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The behavior of the structure function by using the effective exponent at low x

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Abstract.

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at NnLO analysis. The relationship between the nonlinear behavior and color dipole model is considered based on an effective exponent behavior at low x values. We obtain the effective exponent at NLO analysis from the decoupled behavior of the distribution functions. The proton structure function compared with HERA data from the inclusive structure function \( F_{2}(x,Q^{2})\) for \( x \leq 10^{-2}\) and \( 5 \leq Q^{2} \leq 250\) GeV2.

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Authors and Affiliations

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

    B. Rezaei & G. R. Boroun

Authors
  1. B. Rezaei
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  2. G. R. Boroun
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Corresponding author

Correspondence to G. R. Boroun.

Additional information

Communicated by Xin-Nian Wang

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]

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Rezaei, B., Boroun, G.R. The behavior of the structure function by using the effective exponent at low x . Eur. Phys. J. A 55, 66 (2019). https://doi.org/10.1140/epja/i2019-12734-2

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