### 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 language | English |
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Article number | 012505 |

Pages (from-to) | 1-10 |

Number of pages | 10 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 86 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 2012 |

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## Cite this

Tang, L-Y., Zhang, Y-H., Zhang, X-Z., Jiang, J., & Mitroy, J. (2012). Computational investigation of static multipole polarizabilities and sum rules for ground-state hydrogenlike ions.

*Physical Review A - Atomic, Molecular, and Optical Physics*,*86*(1), 1-10. [012505]. https://doi.org/10.1103/PhysRevA.86.012505