Accurate ground state wavefunctions for several three--body systems

Y.V. GONZALEZ, K.V. RODRIGUEZ, G. GASANEO, L.U. ANCARANI, AND D.M. MITNIK

Viena, Austria

Conferencia; International Conference on exotic atoms and related topics; 2008

Angularly correlated functions are used to construct approximated wavefunctions for several atomic-like systems. The focus here is on the study of negatively charged hydrogen-like ions, negative positronium and exotic systems, in which one of the particles is heavier than the other two. We also consider hydrogen-like three-body systems where one of the two electrons is replaced by a muon. The basis functions proposed satisfy exactly all the two-body Kato cusp conditions. Highly accurate results of the mean energy and other radial quantities will be shown at the conference for all the mentioned systems.