Variational calculations for the hydrogen-antihydrogen system with a mass-scaled Born-Oppenheimer potential
2012 (English)In: CENTRAL EUROPEAN JOURNAL OF PHYSICS, ISSN 1895-1082, Vol. 10, no 5, 1038-1053 p.Article in journal (Refereed) Published
The problem of proton-antiproton motion in the H- system is investigated by means of the variational method. We introduce a modified nuclear interaction through mass-scaling of the Born-Oppenheimer potential. This improved treatment of the interaction includes the nondivergent part of the otherwise divergent adiabatic correction and shows the correct threshold behaviour. Using this potential we calculate the vibrational energy levels with angular momentum 0 and 1 and the corresponding nuclear wave functions, as well as the S-wave scattering length. We obtain a full set of all bound states together with a large number of discretized continuum states that might be utilized in variational four-body calculations. The results of our calculations gives an indication of resonance states in the hydrogen-antihydrogen system.
Place, publisher, year, edition, pages
2012. Vol. 10, no 5, 1038-1053 p.
antihydrogen; Born-Oppenheimer approximation; adiabatic approximation; matter-antimatter interactions
IdentifiersURN: urn:nbn:se:uu:diva-188930DOI: 10.2478/s11534-012-0131-yISI: 000311496400002OAI: oai:DiVA.org:uu-188930DiVA: diva2:580194