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.
|Number of pages||10|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - Jul 2012|
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. . https://doi.org/10.1103/PhysRevA.86.012505