Excited $\Sigma$ states of the hydrogen-antihydrogen molecule

Abstract

Adopting explicitly correlated Kolos-Wolniewicz-type basis functions, the Born-Oppenheimer potential curves of a number of excited $\Sigma$ states of the hydrogen-antihydrogen system ($\bar{\mathrm{H}}$) were calculated for both, even and odd, Q symmetries, including also free positronium states. It is demonstrated that the excited leptonic states support ro-vibrational states with energies close to the ground-state dissociation threshold. As a consequence, the excited leptonic states need to be considered in theoretical treatments of ground-state H-$\bar{\mathrm{H}}$ collisions.

arXiv comment18 pages, 11 figures

References in corpus (8)

• Bose-Einstein Condensation of Atomic Hydrogen
• Antiproton-Hydrogen annihilation at sub-kelvin temperatures
• Collisions involving antiprotons and antihydrogen: an overview
• Born-Oppenheimer potentials for $\Pi$, $\Delta$, and $\Phi$ states of the hydrogen molecule
• Proof that the Hydrogen-antihydrogen Molecule is Unstable
• Resonant Phenomena in Antihydrogen-Hydrogen Scattering
• Low-temperature antihydrogen-atom scattering
• Variational calculations for the hydrogen-antihydrogen system with a mass-scaled Born-Oppenheimer potential