Theoretical and observed potential energy curves for neutral 4-unit   charge Coulomb systems containing antihydrogen
  Comparing observed and theoretical potential energy curves for natural and exotic neutral 4-unit charge Coulomb systems like HH and HantiH leads to new conclusions on the effect of charge-antisymmetry in nature. With singularities in the HantiH PEC as found by Aldrovandi and Puget and by Junker and Bardsley, any cusp in the HantiH PEC significantly affects the annihilation cross section. This problem for the HantiH interaction generated many new wave mechanical calculations mainly to remove annoying cusps. We review all available PECs for 4-unit charge systems and find that corrections for the Morgan-Hughes HantiH PEC can either go to the repulsive side (to the conventionally expected annihilation channel) or to the opposite attractive side (to the attractive branch of the observed PEC of natural molecular HH). We observe that all theoretical HantiH PECs published thus far would intersect the observed PEC of natural HH. This is, however, impossible with the non-crossing rule. A classical ab initio calculation of the electrostatic perturbation brings the HantiH PEC much closer to the observed HH PEC than to the PEC of the annihilative channel. This new unprecedented result for long-range behavior in 4-unit charge Coulomb systems confirms that natural antiH must exist and that molecule HH must be interpreted as HantiH. In fact, this seems to be the only solution left, if PECs for systems HH and HantiH with the same symmetry cannot cross. 
G. Van Hooydonk