Static and dynamic polarizabilities ofNa−within a variationally stable coupled-channel hyperspherical method

Abstract

Using a model potential representation combined with a variationally stable method, we present a precise calculation of the electric dipole polarizabilities of the sodium negative ion $({\mathrm{Na}}^{\ensuremath{-}})$. The effective two-electron eigensolutions for ${\mathrm{Na}}^{\ensuremath{-}}$ are obtained from a hyperspherical coupled-channel calculation. This approach allows efficient error control and insight into the system's properties through one-dimensional potential curves. Our result of $1018.3\phantom{\rule{0.3em}{0ex}}\mathrm{a.u.}$ for the static dipole polarizability is in agreement with previous calculations and supports our results for the dynamic polarizability, which has scarcely been investigated hitherto.