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

doi:10.1103/PhysRevA.86.012505

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 journal › Article › peer-review

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
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	https://doi.org/10.1103/PhysRevA.86.012505
Publication status	Published - Jul 2012

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title = "Computational investigation of static multipole polarizabilities and sum rules for ground-state hydrogenlike ions",

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.",

keywords = "Analytic expressions, B-Spline methods, Computational investigation, Dirac equations, Dispersion coefficient, High-precision, Hydrogenlike ion, Iso-electronic series, Multipoles, Oscillator strengths, Polarizabilities, Relative accuracy, Sum rule, Hydrogen, Linear equations, Ground state",

author = "Li-Yan Tang and Yong-Hui Zhang and Xian-Zhou Zhang and Jun Jiang and James Mitroy",

year = "2012",

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doi = "10.1103/PhysRevA.86.012505",

language = "English",

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TY - JOUR

T1 - Computational investigation of static multipole polarizabilities and sum rules for ground-state hydrogenlike ions

AU - Tang, Li-Yan

AU - Zhang, Yong-Hui

AU - Zhang, Xian-Zhou

AU - Jiang, Jun

AU - Mitroy, James

PY - 2012/7

Y1 - 2012/7

N2 - 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.

AB - 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.

KW - Analytic expressions

KW - B-Spline methods

KW - Computational investigation

KW - Dirac equations

KW - Dispersion coefficient

KW - High-precision

KW - Hydrogenlike ion

KW - Iso-electronic series

KW - Multipoles

KW - Oscillator strengths

KW - Polarizabilities

KW - Relative accuracy

KW - Sum rule

KW - Hydrogen

KW - Linear equations

KW - Ground state

U2 - 10.1103/PhysRevA.86.012505

DO - 10.1103/PhysRevA.86.012505

M3 - Article

SN - 1050-2947

VL - 86

SP - 1

EP - 10

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 1

M1 - 012505

ER -

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

Abstract

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