The 4-particle hydrogen-antihydrogen system revisited - Twofold molecular Hamiltonian symmetry and natural atom antihydrogen

摘要

The historical importance of the original quantum mechanical bond theory proposed by Heitler and London in 1927 as well as its pitfalls are reviewed. Modern ab initio treatments of H-(H) over bar systems are inconsistent with the logic behind algebraic Hamiltonians H+/- = H-0 +/- DeltaH for charge-symmetrical and charge-asymmetrical 4 unit charge systems like H-2 and H (H) over bar. Their eigenvalues E+/- = E-0 +/- beta are exactly those of 1927 Heitler-London (HL) theory. Since these 2 Hamiltonians are mutually exclusive, only the attractive one can apply for stable natural molecular H2. A wrong choice leads to problems with antiatom (H) over bar. In line with earlier results on band and line spectra, we now prove that HL chose the wrong Hamiltonian for H2. Their theory explains the stability of attractive system H-2 with a repulsive Hamiltonian H-0 + DeltaH instead of with the attractive one H-0 - DeltaH, representative for charge-asymmetrical system H (H) over bar. A new second order symmetry effect is detected in this attractive Hamiltonian, which leads to a 3-dimensional structure for the 4-particle system. Repulsive HL Hamiltonian H+ applies at long range but at the critical distance, attractive charge-inverted Hamiltonian H- takes over and leads to bond H-2 but in reality, H (H) over bar, for which we give an analytical proof. This analysis confirms and generalizes an earlier critique of the wrong long range behavior of HL-theory by Bingel, Preuss and Schmidtke and by Herring. Another wrong asymptote choice in the past also applies for atomic antihydrogen (H) over bar, which has hidden the Mexican hat potential for natural hydrogen. This generic solution removes most problems, physicists and chemists experience with atomic (H) over bar and molecular H (H) over bar, including the problem with antimatter in the Universe.