Correlation Energies of the1s23lL2States of the Lithium Sequence

Abstract

The nonrelativistic eigenvalues of the ($1s^{2}3l{}_{}{}^2{}_{}{}^{}L$) states of the lithium sequence are calculated correct to second order in inverse powers of the nuclear charge. For large nuclear charges the addition of a $3l$ electron to the $1s^2{}_{}{}^1{}_{}{}^{}S$ core increases the magnitude of the correlation energy by, respectively, 0.056, 0.092, and 0.034 eV for $l=0, 1, \mathrm{and} 2$. Most of the correlation arises from the pair energies.