An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method
Abstract
Nonlinear QCD evolution equations are essential tools in understanding the saturation of partons at small Bjorken , as they are supposed to restore an upper bound of unitarity for the cross section of high energy scattering. In this paper, we present an analytical solution of Balitsky-Kovchegov (BK) equation using the homogeneous balance method. The obtained analytical solution is similar to the solution of a traveling wave. By matching the gluon distribution in the dilute region which is determined from the global analysis of experimental data (CT14 analysis), we get a definitive solution of the dipole-proton forward scattering amplitude in the momentum space. Based on the acquired scattering amplitude and the behavior of geometric scaling, we present also a new estimated saturation scale .
Keywords
Cite
@article{arxiv.2009.13325,
title = {An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method},
author = {Xiaopeng Wang and Yirui Yang and Wei Kou and Rong Wang and Xurong Chen},
journal= {arXiv preprint arXiv:2009.13325},
year = {2021}
}
Comments
6 pages, 5 figures