Non-relativistic ab initio calculations for $2^{2}S$, $2^{2}P$ and $3^{2}D$ lithium isotopes: Applications to polarizabilities and dispersion interactions

Abstract

The electric dipole polarizabilities and hyperpolarizabilities for the lithium isotopes ${}^6$Li and ${}^7$Li in the ground state $2^{2}S$ and the excited states $2^{2}P$ and $3^{2}D$, as well as the leading resonance and dispersion long-range coefficients for the Li($2^{2}S$)--Li($2^{2}S$) and Li($2^{2}S$)--Li($2^{2}P$) systems, are calculated nonrelativistically using variational wave functions in Hylleraas basis sets. Comparisons are made with published results, where available. We find that the value of the second hyperpolarizability of the $2^{2}S$ state is sensitive to the isotopic mass due to a near cancellation between two terms. For the $3^{2}D$ state polarizability tensor the calculated components disagree with those measured in the sole experiment and with those calculated semi-empirically.

20 pages

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