On analytical solutions of the DIS structure functions in the framework of GLR-MQ-ZRS equation

Abstract

We computed the deep inelastic scattering (DIS) structure functions $F_2(x,Q^2)$ and $F_L(x,Q^2)$ in the framework of Gribov-Levin-Ryskin-Mueller-Qiu, Zhu-Ruan-Shen (GLR-MQ-ZRS) equation. Both $x$ and $Q^2$ evolutions of the structure functions are studied in the kinematic range of $10^{-6}\le x\le 10^{-2}$ and $5\le Q^2\le 100,Ge{V}^2$ respectively. we have suggested analytical solutions to the structure functions, our results are inspired by Regge like behaviour of gluons at small-x. The solutions of structure functions are obtained for two particular cases: (i) treating the strong coupling constant ${\alpha }_s$ as an arbitrary constant, and (ii) considering the $Q^2$ dependency of ${\alpha }_s$. Our predicted results are in good agreement with the latest available high precision HERA data.

16 pages, 3 figures