Relativistic Quadrupole Polarizability for the Ground State of Hydrogen-Like Ions

doi:10.1088/0256-307X/29/6/063101

Chin. Phys. Lett.

2012, Vol. 29

Issue (6): 063101 DOI: 10.1088/0256-307X/29/6/063101

ATOMIC AND MOLECULAR PHYSICS

Relativistic Quadrupole Polarizability for the Ground State of Hydrogen-Like Ions

ZHANG Yong-Hui^1,2, TANG Li-Yan^2**, ZHANG Xian-Zhou¹, SHI Ting-Yun², Jim Mitroy³

¹Department of Physics, Henan Normal University, Xinxiang 453007
²State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
³School of Engineering, Charles Darwin University, Darwin NT 0909, Australia

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ZHANG Yong-Hui, TANG Li-Yan, ZHANG Xian-Zhou et al 2012 Chin. Phys. Lett. 29 063101

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Abstract The static quadrupole polarizabilities for hydrogen-like ions from Z=1 to Z=100 in the 1S_1/2 ground state are calculated to high precision by solving the Dirac equation using the B-spline Galerkin method. The results are consistent with the expression of Kaneko [J. Phys. B 10 (1977) 3347] at low Z. The quadrupole oscillator strength sum ∑_n f_gn⁽²⁾ is computed to be zero to a very high degree of precision.

Keywords: 31.15.Ap 31.15.Ac 32.10.DK

Received: 05 March 2012 Published: 31 May 2012

PACS:	31.15.ap	(Polarizabilities and other atomic and molecular properties)
	31.15.ac	(High-precision calculations for few-electron (or few-body) atomic systems)
	32.10.Dk	(Electric and magnetic moments, polarizabilities)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/6/063101 OR https://cpl.iphy.ac.cn/Y2012/V29/I6/063101

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	ZHANG Yong-Hui
	TANG Li-Yan
	ZHANG Xian-Zhou
	SHI Ting-Yun
	Jim Mitroy

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[2] Kang S, Liu Q, Zhong Z X and Shi T Y 2006 Acta Phys. Sin. 55 3380 (in Chinese)
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[4] Johnson W R, Blundell S A and Sapirstein J 1988 Phys. Rev. A 37 307
[5] Beloy K and Derevianko A 2008 Comput. Phys. Commun. 179 310
[6] Fischer C F and Zatsarinny O 2009 Comput. Phys. Commun. 180 879
[7] NIST 2010 Latest values of the constants http://physics.nist.gov/cuu/Constants
[8] Amaro P, Surzhykov A, Parente F, Indelicato P and Santos J P 2011 J. Phys. A 44 245302
[9] Sapirstein J and Johnson W R 1996 J. Phys. B 29 5213
[10] Goldman S P 1989 Phys. Rev. A 39 976
[11] Szmytkowski R 1997 J. Phys. B 30 825
[12] Szmytkowski R 1997 J. Phys. B 30 2747
[13] Drake G W F and Goldman S P 1981 Phys. Rev. A 23 2093

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