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

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

The static quadrupole polarizabilities for hydrogen-like ions from Z = 1 to Z = 100 in the 1S sub(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]...

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Veröffentlicht in:Chinese physics letters 2012-06, Vol.29 (6), p.63101-1-063101-4
Hauptverfasser: Zhang, Yong-Hu, Tang, Li-Yan, Zhang, Xian-Zhou, Shi, Ting-Yun, Mitroy, Jim
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Dirac equation
Galerkin methods
Ground state
Mathematical analysis
Oscillator strengths
Quadrupoles
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Zusammenfassung:The static quadrupole polarizabilities for hydrogen-like ions from Z = 1 to Z = 100 in the 1S sub(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 [Sigma] sub(n)fu(2)i sub(gn) is computed to be zero to a very high degree of precision.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/29/6/063101