The 4-particle hydrogen-antihydrogen system revisited: twofold Hamiltonian symmetry and natural atom antihydrogen

Modern ab initio treatments of H-Hbar 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 HHbar. Since these 2 Hamiltonians are mutually exclusive, only the attractive one can apply for stable natural molecular H(2). A wrong choice leads to problems with antiatom Hbar. In line with earlier results on band and line spectra, we now prove that HL chose the wrong Hamiltonian for H(2). Their theory explains the stability of attractive system H(2) with a repulsive Hamiltonian instead of with the attractive one, representative for charge-asymmetrical system HHbar. A new second order symmetry effect is detected. 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, HHbar, for which we give an analytical proof. Another wrong asymptote choice in the past also applies for atomic antihydrogen Hbar, which has hidden the Mexican hat potential for natural hydrogen. This generic solution removes most problems, physicists and chemists experience with atomic Hbar and molecular HHbar, including the problem with antimatter in the Universe.Comment: at the instituional UGent archive, 37 pag, 10 fig, tabb, version as submitted, abstract shortene

Five-fold symmetry in fractal atom hydrogen probed with accurate 1S-nS terms

We probe Penrose's five-fold symmetry and fractal behavior for atom H. With radius r(H) derived from H mass m(H), H symmetry is governed by Euclid's golden ratio phi=0,5(sqrt(5)-1), as proved with accurate H terms. A Hund-type Mexican hat curve in the natural H spectrum points to mirrored antihydrogen Hbar. We predict that term H 1S-3S, to be measured soon, is 2 922 743 278 654 kHz.Comment: 9 pages, 2 figures, 2 tables, typo's remove

Flawing CERN antihydrogen-experiments with the available H-spectrum

Solving the antiH-problem could well be of historical interest but a solution must be unambiguous. We use already available and accurate spectral evidence to contradict and even to flaw the current CERN antiH-experiments, set up to unravel this antiH-mystery. Making antiH with a long-range interaction between e+ and p- is impossible, since this mass-asymmetrical pair of charge-conjugated antiparticles is confined to a bound state at close-range. This resembles the short- and long-range quark behavior in QCD. A real solution for antiH will therefore require a different approach.Comment: 8 pages, 2 figures, on the ugent institutional archive, submitted to Phys Rev Lett on Oct 29, 200

Dispelling the antihydrogen myth

While achiral Bohr atom theory cannot generate Hbar signatures, achiral Heitler-London bond theory can but its Hbar signatures must be detected. We show that the largest spectral signature to probe Hbar is the singlet-triplet splitting of 9,5 eV at r(0)=0,74 Angstrom, observed in the dihydrogen band spectrum. This large Hbar-signature, overlooked for nearly a century, is confirmed with the observed HH potential energy curve. Hbar claims by CERN-based collaborations, seemingly important for the fate and future of Hbar, are premature and must be examined critically

Ionic Kratzer bond theory and vibrational levels for achiral covalent bond HH

A dihydrogen Hamiltonian reduces to the Sommerfeld-Kratzer-potential, adapted for field quantization according to old-quantum theory. Constants omega_e, k_e and r_e needed for the H_2 vibrational system derive solely from hydrogen mass m_H. For H_2, a first principles ionic Kratzer oscillator returns the covalent bond energy within 0,08 % and all levels within 0,02 %, 30 times better than the Dunham oscillator and as accurate as early ab initio QM.Comment: 21 pages, 4 figures, 2 tables, at the institutional archive Ghent University, references and early ab initio QM results added, typo's remove

Comment on Universal Reduced Potential Function for Diatomic Systems

First principles prove why a recent claim by R.H. Xie and P.S. Hsu (Phys. Rev. Lett. 96, 243201 (2006)) on the scaling power of a covalent Sutherland parameter to expose a universal function cannot be validated.Comment: 1 page, at the UGent archive, 11 references, revised for publication in PR

On mirror symmetry, CSB and anti-hydrogen states in natural atom H

Molecular band spectra reveal a left-right symmetry for atoms (Van Hooydonk, Spectrochim.Acta A, 2000, 56, 2273). Intra-atomic left-right symmetry points to antiatom states and, to make sense, this must also show in line spectra. H Lyman ns-states show a mirror plane at quantum number n=pi/2. Symmetry breaking oscillator (1-0.5pi/n)sup(2) means that some of these n-states are anti-hydrogenic. This view runs ahead of CERN AD-projects on antihydrogen.Comment: 2 pages, 1 fig., contribution at conference PSAS2002, Sint Petersbur