Gluon density and $F_{2}$ functions from BK equation with local impact parameter dependence in DIS on nuclei

Abstract

The DIS process on nuclei is considered in the framework of LO BK equation with local impact parameter dependence. Solving BK equation parameters for initial conditions of GBW type found in \cite{Serg1} were used. Integrated gluon density function and $F_2$ nucleus structure function for different nuclei are calculated. Obtained results are compared with the different parameterizations of integrated gluon density function from \cite{Flor,Eskola1,Eskola2,Tywon}. The anomalous dimensions and saturation scales for different nuclei are calculated at different energies. Fitting obtained results, expressions for the form of saturation scale are obtained for the proton and different nuclei as functions of impact parameter and energy.