J. Phys. B 25 3915 1993 Phys. Scr. 47 65 2003 Chin. Phys. 12 488 Acta Phys. Sin. 51 2733 (in Chinese)2005 Chin. Phys. 14 1559 2005 Chin. Phys. Lett. 22 1089 J. At. Mol. Phys. 25 250 (in Chinese)2008 Chin. Phys. B 17 908 Acta Phys. Sin. 53 42 (in Chinese)2012 Chin. Phys. B 21 073102 J. Liaoning Normal University (Nat. Sci. Ed.) L24 1262004 Chin. Phys. 13 662 1997 Phys. Rev. Lett. 79 1646 Quantum Mechanics of One-and Two-electon Atoms (Berlin: Springer-Verlag) p 103J. At. Mol. Phys. 25 13 (in Chinese)1990 Phys. Rev. A 41 1243 1993 Phys. Rev. A 47 1740 Phys. Today 43 91985 Phys. Scr. 31 519 1990 Phys. Rev. A 42 5139 Phys. Chem. Ref. Data 14 (Suppl. 2) 664
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2014, Vol. 31 
