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Shadowing correction; reduced cross-section; nonlinear Dokshitzer–Gribov–Lipatov–Altarelli–Parisi.

We analyse the derivative of the reduced cross-section $\dfrac{\partial \sigma^s_r}{\partial ln y}|_x$, using the nonlinear Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (NLDGLAP) evolution equation at small 𝑥. The small 𝑥 behaviour of the structure functions are obtained by solving the Gribov, Levin, Ryskin, Mueller and Qiu (GLR-MQ) evolution equation with the nonlinear shadowing term incorporated. We show that the strong rise corresponding to the linear QCD evolution equations, can be tamed by screening effects.

B Rezaei¹ G R Boroun¹

1. Physics Department, Razi University, Kermanshah 67149, Iran

Published

June 2014

Manuscript received

7 May 2013

Manuscript revised

22 December 2013

Accepted

8 January 2014

Early published

30 May 2014