TY - JOUR

T1 - Geometric scaling behavior of the scattering amplitude for DIS with nuclei

AU - Kormilitzin, Andrey

AU - Levin, Eugene

AU - Tapia, Sebastian

N1 - Funding Information:
This work was supported in part by the Fondecyt (Chile) grant 1100648.

PY - 2011/12

Y1 - 2011/12

N2 - The main question, that we answer in this paper, is whether the initial condition can influence on the geometric scaling behavior of the amplitude for DIS at high energy. We re-write the non-linear Balitsky-Kovchegov equation in the form which is useful for treating the interaction with nuclei. Using the simplified BFKL kernel, we find the analytical solution to this equation with the initial condition given by the McLerran-Venugopalan formula. This solution does not show the geometric scaling behavior of the amplitude deeply in the saturation region. On the other hand, the BFKL Pomeron calculus with the initial condition at xA=1/mRA given by the solution to Balitsky-Kovchegov equation, leads to the geometric scaling behavior. The McLerran-Venugopalan formula is the natural initial condition for the Color Glass Condensate (CGC) approach. Therefore, our result gives a possibility to check experimentally which approach: CGC or BFKL Pomeron calculus, is more satisfactory.

AB - The main question, that we answer in this paper, is whether the initial condition can influence on the geometric scaling behavior of the amplitude for DIS at high energy. We re-write the non-linear Balitsky-Kovchegov equation in the form which is useful for treating the interaction with nuclei. Using the simplified BFKL kernel, we find the analytical solution to this equation with the initial condition given by the McLerran-Venugopalan formula. This solution does not show the geometric scaling behavior of the amplitude deeply in the saturation region. On the other hand, the BFKL Pomeron calculus with the initial condition at xA=1/mRA given by the solution to Balitsky-Kovchegov equation, leads to the geometric scaling behavior. The McLerran-Venugopalan formula is the natural initial condition for the Color Glass Condensate (CGC) approach. Therefore, our result gives a possibility to check experimentally which approach: CGC or BFKL Pomeron calculus, is more satisfactory.

KW - BFKL Pomeron calculus

KW - Color Glass Condensate

KW - Geometric scaling behavior

KW - Gluon saturation

KW - Non-linear evolution

UR - http://www.scopus.com/inward/record.url?scp=82655178040&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2011.09.021

DO - 10.1016/j.nuclphysa.2011.09.021

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:82655178040

SN - 0375-9474

VL - 872

SP - 245

EP - 264

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1

ER -