Excited $Σ$ states of the hydrogen-antihydrogen molecule

• URL: http://arxiv.org/abs/2511.08308v1
• Date: Wed, 12 Nov 2025 01:52:06 GMT
• Title: Excited $Σ$ states of the hydrogen-antihydrogen molecule
• Authors: L. Brumm, J. Schürmann, A. Saenz,
• Abstract summary: It is demonstrated that the excited leptonic states support ro-vibrational states with energies close to the ground-state threshold.<n>As a consequence, the excited leptonic states need to be considered in theoretical treatments of ground-state H-$barmathrmH$ collisions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Adopting explicitly correlated Kolos-Wolniewicz-type basis functions, the Born-Oppenheimer potential curves of a number of excited $Σ$ states of the hydrogen-antihydrogen system ($\bar{\rm H}$) 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.

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