Ground and excited states for exotic three-body atomic systems
Laboratoire de Physique Moléculaire et des Collisions,
Université Paul Verlaine - Metz, 57078
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: firstname.lastname@example.org
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− m3z3+ ] with two negatively charged light particles, with 123 diverse masses m1− and m2−, and a heavy positively charged nucleus m3z3+. The calculated ground 11S and several excited n1,3S 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.
© Owned by the authors, published by EDP Sciences, 2010