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

TL;DR

This paper models the gluon density and structure functions in nuclei using the LO BK equation with impact parameter dependence, providing new parameterizations and insights into saturation scales across different nuclei.

Contribution

It introduces a local impact parameter-dependent BK equation approach for nuclei, deriving new saturation scale expressions and comparing gluon density models.

Findings

Calculated gluon densities and F2 structure functions for various nuclei.

Derived impact parameter and energy-dependent saturation scale formulas.

Compared results with existing gluon density parameterizations.

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.