Ground and excited states for exotic three-body atomic systems

L. U. ANCARANI; K. V. RODRIGUEZ; G. GASANEO

Conferencia; 19th International IUPAP Conference on Few-Body Problems in Physics; 2010

An Angular Correlated Configuration Interaction method is extended and applied to exotic three-body atomic systems with general masses. A recently proposed angularly correlated basis set is used to construct, simultaneously and with a single diagonalization, ground and excited states wave functions which: (i) satisfy exactly Kato cusp conditions at the two-body coalescence points; (ii) have only linear parameters; (iii) show a fast convergency rate for the energy; (IV) form an orthogonal set. The efficiency of the construction is illustrated by the study a variety of the three-body atomic  systems with two negatively charged light particles, with diverse masses m1 and m2, and a heavy positively charged nucleus m3. The calculated ground 1S and several excited states are compared with those given in the literature, when available. We also present a short discussion on the critical charge necessary to get a stable three-body systems supporting two electrons, an electron and a muon, or two muons.