94 research outputs found
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
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