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

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

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 Proof that the Hydrogen-Antihydrogen Molecule is Unstable

A recent claim that molecule H-antiH is unstable cannot be a proof as it is based on a wrong conjecture. This is illustrated with 4 examples, including observed natural hydrogen-antihydrogen oscillations never detected previously.Comment: 1 page, 1 figure, formatted for submission as a comment to PRL, typo's removed, more text adaptation

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

Mexican hat curve for hydrogen- and antihydrogen-states in natural atom H

Molecular band spectra as well as atomic line spectra reveal a left-right symmetry for atoms (Van Hooydonk, Spectrochim. Acta A, 2000, 56, 2273 and Phys. Rev. A 66, 044103 (2002). We now extract a Mexican hat shaped or double well curve from the line spectrum (Lyman ns-series) of natural atom H. An H CSB theory and its oscillator contribution (1-0.5pi/n)sup(2)/nsup(2) lead to unprecedented results for antihydrogen physics, ahead of the CERN-AD-project on artificial antihydrogen.Comment: 4 pages, 1 fig., lecture at Wigner Centennial 2002, Pecs, Hungar

Generic solution for hydrogen-antihydrogen interactions

An internal inconsistency with mutually exclusive Hamiltonians and the corresponding mutually exclusive states HH and H-antiH suffices to doubt the usefulness of ab initio calculations for H-antiH based on 1927 Heitler-London theory. Removing this inconsistency in a generic way invalidates this theory but the compensation is that problems with antihydrogen are removed.Comment: 4 pages, short version of a long paper in Eur Phys J D, Online First (2005), submitted to Phys Rev Let

H2: entanglement, probability density function, confined Kratzer oscillator, universal potential and (Mexican hat- or bell-type) potential energy curves

We review harmonic oscillator theory for closed, stable quantum systems. The H2 potential energy curve (PEC) of Mexican hat-type, calculated with a confined Kratzer oscillator, is better than the Rydberg-Klein-Rees (RKR) H2 PEC. Compared with QM, the theory of chemical bonding is simplified, since a confined Kratzer oscillator gives the long sought for universal function, once called the Holy Grail of Molecular Spectroscopy. This is validated with HF, I2, N2 and O2 PECs. We quantify the entanglement of spatially separated H2 quantum states, which gives a braid view. The equal probability for H2, originating either from HA+HB or HB+HA, is quantified with a Gauss probability density function. At the Bohr scale, confined harmonic oscillators behave properly at all extremes of bound two-nucleon quantum systems and are likely to be useful also at the nuclear scale.Comment: 22 pages, 24 figures, 5 table