Three-body Coulomb systems using generalized angular-momentumSstates

Abstract

An expansion of the three-body Coulomb potential in generalized angular-momentum eigenfunctions developed earlier by one of the authors is used to compute energy eigenvalues and eigenfunctions of bound $S$ states of three-body Coulomb systems. The results for He, ${\mathrm{H}}^{-}$, $e^{-}{e}^{+}{e}^{-}$, and $p{\mu }^{-}p$ are compared with the results of other computational approaches.