22,028 research outputs found
Relativistic eikonal approximation in high-energy A(e,e'p) reactions
A fully relativistic model for the description of exclusive (e,e'p) reactions
off nuclear targets at high energies and momentum transfers is outlined. It is
based on the eikonal approximation for the ejectile scattering wave function
and a relativistic mean-field approximation to the Walecka model. Results for
^{12}C(e,e'p) and ^{16}O(e,e'p) differential cross sections and separated
structure functions are presented for four-momenta in the range 0.8 \leq Q^{2}
\leq 20 (GeV/c)^{2}. The regions of applicability of the eikonal approximation
are studied and observed to be confined to proton knockout in a relatively
small cone about the momentum transfer. A simple criterium defining the
boundaries of this cone is determined. The Q^2 dependence of the effect of
off-shell ambiguities on the different (e,e'p) structure functions is
addressed. At sufficiently high values of Q^2 their impact on the cross
sections is illustrated to become practically negligible. It is pointed out
that for the whole range of Q^2 values studied here, the bulk of the
relativistic effects arising from the coupling between the lower components in
the wave functions, is manifesting itself in the longitudinal-transverse
interference term.Comment: 13 pages,11 figure
Bridging Two Ways of Describing Final-State Interactions in A(e,e'p) Reactions
We outline a relativistic and unfactorized framework to treat the final-state
interactions in quasi-elastic A(e,e'p) reactions for four-momentum transfers
Q (GeV/c). The model, which relies on the eikonal
approximation, can be used in combination with optical potentials, as well as
with the Glauber multiple-scattering method. We argue that such a model can
bridge the gap between a typical ``low'' and ``high-energy'' description of
final-state interactions, in a reasonably smooth fashion. This argument is made
on the basis of calculated structure functions, polarization observables and
nuclear transparencies for the target nuclei C and O.Comment: revised versio
Hydraulic conductivity and swelling pressure of GCLs using polymer treated clays to high concentration CaCl(2) solutions
A Geosynthetic Clay Liner (GCL) is a frequently used h ydraulic barrier system designed to impede the flow of contaminated leachate into the environment. The main objective of this barrier system is to maintain a low hydraulic conductivity that is determined by the bentonite fraction. In this study, calcium bentonite, natural sodium bentonites, and sodium activated bentonite were treated with the HYPER clay technique. This involves the adsorption of an anionic polymer, Sodium CarboxyMethylCellulose (Na-CMC) onto the surface
of the clay material. The purpose of this research was to show the beneficial effect of the HYPER clay treatment on the swelling and hydraulic performance, while the bentonite is permeated with high concentration CaCl2 solutions. The test results showed that swelling and hydraulic performance increased with Na-CMC treatment, regardless of the type of bentonite that was used. Additionally, a powdered Na CMC configuration provided higher swelling and hydraulic performance compared to a granular configuration
Strongly anisotropic roughness in surfaces driven by an oblique particle flux
Using field theoretic renormalization, an MBE-type growth process with an
obliquely incident influx of atoms is examined. The projection of the beam on
the substrate plane selects a "parallel" direction, with rotational invariance
restricted to the transverse directions. Depending on the behavior of an
effective anisotropic surface tension, a line of second order transitions is
identified, as well as a line of potentially first order transitions, joined by
a multicritical point. Near the second order transitions and the multicritical
point, the surface roughness is strongly anisotropic. Four different roughness
exponents are introduced and computed, describing the surface in different
directions, in real or momentum space. The results presented challenge an
earlier study of the multicritical point.Comment: 11 pages, 2 figures, REVTeX
Multichannel heart scanner based on high-Tc SQUIDs
A 7-channel magnetometer for magnetocardiography based on high-T c SQUIDs has been realized. This magnetometer is used for test experiments in the development of a multichannel high-Tc SQUID based heart-scanner for clinical applications. The intrinsic noise level of the channels in the 7-channel system is typically 120 fT/Âż(Hz) down to 1 Hz. Magnetocardiograms were recorded inside a magnetically shielded room. Introductory experiments were performed on the suppression of noise by combining magnetometers to form planar gradiometers. The noise suppression that can be established appeared to be limited by the imbalance of the gradiometric configuration, which is roughly 2%. This relatively poor balance of the system is caused by inaccuracies in the transfer functions of the individual SQUID magnetometers, and by deviations from the planar geometr
On Critical Exponents and the Renormalization of the Coupling Constant in Growth Models with Surface Diffusion
It is shown by the method of renormalized field theory that in contrast to a
statement based on a mathematically ill-defined invariance transformation and
found in most of the recent publications on growth models with surface
diffusion, the coupling constant of these models renormalizes nontrivially.
This implies that the widely accepted supposedly exact scaling exponents are to
be corrected. A two-loop calculation shows that the corrections are small and
these exponents seem to be very good approximations.Comment: 4 pages, revtex, 2 postscript figures, to appear in Phys.Rev.Let
Distribution functions in percolation problems
Percolation clusters are random fractals whose geometrical and transport
properties can be characterized with the help of probability distribution
functions. Using renormalized field theory, we determine the asymptotic form of
various of such distribution functions in the limits where certain scaling
variables become small or large. Our study includes the pair-connection
probability, the distributions of the fractal masses of the backbone, the red
bonds and the shortest, the longest and the average self-avoiding walk between
any two points on a cluster, as well as the distribution of the total
resistance in the random resistor network. Our analysis draws solely on
general, structural features of the underlying diagrammatic perturbation
theory, and hence our main results are valid to arbitrary loop order.Comment: 15 pages, 1 figur
Renormalized field theory of collapsing directed randomly branched polymers
We present a dynamical field theory for directed randomly branched polymers
and in particular their collapse transition. We develop a phenomenological
model in the form of a stochastic response functional that allows us to address
several interesting problems such as the scaling behavior of the swollen phase
and the collapse transition. For the swollen phase, we find that by choosing
model parameters appropriately, our stochastic functional reduces to the one
describing the relaxation dynamics near the Yang-Lee singularity edge. This
corroborates that the scaling behavior of swollen branched polymers is governed
by the Yang-Lee universality class as has been known for a long time. The main
focus of our paper lies on the collapse transition of directed branched
polymers. We show to arbitrary order in renormalized perturbation theory with
-expansion that this transition belongs to the same universality
class as directed percolation.Comment: 18 pages, 7 figure
Non-Abelian Giant Gravitons
We argue that the giant graviton configurations known from the literature
have a complementary, microscopical description in terms of multiple
gravitational waves undergoing a dielectric (or magnetic moment) effect. We
present a non-Abelian effective action for these gravitational waves with
dielectric couplings and show that stable dielectric solutions exist. These
solutions agree in the large limit with the giant graviton configurations
in the literature.Comment: 8 pages. Contribution to the proceedings of the RTN workshop in
Leuven, Belgium, September 200
Molecular analysis and regulation of the Clostridium acetobutylicum glutamine synthetase gene glnA cloned in Escherichia coli
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