Abstract:
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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 21 July 2000 and Received in final form 4 October 2000
Rights and permissions
About this article
Cite this article
Arias de Saavedra, F., Buendıa, E., Gálvez, F. et al. Variational calculation of some S-states of Coulomb three-body systems. Eur. Phys. J. D 13, 201–206 (2001). https://doi.org/10.1007/s100530170267
Issue Date:
DOI: https://doi.org/10.1007/s100530170267