https://doi.org/10.1140/epjc/s10052-018-5957-z
Regular Article - Theoretical Physics
CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS
1
Departamento de Física, Universidad Técnica Federico Santa María, Avda. Espana 1680, Casilla, 110-V, Valparaíso, Chile
2
Centro Científico-Tecnológico de Valparaíso, Avda. España 1680, Casilla 110-V, Valparaíso, Chile
3
Department of Particle Physics, School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Science, Tel Aviv University, 69978, Tel Aviv, Israel
4
Escuela de Ingeniería Civil, Facultad de Ingeniería, Universidad de Valparaíso, General Cruz 222, Valparaíso, Chile
* e-mail: leving@post.tau.ac.il
** e-mail: eugeny.levin@usm.cl
Received:
1
March
2018
Accepted:
31
May
2018
Published online:
9
June
2018
In the paper we discussed the evolution equations for diffractive production in the framework of CGC/saturation approach, and found the analytical solutions for several kinematic regions. The most impressive features of these solutions are, that diffractive production does not manifest geometric scaling behaviour i.e. being a function of one variable. Based on these solutions, we suggest an impact parameter dependent saturation model, which is suitable for describing diffraction production both deep in the saturation region, and in the vicinity of the saturation scale. Using the model we attempted to fit the combined data on diffraction production from H1 and ZEUS collaborations. We found that we are able describe both 
and 
dependence, as well as Q behavior of the measured cross sections. In spite of the sufficiently large 
we believe that our description provides an initial impetus to find a fit of the experimental data, based on the solution of the CGC/saturation equation, rather than on describing the diffraction system in simplistic manner, assuming that only quark-antiquark pair and one extra gluon, are produced.
© The Author(s), 2018
