686 research outputs found
Universality of the saturation scale and the initial eccentricity in heavy ion collisions
Recent estimates that Color Glass Condensate initial conditions may generate
a larger initial eccentricity for noncentral relativistic heavy ion collisions
(relative to the initial eccentricity assumed in earlier hydrodynamic
calculations) have raised the possibility of a higher bound on the viscosity of
the Quark Gluon Plasma. We show that this large initial eccentricity results in
part from a definition of the saturation scale as proportional to the number of
nucleons participating in the collision. A saturation scale proportional to the
nuclear thickness function (and therefore independent of the probe) leads to a
smaller eccentricity, albeit still larger than the value used in hydrodynamic
models. Our results suggest that the early elliptic flow in heavy ion
collisions (unlike multiplicity distributions) is sensitive to the universality
of the saturation scale in high energy QCD.Comment: 5 pages, 3 figures, RevTE
Selection of human capital in metallurgical companies using information technology (IT)
Personnel selection is a process that takes place in a company in order to have better business performance and competitive advantage. Nowadays, companies have realized the importance of human capital as a necessity for survival in today’s competitive market. There are several methods for selecting staff, but this paper seeks to demonstrate that this selection can be done with the help of an expert system. Metallurgical companies face even greater challenges for managing personnel selection. This research will discover and test the key elements of management personnel selection and implementation of an expert system
Determination of nuclear parton distribution functions and their uncertainties at next-to-leading order
Nuclear parton distribution functions (NPDFs) are determined by global
analyses of experimental data on structure-function ratios F_2^A/F_2^{A'} and
Drell-Yan cross-section ratios \sigma_{DY}^A/\sigma_{DY}^{A'}. The analyses are
done in the leading order (LO) and next-to-leading order (NLO) of running
coupling constant \alpha_s. Uncertainties of the NPDFs are estimated in both LO
and NLO for finding possible NLO improvement. Valence-quark distributions are
well determined, and antiquark distributions are also determined at x<0.1.
However, the antiquark distributions have large uncertainties at x>0.2. Gluon
modifications cannot be fixed at this stage. Although the advantage of the NLO
analysis, in comparison with the LO one, is generally the sensitivity to the
gluon distributions, gluon uncertainties are almost the same in the LO and NLO.
It is because current scaling-violation data are not accurate enough to
determine precise nuclear gluon distributions. Modifications of the PDFs in the
deuteron are also discussed by including data on the proton-deuteron ratio
F_2^D/F_2^p in the analysis. A code is provided for calculating the NPDFs and
their uncertainties at given x and Q^2 in the LO and NLO.Comment: 15 pages, LaTeX, 22 eps files, to appear in PRC. A code for
calculating our nuclear parton distribution functions and their uncertainties
can be obtained from http://research.kek.jp/people/kumanos/nuclp.htm
JIMWLK evolution in the Gaussian approximation
We demonstrate that the Balitsky-JIMWLK equations describing the high-energy
evolution of the n-point functions of the Wilson lines (the QCD scattering
amplitudes in the eikonal approximation) admit a controlled mean field
approximation of the Gaussian type, for any value of the number of colors Nc.
This approximation is strictly correct in the weak scattering regime at
relatively large transverse momenta, where it reproduces the BFKL dynamics, and
in the strong scattering regime deeply at saturation, where it properly
describes the evolution of the scattering amplitudes towards the respective
black disk limits. The approximation scheme is fully specified by giving the
2-point function (the S-matrix for a color dipole), which in turn can be
related to the solution to the Balitsky-Kovchegov equation, including at finite
Nc. Any higher n-point function with n greater than or equal to 4 can be
computed in terms of the dipole S-matrix by solving a closed system of
evolution equations (a simplified version of the respective Balitsky-JIMWLK
equations) which are local in the transverse coordinates. For simple
configurations of the projectile in the transverse plane, our new results for
the 4-point and the 6-point functions coincide with the high-energy
extrapolations of the respective results in the McLerran-Venugopalan model. One
cornerstone of our construction is a symmetry property of the JIMWLK evolution,
that we notice here for the first time: the fact that, with increasing energy,
a hadron is expanding its longitudinal support symmetrically around the
light-cone. This corresponds to invariance under time reversal for the
scattering amplitudes.Comment: v2: 45 pages, 4 figures, various corrections, section 4.4 updated, to
appear in JHE
Gluon Saturation Effects at the Nuclear Surface: Inelastic Cross Section of Proton-Nucleus at Ultra High Energy Cosmic Ray domain
Considering the high-energy limit of the QCD gluon distribution inside a
nucleus, we calculate the proton-nucleus total inelastic cross section using a
simplified dipole model. We show that, if gluon saturation occurs in the
nuclear surface region, the total cross section of proton-nucleus collisions
increases more rapidly as a function of the incident energy compared to that of
a Glauber-type estimate. We discuss the implications of this with respect to
recent ultra-high-energy cosmic ray experiments.Comment: Published in Nuclear Physics A, 29 pages, 5 figures, 1 tabl
Random walks of partons in SU(N_c) and classical representations of color charges in QCD at small x
The effective action for wee partons in large nuclei includes a sum over
static color sources distributed in a wide range of representations of the
SU(N_c) color group. The problem can be formulated as a random walk of partons
in the N_c-1 dimensional space spanned by the Casimirs of SU(N_c). For a large
number of sources, k >> 1, we show explicitly that the most likely
representation is a classical representation of order O(\sqrt{k}). The quantum
sum over representations is well approximated by a path integral over classical
sources with an exponential weight whose argument is the quadratic Casimir
operator of the group. The contributions of the higher N_c-2 Casimir operators
are suppressed by powers of k. Other applications of the techniques developed
here are discussed briefly.Comment: 51 pages, includes 3 eps file
UHE tau neutrino flux regeneration while skimming the Earth
The detection of Earth-skimming tau neutrinos has turned into a very
promising strategy for the observation of ultra-high energy cosmic neutrinos.
The sensitivity of this channel crucially depends on the parameters of the
propagation of the tau neutrinos through the terrestrial crust, which governs
the flux of emerging tau leptons that can be detected. One of the
characteristics of this propagation is the possibility of regeneration through
multiple conversions, which are often neglected
in the standard picture. In this paper, we solve the transport equations
governing the propagation and compare the flux of emerging tau
leptons obtained allowing regeneration or not. We discuss the validity of the
approximation of neglecting the regeneration using different
scenarios for the neutrino-nucleon cross-sections and the tau energy losses.Comment: 8 pages, 8 figure
Counterterms for Linear Divergences in Real-Time Classical Gauge Theories at High Temperature
Real-time classical SU() gauge theories at non-zero temperature contain
linear divergences. We introduce counterterms for these divergences in the
equations of motion in the continuum and on the lattice. These counterterms can
be given in terms of auxiliary fields that satisfy local equations of motion.
We present a lattice model with 6+1D auxiliary fields that for IR-sensitive
quantities yields cut-off independent results to leading order in the coupling.
Also an approximation with 5+1D auxiliary fields is discussed.Comment: 10 pages, major change
Small-x Dipole Evolution Beyond the Large-N_c Limit
We present a method to include colour-suppressed effects in the Mueller
dipole picture. The model consistently includes saturation effects both in the
evolution of dipoles and in the interactions of dipoles with a target in a
frame-independent way.
When implemented in a Monte Carlo simulation together with our previous model
of energy--momentum conservation and a simple dipole description of initial
state protons and virtual photons, the model is able to reproduce to a
satisfactory degree both the gamma*-p cross sections as measured at HERA as
well as the total p-p cross section all the way from ISR energies to the
Tevatron and beyond
Energy dependence of the saturation scale and the charged multiplicity in pp and AA collisions
A natural framework to understand the energy dependence of bulk observables
from lower energy experiments to the LHC is provided by the Color Glass
Condensate, which leads to a "geometrical scaling" in terms of an energy
dependent saturation scale Q_s. The measured charged multiplicity, however,
seems to grow faster (~\sqrt{s}^0.3) in nucleus-nucleus collisions than it does
for protons (~\sqrt{s}^0.2), violating the expectation from geometric scaling.
We argue that this difference between pp and AA collisions can be understood
from the effect of DGLAP evolution on the value of the saturation scale, and is
consistent with gluon saturation observations at HERA.Comment: RevTeX, 8 pages, 4 figures. V2: modified discussion of fragmentation,
published in EPJ
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