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arXiv · 0908.4060

Calculations of polarizabilities and hyperpolarizabilities for the Be$^+$ ion

Li-Yan Tang·Jun-Yi Zhang·Zong-Chao Yan·Ting-Yun Shi·James F. Babb·J. Mitroy
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Abstract

The polarizabilities and hyperpolarizabilities of the Be$^+$ ion in the $2^2S$ state and the $2^2P$ state are determined. Calculations are performed using two independent methods: i) variationally determined wave functions using Hylleraas basis set expansions and ii) single electron calculations utilizing a frozen-core Hamiltonian. The first few parameters in the long-range interaction potential between a Be$^+$ ion and a H, He, or Li atom, and the leading parameters of the effective potential for the high-$L$ Rydberg states of beryllium were also computed. All the values reported are the results of calculations close to convergence. Comparisons are made with published results where available.

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Li-Yan Tang, Jun-Yi Zhang, Zong-Chao Yan, Ting-Yun Shi, James F. Babb, J. Mitroy. 2009-09-24. Calculations of polarizabilities and hyperpolarizabilities for the Be$^+$ ion. https://doi.org/10.1103/physreva.80.042511

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