Stability conditions for hydrogen-antihydrogen-like quasimolecules

Alejandro Ferrón, Universidad Nacional de Córdoba
Pablo Serra, Universidad Nacional de Córdoba
Sabre Kais, Birck Nanotechnology Center and Department of Chemistry, Purdue University

Abstract

We present a detailed study of the stability conditions of hydrogen-antihydrogen-like quasimolecules using both variational and finite-size scaling calculations. The stability diagram of the nuclear charge Z as a function of the intemuclear distance R shows bound and unbound regions separated by a first-order critical line. Calculations of the leptonic annihilation rate show a peculiar behavior for nuclear charges Z >= 2, which was not observed for the hydrogen-antihydrogen quasimolecule; it goes through a maximum before it decays exponentially for large interhadronic distances. This might have a practical impact on the study of stability of matter-antimatter systems.