27,497 research outputs found
Two charges on plane in a magnetic field: special trajectories
A classical mechanics of two Coulomb charges on a plane and
subject to a constant magnetic field perpendicular to a plane is
considered. Special "superintegrable" trajectories (circular and linear) for
which the distance between charges remains unchanged are indicated as well as
their respectful constants of motion. The number of the independent constants
of motion for special trajectories is larger for generic ones. A classification
of pairs of charges for which special trajectories occur is given. The special
trajectories for three particular cases of two electrons, (electron -
positron), (electron - -particle) are described explicitly.Comment: 22 pages, 5 figure
Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
We present a microcanonical Monte Carlo simulation of the site-diluted Potts
model in three dimensions with eight internal states, partly carried out in the
citizen supercomputer Ibercivis. Upon dilution, the pure model's first-order
transition becomes of the second-order at a tricritical point. We compute
accurately the critical exponents at the tricritical point. As expected from
the Cardy-Jacobsen conjecture, they are compatible with their Random Field
Ising Model counterpart. The conclusion is further reinforced by comparison
with older data for the Potts model with four states.Comment: Final version. 9 pages, 9 figure
Low energy universality and scaling of Van der Waals forces
At long distances interactions between neutral ground state atoms can be
described by the Van der Waals potential V(r) =-C6/r^6-C8/r^8 - ... . In the
ultra-cold regime atom-atom scattering is dominated by s-waves phase shifts
given by an effective range expansion p cot d0 (p) = -1/a0 + r0 p^2/2 + ... in
terms of the scattering length a0 and the effective range r0. We show that
while for these potentials the scattering length cannot be predicted, the
effective range is given by the universal low energy theorem r0 = A + B/a0+
C/a0^2 where A,B and C depend on the dispersion coefficients Cn and the reduced
di-atom mass. We confront this formula to about a hundred determinations of r0
and a0 and show why the result is dominated by the leading dispersion
coefficient C6. Universality and scaling extends much beyond naive dimensional
analysis estimates.Comment: 4 pages, 3 figure
The out-equilibrium 2D Ising spin glass: almost, but not quite, a free-field theory
We consider the spatial correlation function of the two-dimensional Ising
spin glass under out-equilibrium conditions. We pay special attention to the
scaling limit reached upon approaching zero temperature. The field-theory of a
non-interacting field makes a surprisingly good job at describing the spatial
shape of the correlation function of the out-equilibrium Edwards-Anderson Ising
model in two dimensions.Comment: 20 pages + 5 Figure
Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model
We have studied numerically the effect of quenched site dilution on a first
order phase transition in three dimensions. We have simulated the site diluted
three states Potts model studying in detail the second order region of its
phase diagram. We have found that the exponent is compatible with the one
of the three dimensional diluted Ising model whereas the exponent is
definitely different.Comment: RevTex. 6 pages and 6 postscript figure
Non-Canonical Perturbation Theory of Non-Linear Sigma Models
We explore the O(N)-invariant Non-Linear Sigma Model (NLSM) in a different
perturbative regime from the usual relativistic-free-field one, by using
non-canonical basic commutation relations adapted to the underlying O(N)
symmetry of the system, which also account for the non-trivial (non-flat)
geometry and topology of the target manifold.Comment: 11 pages, 1 figure, LaTe
Electromagnetic dipole moments of charged baryons with bent crystals at the LHC
We propose a unique program of measurements of electric and magnetic dipole
moments of charm, beauty and strange charged baryons at the LHC, based on the
phenomenon of spin precession of channeled particles in bent crystals. Studies
of crystal channeling and spin precession of positively- and negatively-charged
particles are presented, along with feasibility studies and expected
sensitivities for the proposed experiment using a layout based on the LHCb
detector.Comment: 19 pages, 13 figure
Photon distribution amplitudes and light-cone wave functions in chiral quark models
The leading- and higher-twist distribution amplitudes and light-cone wave
functions of real and virtual photons are analyzed in chiral quark models. The
calculations are performed in the nonlocal quark model based on the instanton
picture of QCD vacuum, as well as in the spectral quark model and the
Nambu--Jona-Lasinio model with the Pauli-Villars regulator, which both treat
interaction of quarks with external fields locally. We find that in all
considered models the leading-twist distribution amplitudes of the real photon
defined at the quark-model momentum scale are constant or remarkably close to
the constant in the variable, thus are far from the asymptotic limit form.
The QCD evolution to higher momentum scales is necessary and we carry it out at
the leading order of the perturbative theory for the leading-twist amplitudes.
We provide estimates for the magnetic susceptibility of the quark condensate
and the coupling , which in the nonlocal model turn out
to be close to the estimates from QCD sum rules. We find the higher-twist
distribution amplitudes at the quark model scale and compare them to the
Wandzura-Wilczek estimates. In addition, in the spectral model we evaluate the
distribution amplitudes and light-cone wave functions of the -meson.Comment: 24 pages, 15 figure
Ising exponents in the two-dimensional site-diluted Ising model
We study the site-diluted Ising model in two dimensions with Monte Carlo
simulations. Using finite-size scaling techniques we compute the critical
exponents observing deviations from the pure Ising ones. The differences can be
explained as the effects of logarithmic corrections, without requiring to
change the Universality Class.Comment: 7 pages, 2 postscript figures. Reference correcte
Gravitational and higher-order form factors of the pion in chiral quark models
The gravitational form factor of the pion is evaluated in two chiral quark
models and confronted to the recent full-QCD lattice data. We find good
agreement for the case of the Spectral Quark Model, which builds in the
vector-meson dominance for the charge form factor. We derive a simple relation
between the gravitational and electromagnetic form factors, holding in the
considered quark models in the chiral limit. The relation implies that the
gravitational mean squared radius is half the electromagnetic one. We also
analyze higher-order quark generalized form factors of the pion, related to
higher moments in the symmetric Bjorken X-variable of the generalized parton
distribution functions, and discuss their perturbative QCD evolution, needed to
relate the quark-model predictions to the lattice data. The values of the
higher-order quark form factors at t=0, computed on the lattice, also agree
with our quark model results within the statistical and method uncertainties.Comment: 12 pages, 4 figures, discussion and references adde
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