Bound-state energies of lithium in magnetic fields using Hylleraas basis functions

Abstract

The variational method in Hylleraas coordinates is applied to calculate the 1${s}^{2}$2${s}_{0}$, 1${s}^{2}$2${p}_{\ensuremath{-}1}$, and 1${s}^{2}$3${d}_{\ensuremath{-}2}$ states of the lithium atom in magnetic fields with field strength up to $2\ifmmode\times\else\texttimes\fi{}{10}^{9}$ G. The computational method is based on multiple basis sets that are optimized for all nonlinear parameters for a given field strength. The oscillator strengths are also investigated for some transitions in magnetic fields.