The 4-particle hydrogen-antihydrogen system revisited |
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Authors: | Van Hooydonk G |
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Institution: | (1) Ghent University, Faculty of Sciences, Krijgslaan 281 S30, 9000 Ghent, Belgium |
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Abstract: | 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-
systems are inconsistent with the logic behind algebraic Hamiltonians
H± =H 0 ± H for charge-symmetrical and charge-asymmetrical 4 unit charge systems
like H2 and H
. Their eigenvalues E± =E 0±
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
. 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 H2 with a repulsive Hamiltonian H0 + H instead
of with the attractive one H0-H, representative for
charge-asymmetrical system H
. 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 H2 but in reality, H
, 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
, which has hidden the Mexican hat potential for natural hydrogen. This
generic solution removes most problems, physicists and chemists experience
with atomic
and molecular H
, including the
problem with antimatter in the Universe. |
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Keywords: | |
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