Gluon density and $F_{2}$ functions from BK equation with impact parameter dependence

Abstract

In this note we fix the preliminary results obtained in the study of gluon density function of the paper \cite{bom3}. The LO BK equation for unintegrated gluon density with impact parameter dependence is considered in order to fix the parameters of the proposed model. In particular the form of initial condition for the equations of proton-proton scattering from \cite{bom3} is determined, which is similar to the form of fenomenological GBW ansatz. The gluon density function and $F_{2}$ function are also calculated and compared with the results for the gluon density and $F_{2}$ functions from the GRV parameterization for different values of $Q^2$. It is shown, that the results for $F_2$ structure function of the considered model are in the good accordance with the results obtained from the GRV parameterization of parton densities.