Ground and excited states for exotic three-body atomic systems

L. U. ANCARANI, K. V. RODRIGUEZ AND G. GASANEO

European Physics Journal, Web of Conference

Springer

Año: 2010 vol. 3 p. 1 - 10

0340-2347

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 three-body atomic systems [m− m− mz3 + ] with two negatively charged light particles, with diverse masses m− and m− , and a heavy positively charged nucleus mz3 + . The calculated ground 11 S and several excited n1,3 S state energies 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 system supporting two electrons, an electron and a muon, or two muons.