The dynamic dipole polarizabilities of the Li atom and the Be+ ion

TL;DR

This paper calculates the most accurate non-relativistic dynamic dipole polarizabilities for Li atom and Be+ ion, including relativistic corrections and analytic formulas, providing definitive reference values for these species.

Contribution

It presents the first definitive non-relativistic polarizability values for Li and Be+ with estimated relativistic corrections and analytic representations over relevant frequency ranges.

Findings

Recommended polarizabilities: 164.11 ± 0.03 a.u. for ^7Li

Recommended polarizabilities: 24.489 ± 0.004 a.u. for ^9Be+

Analytic formulas provided for frequency-dependent polarizabilities.

Abstract

The dynamic dipole polarizabilities for the Li atom and the Be+ ion in the 2s and 2p states are calculated using the variational method with a Hylleraas basis. The present polarizabilities represent the definitive values in the non-relativistic limit. Corrections due to relativistic effects are also estimated. Analytic representations of the polarizabilities for frequency ranges encompassing the n=3 excitations are presented. The recommended polarizabilities for ^7Li and ^9Be+ were 164.11 \pm 0.03 a.u. and 24.489 \pm 0.004 a.u..