Brueckner-Goldstone Many-Body Theory for Dynamic Polarizabilities: Application to Ne

Abstract

A many-body procedure applied earlier to helium is utilized here to study the response of a neon atom in its ground state to a time-dependent electric field. The theory of the method, omitted in the helium paper for reasons of brevity, is included here. Our results for the frequency-dependent polarizabilities $\ensuremath{\alpha}(\ensuremath{\omega})$ lead to refractive indices $n(\ensuremath{\omega})$, in excellent agreement with experiment. As a by-product of the calculation, we obtain [from the poles of $\ensuremath{\alpha}(\ensuremath{\omega})$] excitation energies for $2p\ensuremath{\rightarrow}\mathrm{ns}$ and $2p\ensuremath{\rightarrow}\mathrm{nd}$ transitions in good agreement with experiment.