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 (6)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Observation of the 1S0 - 3P0 clock transition in 27Al+
• Quantum theory of ultracold atom-ion collisions
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• Non-relativistic ab initio calculations for $2^{2}S$, $2^{2}P$ and $3^{2}D$ lithium isotopes: Applications to polarizabilities and dispersion interactions
• Polarizabilities of the Mg${}^{+}$ and Si${}^{3+}$ ions

Cited by in corpus (3)

• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions
• Detecting weak beryllium lines with CUBES
• Relativistic hyperpolarizabilities for atomic H, Li, and Be${}^{+}$ systems