Computational investigation of static multipole polarizabilities and sum rules for ground-state hydrogenlike ions

Li-Yan Tang, Yong-Hui Zhang, Xian-Zhou Zhang, Jun Jiang, James Mitroy

    Research output: Contribution to journalArticle

    Abstract

    High-precision multipole polarizabilities, αℓ for ℓ≤4 of the 1s ground state of the hydrogen isoelectronic series, are obtained from the Dirac equation using the B-spline method with Notre Dame boundary conditions. Compact analytic expressions for the polarizabilities as a function of Z with a relative accuracy of 10−6 up to Z=100 are determined by fitting to the calculated polarizabilities. The oscillator strengths satisfy the sum rules ∑if(ℓ)gi=0 for all multipoles from ℓ=1 to ℓ=4. The dispersion coefficients for the long-range H-H and H-He+ interactions are given.
    Original languageEnglish
    Article number012505
    Pages (from-to)1-10
    Number of pages10
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume86
    Issue number1
    DOIs
    Publication statusPublished - Jul 2012

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