2,124 research outputs found
On QCD and Effective Locality
In a recent paper it was shown how quark scattering in a quenched, eikonal
model led to a momentum-transfer dependent amplitude expressed in terms of
Halpern's functional integral; and how the requirement of manifest gauge
invariance converted that functional integral into a local integral, capable of
being evaluated with precision by a finite set of numerical integrations. We
here prove that this property of "effective locality" holds true for all quark
processes, without approximation and without exception.Comment: Expanded and Revised in REVTeX 4.1, 14 pages, follow-on work of Eur.
Phys. J. C65, pp.395-411 (2010) or arXiv:0903.2644v2 [hep-th
Analytic, Non-Perturbative, Gauge-invariant QCD: Nucleon Scattering and Binding Potentials
Removal of the quenched approximation in the mechanism which produced an
analytic estimate of quark-binding potentials, along with a reasonable
conjecture of the color structure of the nucleon formed by such a binding
potential, is shown to generate an effective, nucleon scattering and binding
potential. The mass-scale factor on the order of the pion mass, previously
introduced to define transverse imprecision of quark coordinates, is again
used, while the strength of the potential is proportional to the square of a
renormalized QCD coupling constant. The potential so derived does not include
corrections due to spin, angular momentum, nucleon structure, and electroweak
interactions; rather, it is qualitative in nature, showing how Nuclear Physics
can arise from fundamental QCD.Comment: 25 pages, 3 figures in REVTeX. The fifth of a series on
Non-Perturbative QCD (Eur. Phys. J. C65, 395 (2010) or arXiv:0903.2644
[hep-th], arXiv:1003.2936 [hep-th], arXiv:1103.4179 [hep-th] and
arXiv:1104.4663 [hep-th].
Sodium vacancy ordering and the co-existence of localized spins and itinerant charges in NaxCoO2
The sodium cobaltate family (NaxCoO2) is unique among transition metal oxides
because the Co sits on a triangular lattice and its valence can be tuned over a
wide range by varying the Na concentration x. Up to now detailed modeling of
the rich phenomenology (which ranges from unconventional superconductivity to
enhanced thermopower) has been hampered by the difficulty of controlling pure
phases. We discovered that certain Na concentrations are specially stable and
are associated with superlattice ordering of the Na clusters. This leads
naturally to a picture of co-existence of localized spins and itinerant charge
carriers. For x = 0.84 we found a remarkably small Fermi energy of 87 K. Our
picture brings coherence to a variety of measurements ranging from NMR to
optical to thermal transport. Our results also allow us to take the first step
towards modeling the mysterious ``Curie-Weiss'' metal state at x = 0.71. We
suggest the local moments may form a quantum spin liquid state and we propose
experimental test of our hypothesis.Comment: 16 pages, 5 figure
Flux through a hole from a shaken granular medium
We have measured the flux of grains from a hole in the bottom of a shaken
container of grains. We find that the peak velocity of the vibration, vmax,
controls the flux, i.e., the flux is nearly independent of the frequency and
acceleration amplitude for a given value of vmax. The flux decreases with
increasing peak velocity and then becomes almost constant for the largest
values of vmax. The data at low peak velocity can be quantitatively described
by a simple model, but the crossover to nearly constant flux at larger peak
velocity suggests a regime in which the granular density near the container
bottom is independent of the energy input to the system.Comment: 14 pages, 4 figures. to appear in Physical Review
Imaging nonequilibrium atomic vibrations with x-ray diffuse scattering
For over a century, x-ray scattering has been the most powerful tool for
determining the equilibrium structure of crystalline materials. Deviations from
perfect periodicity, for example due to thermal motion of the atoms, reduces
the intensity of the Bragg peaks as well as produces structure in the diffuse
scattering background. Analysis of the thermal diffuse scattering (TDS) had
been used to determine interatomic force constants and phonon dispersion in
relatively simple cases before inelastic neutron scattering became the
preferred technique to study lattice dynamics. With the advent of intense
synchrotron x-ray sources, there was a renewed interest in TDS for measuring
phonon dispersion. The relatively short x-ray pulses emanating from these
sources also enables the measurement of phonon dynamics in the time domain.
Prior experiments on nonequilibrium phonons were either limited by
time-resolution and/or to relatively long wavelength excitations. Here we
present the first images of nonequilibrium phonons throughout the Brillouin
zone in photoexcited III-V semiconductors, indium-phosphide and
indium-antimonide, using picosecond time-resolved diffuse scattering. In each
case, we find that the lattice remain out of equilibrium for several hundred
picoseconds up to nanoseconds after laser excitation. The non-equilibrium
population is dominated by transverse acoustic phonons which in InP are
directed along high-symmetry directions. The results have wide implications for
the detailed study of electron-phonon and phonon-phonon coupling in solids.Comment: 10 pages, 3 figure
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