Possible Coexistence of Antihydrogen with Hydrogen, Deuterium and Tritium Atoms
Abstract
Recent productions of large numbers of cold antiprotons as well as the formation of antihydrogens at CERN and Fermilab have raised basic questions about possible coexistence of matter and antimatter in nature. In the present work, previous mathematical considerations are revisited which support the possible coexistence of Antihydrogen with Hydrogen, Deuterium and Tritium atoms. In particular, the main objective of the present work is to present computational treatments which confirm the possible formation of these quasi molecules in laboratory. These treatments are based on a nonadiabatic picture of the system in which generalized basis functions are adjusted within the framework of RayleighRitz' variational method. Thus, it is ruled out in the present work the BornOppenheimer adiabatic picture of the system, which demands the existence of bound states composed of fixed quasi heavy atoms (containing at least two baryons, e.g. protonium (Pn), with mean lifetime 1.0x10^^6 s) and quasi light atoms (composed of two leptons, e.g. positronium (Ps), with mean lifetime 125x10^^12 s for paraPs and 142.05x10^^9 s for orthoPs). Our calculations of the binding energies and internal structure of AntihydrogenHydrogen, AntihydrogenDeuterium and AntihydrogenTritium show that these quasi molecules are bound and could be formed in nature. On the other hand, having in mind the adiabatic picture of the systems, our results suggest the possible formation of these molecules as resonant states in AntihydrogenAtom interaction. Nevertheless, several arguments are accumulated in the conclusion as consequences of the proposed bound states.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.2283
 Bibcode:
 2007arXiv0711.2283A
 Keywords:

 Physics  Atomic and Molecular Clusters;
 Physics  Plasma Physics
 EPrint:
 29 pages, 3 Figures and 4 Tables