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

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

2009-08-27

arxiv.org/abs/0908.4060v2

Phys. Rev. A 80, 042511 (2009)

Physics

Atomic Physics

18 pp; added details to Sec. II

Scientific paper

10.1103/PhysRevA.80.042511

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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