On the stability domain of systems of four unit charges
Institute for Nuclear Research of the Hungarian Academy of Sciences, Debrecen, PO Box 51,
2 Institut de Physique Nucléaire, Université Claude Bernard, CNRS-IN2P3, 43, boulevard du 11 Novembre 1918, F-69622 Villeurbanne, France
3 Institut des Sciences Nucléaires, Université Joseph Fourier, CNRS-IN2P3, 53, avenue des Martyrs, F-38026 Grenoble, France
Accepted: 5 December 1996
Computational evidence is presented to support the conjecture that any system of four unit charges () forms a stable molecule provided two like-sign charges have the same mass, for instance . Examples are the positronium molecule (), the hydrogen molecule (), the positronium hydride (), the exotic di-muonic system (), or excitonic molecules in semiconductors. The result is established using two independent and reliable variational methods.
PACS: 36.10.-k – Exotic atoms and molecules (containing mesons, muons, and other unusual particles) / 31.15.Ar – Electronic structure of atoms, molecules and their ions: ab initio calculations / 31.15.Pf – Electronic structure of atoms, molecules and their ions: variational techniques
© EDP Sciences, 1997