Ground states wavefunctions for two--electron systems with finite nuclear mass

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

Graz, Austria

Conferencia; 40th European Group for Atomic Systems (EGAS) conference; 2008

EGAS

The basis functions proposed by Gasaneo and Ancarani are used to construct trial wavefunctions for several two-electron systems. The focus here is on the study of the following negatively charged hydrogenlike ions : H, D, T and M, the negative positronium ion Ps, and some exotic systems (nme)+ in which one of the particles is heavier than the other two. All these systems are similar to each other in the main property of their spectra, i.e. they have only one bound (ground), singlet state with angular momentum L = 0. The basis functions satisfy exactly all the two-body Kato cusp conditions. We also investigate systems of the form (nme)+ where (nme)+ refers to exotic particles with masses m3 equal n times the mass of the positron but with the charge of the positron (+). We have obtained approximate analytical expressions for the energies and some mean radial quantities, as functions of the mass of the heaviest particle m3. Results of the mean energy and other radial quantities will be shown at the conference for the different ions and exotic systems.