Related papers: A chiral 4-fermion structure for perturbed atom H:…
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…
Recently, we showed that that band as well as line spectra, reveal a left-right symmetry in 4- and 2-fermion systems. We now show how a mass-conjugation explains the difference between atom- and antiatom-states in a stable 2-unit charge…
Bound state QED uses the Sommerfeld-Dirac double square root equation to obtain quartics (Mexican hat or double well curves), which can give away left-right symmetry or chiral behavior for particle systems as in the SM. We now show that…
We show that Coulomb's law is a universal molecular function. Charge inversion in one atom (handedness or chirality) generates a switch from atom-atom to atom-antiatom systems. this switch reduces the 10 term Hamiltonian for 4-particle…
Application of a perpendicular electric field induces a band gap in bilayer graphene, and it also creates a "Mexican hat" structure in the dispersion relation. This structure has unusual implications for the hydrogen-like bound state of an…
The internal microscopic phase transition in atom H described with a Hund-type Mexican hat potential is analytically congruent with the macroscopic phase transitions between states of aggregation, described with classical Van der…
We consider the Courant-Hilbert (CH) construction of integrable deformations of a two-dimensional principal chiral model (2D PCM) in the context of the four-dimensional Chern-Simons (4D CS) theory. According to this construction, an…
Heavy quark symmetry predicts the value of $B \rightarrow D$ and $B \rightarrow D^*$ transition matrix elements of the current $\bar c \gamma_\mu (1 - \gamma_5)b$, at zero recoil (where in the rest frame of the $B$ the $D$ or $D^*$ is also…
In the context of 2+1 dimensional Dirac materials, we consider electromagnetic interactions alongside a type of spin-dependent Hubbard interaction. The former is described by PQED theory, while the latter corresponds to an effective theory…
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…
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…
We investigate the development of a gapped phase in the field theory of Dirac fermions in graphene with long-range Coulomb interaction. In the large-N approximation, we show that the chiral symmetry is only broken below a critical number of…
We evaluate the interaction potential between a hydrogen and an antihydrogen using the second-order perturbation theory within the framework of the four-body system in a separable two-body basis. We find that the H-Hbar interaction…
An intriguing feature of the Standard Model is that the representations of the unbroken gauge symmetries are vector-like whereas those of the spontaneously broken gauge symmetries are chiral. Here we provide a toy model which shows that a…
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…
The large N_c N=4 gauge theory with quenched N=2 quark matter displays chiral symmetry breaking in the presence of a magnetic field. We previously studied the temperature and chemical potential phase structure of this theory in the grand…
The bilayer Heisenberg antiferromagnet is known to exhibit a quantum-critical transition at a particular value of the inter-layer coupling. Using a new type of coherent state, appropriate to the special order parameter structure of the…
A thorough tensor analysis of the Bragg-forbidden reflection (00.3)$_h$ in corundum systems having a global center of inversion, like V$_2$O$_3$ and $\alpha$-Fe$_2$O$_3$, shows that anomalous x-ray resonant diffraction can access chiral…
In a 4D chiral Thirring model we analyse the possibility that radiative corrections may produce spontaneous breaking of Lorentz and CPT symmetry. By studying the effective potential, we verified that the chiral current $\bar\psi\gamma^{\mu}…
$A$B$_{2}$ ($A=$K, Rb, Cs) compounds crystallize in the cubic Laves phase (symmetry Fd$\bar{3}$m). The geometry of the crystal structure allows the realization of chiral phonons, which are associated with the circulation of atoms around…