6 research outputs found
Nonlinear evolution and saturation for heavy nuclei in DIS
The nonlinear evolution equation for the scattering amplitude of colour
dipole off the heavy nucleus is solved in the double logarithmic approximation.
It is found that if the initial parton density in a nucleus is smaller then
some critical value, then the scattering amplitude is a function of one scaling
variable inside the saturation region, whereas if it is greater then the
critical value, then the scaling behaviour breaks down. Dependence of the
saturation scale on the number of nucleons is discussed as well.Comment: 12 pages, 1 figur
Parton densities and saturation scale from non-linear evolution in DIS on nuclei
We present the numerical solution of the non-linear evolution equation for
DIS on nuclei for . We demonstrate that the solution
to the non-linear evolution equation is quite different from the Glauber -
Mueller formula which was used as the initial condition for the equation.
We illustrate the energy profit for performing DIS experiments on nuclei.
However, it turns out that the gain is quite modest: for the same parton density.
We find that the saturation scale . For gold the
saturation scale at . Such a large value
leads to considerable contribution of the high density QCD phase to RHIC data
and reveals itself in essential damping for both and .Comment: 19 pages, 28 figure
QCD motivated approach to soft interactions at high energies: nucleus-nucleus and hadron-nucleus collisions
In this paper we consider nucleus-nucleus and hadron-nucleus reactions in the
kinematic region: g A^{1/3} G_{3\pom} \exp\Lb \Delta Y\Rb \approx 1
G^2_{3\pom} \exp\Lb \Delta Y\Rb \approx 1 , where G_{3\pom} is the triple
Pomeron coupling, is the vertex of Pomeron nucleon interaction, and 1 +
\Delta_{\pom} denotes the Pomeron intercept. We find that in this kinematic
region the traditional Glauber-Gribov eikonal approach is inadequate. We show
that it is necesssary to take into account inelastic Glauber corrections, which
can not be expressed in terms of the nucleon-nucleon scattering amplitudes. In
the wide range of energies where \alpha'_\pom Y
\ll R^2_A,the scattering amplitude for the nucleus-nucleus interaction, does
not depend on the details of the nucleon-nucleon interaction at high energy. In
the formalism we present, the only (correlated) parameters that are required to
describe the data are \Delta_{\pom}, G_{3\pom} and . These parameters
were taken from our description of the nucleon-nucleon data at high energies
\cite{GLMM}.The predicted nucleus modification factor is compared with RHIC
Au-Au data at Estimates for LHC energies are presented and
discusssed.Comment: 18pp. 14 fugure