https://doi.org/10.1007/s100530170267
Variational calculation of some S-states of Coulomb three-body systems
1
Departamento de Física Moderna, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
2
Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85287, USA
Corresponding author: a galvez@ugr.es
Received:
21
July
2000
Revised:
4
October
2000
Published online: 15 February 2001
A generalized Hylleraas-type basis set with three nonlinear parameters is proposed to study three-body systems interacting via coulomb forces within the framework of non-relativistic quantum mechanics. This basis set improves the rate of convergence with respect to previous ones, specially for non-symmetric systems and excited states of two electron atoms. Accurate binding energies and other properties for S-states of helium-like ions, muonic molecules and the positronium negative ion are reported.
PACS: 36.10.Dr – Positronium, muonium, muonic atoms and molecules / 31.25.-v – Electron correlation calculations for atoms and molecules / 31.15.Pf – Variational techniques
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001