Orbital Relaxation Effects in the Calculation of Aluminum Kα Absorptions
JIN Feng-Tao1,2, HUANG Tian-Xuan2, DING Yong-Kun2, ZHENG Zhi-Jian2, YUAN Jian-Min1
1Department of Physics, National University of Defense Technology, Changsha 4100732Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900
Orbital Relaxation Effects in the Calculation of Aluminum Kα Absorptions
JIN Feng-Tao1,2, HUANG Tian-Xuan2, DING Yong-Kun2, ZHENG Zhi-Jian2, YUAN Jian-Min1
1Department of Physics, National University of Defense Technology, Changsha 4100732Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900
摘要A recent experimental Kα transmission spectrum of an aluminum plasma is theoretically studied by a detailed level accounting model. It is found that the orbital relaxation effects of the K- and L-shell orbitals should be considered to calculate accurate line positions and strengths. To do this the initial and the final radial wave functions of Kα lines are respectively optimized by solving the full relativistic Dirac-Fock equation. Extensive configuration interaction calculations are performed to obtain the energy levels and the oscillator strengths. It is shown that both the line positions and the line strengths agree quite well with experiment when the orbital relaxations are considered.
Abstract：A recent experimental Kα transmission spectrum of an aluminum plasma is theoretically studied by a detailed level accounting model. It is found that the orbital relaxation effects of the K- and L-shell orbitals should be considered to calculate accurate line positions and strengths. To do this the initial and the final radial wave functions of Kα lines are respectively optimized by solving the full relativistic Dirac-Fock equation. Extensive configuration interaction calculations are performed to obtain the energy levels and the oscillator strengths. It is shown that both the line positions and the line strengths agree quite well with experiment when the orbital relaxations are considered.
JIN Feng-Tao;HUANG Tian-Xuan;DING Yong-Kun;ZHENG Zhi-Jian;YUAN Jian-Min. Orbital Relaxation Effects in the Calculation of Aluminum Kα Absorptions[J]. 中国物理快报, 2009, 26(5): 55203-055203.
JIN Feng-Tao, HUANG Tian-Xuan, DING Yong-Kun, ZHENG Zhi-Jian, YUAN Jian-Min. Orbital Relaxation Effects in the Calculation of Aluminum Kα Absorptions. Chin. Phys. Lett., 2009, 26(5): 55203-055203.
[1] Davidson J M, Foster J M, Smith C C et al 1988 Appl.Phys. Lett. 52 847 [2] Perry T S, Davidson S J, Serduke F J D et al 1991 Phys. Rev. Lett. 67 3784 [3] Perry T S, Springer P T, Fields D F et al 1996 Phys.Rev. E 54 5617 [4] Winhart G, Eidmann K, Iglesias C A et al 1996 Phys.Rev. E 53 R1332 [5] Abdallah J and Clark R E H 1991 J. Appl. Phys. 69 23 [6] Zeng J, Jin F, Yuan J et al 2000 Phys. Rev. E 62 7251 [7] Zeng J, Yuan J and Lu Q 2001 Phys. Rev. E 64066412 [8] Yang J, Zhang J, Ding Y et al 2003 Phys. Plasmas 10 4881 [9] Jin F, Zeng J and Yuan J 2004 Phys. Plasmas 114318 [10] MacFarlane J J, Bailey J E, Chandler G A et al 2002 Phys. Rev. E 66 046416 [11] Audebert P, Renaudin P, Bastiani-Ceccotti S et al 2005 Phys. Rev. Lett. 94 025004 [12] Xu Y, Zhang J, Yang J et al 2007 Phys. Plasmas 14 052701 [13] Xu X 1986 Introduction to Practical Theory of EOS(Beijing: Science Press) (in Chinese) [14] Stewart J C and Pyatt K D 1966 Astrophys. J 144 1203 [15] Dimitrijevic M S and Konjevic N 1987 Astron.Astrophys. 172 345 [16] Rose S J 1992 J. Phys. B 25 1667 [17] J\"{onsson P, He X, Fischer C F and Grant I P 2007 Comput. Phys. Commun. 177 597 [18] Grant I P 2007 Relativistic Quantum Theory of Atomsand Molecules (New York: Springer) [19] NIST data http://physics. nist.gov/asd3
2009, Vol. 26 
