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Shadowing correction to the gluon distribution behavior at small x

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Abstract

We determined the saturation exponent of the gluon distribution using the solution of the QCD nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (NLDGLAP) evolution equation at small x . The very small-x behavior of the gluon distribution is obtained by solving the Gribov, Levin, Ryskin, Mueller and Qiu (GLR-MQ) evolution equation with the nonlinear shadowing term incorporated. The form of the initial condition for the equation is determined. We find, with decreasing x , the emergence of a singular behavior and the eventual taming (at R = 5 GeV^-1) and the essential taming (at R = 2 GeV^-1) of this singular behavior by the shadowing term. The nonlinear gluon density functions are calculated and compared with the results for the integrated gluon density from the Balitsky-Kovchegov (BK) equation for the different values of Q2. It is shown that the results for the gluon density function are comparable with the results obtained from the BK equation solution. Also we show that for each x , the Q2-dependence of the data is well described by gluon shadowing corrections to the GLR-MQ equation. The resulting analytic expression allows us to predict the logarithmic derivative \( {\frac{{\partial F^{s}_{2} (x,Q^{2})}}{{\partial \ln Q^{2}}}}\) and to compare the results with H1 data and a QCD analysis fit.

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Authors and Affiliations

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

    G. R. Boroun

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  1. G. R. Boroun
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Correspondence to G. R. Boroun.

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Communicated by Bo-Qiang Ma

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Boroun, G.R. Shadowing correction to the gluon distribution behavior at small x. Eur. Phys. J. A 42, 251 (2009). https://doi.org/10.1140/epja/i2009-10871-9

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  • DOI: https://doi.org/10.1140/epja/i2009-10871-9

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