TY - JOUR

T1 - Solution to the Balitsky-Kovchegov equation in the saturation domain

AU - Kozlov, M.

AU - Levin, E.

N1 - Funding Information:
We want to thank Asher Gotsman and Al Mueller for very useful discussions on the subject of this paper. This research was supported in part by the Israel Science Foundation, founded by the Israeli Academy of Science and Humanities.

PY - 2006/1/9

Y1 - 2006/1/9

N2 - The solution to the Balitsky-Kovchegov equation is found in the deep saturation domain. The controversy between different approaches regarding the asymptotic behaviour of the scattering amplitude is solved. It is shown that the dipole amplitude behaves as 1 - exp(-z + lnz) with z = ln (r2 Qs2) (r-size of the dipole, Qs is the saturation scale) in the deep saturation region. This solution is developed from the scaling solution to the homogeneous Balitsky-Kovchegov equation. The dangers associated with making simplifications in the BFKL kernel, to investigate the asymptotic behaviour of the scattering amplitude, is pointed out. In particular, the fact that the Balitsky-Kovchegov equation belongs to the Fisher-Kolmogorov-Petrovsky-Piscounov type of equation, needs further careful investigation.

AB - The solution to the Balitsky-Kovchegov equation is found in the deep saturation domain. The controversy between different approaches regarding the asymptotic behaviour of the scattering amplitude is solved. It is shown that the dipole amplitude behaves as 1 - exp(-z + lnz) with z = ln (r2 Qs2) (r-size of the dipole, Qs is the saturation scale) in the deep saturation region. This solution is developed from the scaling solution to the homogeneous Balitsky-Kovchegov equation. The dangers associated with making simplifications in the BFKL kernel, to investigate the asymptotic behaviour of the scattering amplitude, is pointed out. In particular, the fact that the Balitsky-Kovchegov equation belongs to the Fisher-Kolmogorov-Petrovsky-Piscounov type of equation, needs further careful investigation.

UR - http://www.scopus.com/inward/record.url?scp=29744463102&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2005.09.018

DO - 10.1016/j.nuclphysa.2005.09.018

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AN - SCOPUS:29744463102

SN - 0375-9474

VL - 764

SP - 498

EP - 514

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1-4

ER -