Ground state for two-electron and electron-muon three-body atomic systems

摘要

In this article, the angular correlated configuration interaction method previously introduced by some of the authors is extended to three-body atomic systems with general masses. A recently proposed angularly correlated basis set is used to construct ground state wave functions which: (i) satisfy exactly Kato cusp conditions atthe two-body coalescence points; (ii) have only linear coefficients; and (iii) show a fast convergency rate for the energy. The efficiency of the construction is illustrated by the study of the negatively charged hydrogen-like systems (~∞H~-, T~-, D~-, ~1H~-, and Mu~-), neutral helium-like systems (e~-e~-~∞He ~(+2),e~-e~-~4He~(+2), e ~-e~-~3He~(+2), e~-μ ~-~∞He~(+2), e~-μ ~(-4)He~(+2), and e~-μ~-~3He~(+2)), and positively charged lithium-like systems (e~-e~-~∞Li~(+3),e ~-e~-~7Li~(+3), e~-e ~-~6Li~(+3), e~-μ~-~∞Li~(+3), e~-μ~-~7Li~(+3), and e~-μ~-~6Li~(+3)). The ground state energies and other mean values are compared with those given in the literature, when available. Wave functions with a moderate number of (20 maximum) linear coefficients are given explicitly; they are sufficiently simple and accurate to be used in practical calculations of atomic collision in which multidimensional integrations are involved.