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The unintegrated gluon distribution from the modified BK equation

  • theoretical physics
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Abstract.

We investigate the recently proposed non-linear equation for the unintegrated gluon distribution function which includes the subleading effects at small x. We obtained numerically the solution to this equation in (x,k) space, and also the integrated gluon density. The subleading effects affect strongly the normalization and the x and k dependence of the gluon distribution. We show that the saturation scale Qs(x), which is obtained from this model, is consistent with the one used in the saturation model by Golec-Biernat and Wüsthoff. We also estimate the non-linear effects by looking at the relative normalization of the solutions to the linear and non-linear equations. It turns out that the differences are quite large even in the nominally dilute regime, that is when \(Q^2 \gg Q_{\mathrm {s}}^2\). Finally, we calculate the dipole-nucleon cross section.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik, Universität Hamburg, Hamburg, Germany

    K. Kutak

  2. Nuclear Theory Group, Brookhaven National Laboratory, NY 11973, Upton, USA

    A. M. Staśto

  3. Institute of Nuclear Physics, Radzikowskiego 152, Kraków, Poland

    K. Kutak & A. M. Staśto

  4. Theory Group, DESY, Notkestrasse 85, 22607, Hamburg, Germany

    A. M. Staśto

Authors
  1. K. Kutak
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  2. A. M. Staśto
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Correspondence to K. Kutak.

Additional information

Received: 30 August 2004, Revised: 17 February 2005, Published online: 11 May 2005

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Kutak, K., Staśto, A.M. The unintegrated gluon distribution from the modified BK equation. Eur. Phys. J. C 41, 343–351 (2005). https://doi.org/10.1140/epjc/s2005-02223-0

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