Calculations of polarizabilities and hyperpolarizabilities for the Be+ ion

The polarizabilities and hyperpolarizabilities of the Be+ ion in the 2 S-2 state and the 2 P-2 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.