https://doi.org/10.1140/epjc/s10052-023-11638-0
Regular Article - Theoretical Physics
Can 
corrections destroy the saturation of dipole densities?
1
Department of Particle Physics, Tel Aviv University, 69978, Tel Aviv, Israel
2
Departemento de Física, Universidad Técnica Federico Santa María, and Centro Científico- Tecnológico de Valparaíso, Casilla 110-V, Avda. Espana 1680, Valparaíso, Chile
a leving@tauex.tau.ac.il, eugeny.levin@usm.cl
Received:
21
March
2023
Accepted:
18
May
2023
Published online:
31
May
2023
In this paper we discuss a well known QCD result: the steep increase of Green’s function for exchange of n BFKL Pomerons 
where 
is the number of colours ,Y is the rapidity and 
is the intercept of the BFKL Pomeron. We consider this problem in the framework of the simple Pomeon models in zero transverse dimensions, which have two advantages :(i) they allow to take into account all shadowing corrections, including the summation of the Pomeron loops and (ii) they have the same as in QCD striking increase of 
. We found that the strength of shadowing corrections is not enough to stop the increase of the scattering amplitude with energy in contradiction to the unitarity constraints. Hence, our answer to the question in the title is positive. We believe that we need to search an approach beyond of the BFKL Pomeron calculus to treat corrections in Colour Glass Condensate effective theory.
© The Author(s) 2023
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