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

Abstract

The polarizabilities and hyperpolarizabilities of the Be${}^{+}$ ion in the $2^{2}S$ state and the $2^{2}P$ 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.

18 pp; added details to Sec. II

References in corpus (1)

• Non-relativistic ab initio calculations for $2^{2}S$, $2^{2}P$ and $3^{2}D$ lithium isotopes: Applications to polarizabilities and dispersion interactions