Ground and excited states for exotic three-body atomic systems

¹ Laboratoire de Physique Moléculaire et des Collisions, Université Paul Verlaine - Metz, 57078 Metz, France
² Departamento de Física, Universidad Nacional del Sur and Consejo Nacional de Investigaciones Científicas y Técnicas, 8000 Bahía Blanca, Buenos Aires, Argentina

^a e-mail: ancarani@univ-metz.fr

Abstract

An Angular Correlated Configuration Interaction method is extended and applied to exotic threebody 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 [m₁⁻ m₂⁻ m₃^z3+ ] with two negatively charged light particles, with 123 diverse masses m₁⁻ and m₂⁻, and a heavy positively charged nucleus m₃^z3+. The calculated ground 1¹S and several excited n^1,3S 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.