Full-core-plus-correlation method in cylindrical coordinates: Lithium atom in strong magnetic fields

Abstract

The energy levels involving the ${0}^{+}$, $(\ensuremath{-}1{)}^{+}$, $(\ensuremath{-}2{)}^{+}$ states of the lithium atom in strong magnetic fields up to $2.35\ifmmode\times\else\texttimes\fi{}{10}^{7}\phantom{\rule{0.3em}{0ex}}\mathrm{T}$ are investigated. Our computational approach is a full-core-plus-correlation (FCPC) method based on a set of anisotropic Gaussian orbitals nonlinearly optimized for different field strength. A detailed comparison between our method, the FCPC method in spherical coordinates, and the full configuration-interaction method is made. The dipole oscillator strengths of ${1}^{2}{0}^{+}\text{\ensuremath{-}}{1}^{2}(\ensuremath{-}1{)}^{+}$ and ${1}^{2}(\ensuremath{-}1{)}^{+}\text{\ensuremath{-}}{1}^{2}(\ensuremath{-}2{)}^{+}$ transitions, as well as the transition wavelengths for the transitions ${\ensuremath{\nu}}^{2}{0}^{+}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{2}(\ensuremath{-}1{)}^{+}$ and ${\ensuremath{\nu}}^{2}(\ensuremath{-}1{)}^{+}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{2}(\ensuremath{-}2{)}^{+}$ are also presented.