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
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AN - SCOPUS:82655178040
SN - 0375-9474
VL - 872
SP - 245
EP - 264
JO - Nuclear Physics A
JF - Nuclear Physics A
IS - 1
ER -