Gauge symmetry, chirality and parity violation in four-particle systems: Coulomb's law as a universal molecular function

Abstract

Following recent work in search of a universal function (Van Hooydonk, Eur J Inorg Chem, 1999, 1617), we test symmetric potentials for reproducing molecular potential energy curves (PECs). For a bond, a four-particle system, charge inversion is the key to explain this shape generically. A parity adapted Hamiltonian reduces from ten to two terms. The analytical perturbed Coulomb function scales attractive and repulsive branches of 13 PECs (HH, HF, LiH, KH, AuH, LiLi, LiF, KLi, NaCs, RbRb,RbCs, CsCs and II) in a single straight line. Turning points are reproduced with a deviation of 0.3 % (0.007 angstrom). At the repulsive side, the deviation is 0.2 % (0.003 angstrom). The ab initio zero molecular parameter function gives PECs of acceptable quality, just using atomic ionisation energies. The function can be used as a model potential for inverting energy levels. The theory may be tested with femtochemistry. Reactions between hydrogen and anti-hydrogen, feasible in the near future, will probably produce normal HH.

90 p., 5 tables, 35 figures

References in corpus (5)

• CPT and Lorentz Tests in Penning Traps
• The hydrogen molecule in magnetic fields: The ground states of the Sigma manifold of the parallel configuration
• Non-Relativistic Pion Interactions and the Pionium Lifetime
• Gauge-Mediated Supersymmetry Breaking within the Dynamical Messenger Sector
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Cited by in corpus (5)

• Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
• Comment on Universal Reduced Potential Function for Diatomic Systems
• The 4-particle hydrogen-antihydrogen system revisited: twofold Hamiltonian symmetry and natural atom antihydrogen
• On mirror symmetry, CSB and anti-hydrogen states in natural atom H
• Lie algebraic solution of the Kratzer oscillator in diatomic molecules