TY - JOUR

T1 - High density QCD and nucleus-nucleus scattering deeply in the saturation region

AU - Kormilitzin, Andrey

AU - Levin, Eugene

AU - Miller, Jeremy S.

N1 - Funding Information:
This work was supported in part by the Fondecyt (Chile) grant # 1100648. This research was supported by CENTRA, and the Instituto Superior Técnico (IST), Lisbon. One of us (JM) would like to thank Tel Aviv University for their hospitality on this visit, during the time of the writing of this paper.

PY - 2011/6/1

Y1 - 2011/6/1

N2 - In this paper we solve the equations that describe nucleus-nucleus scattering, in high density QCD, in the framework of the BFKL Pomeron Calculus. We found that (i) the contribution of short distances to the opacity for nucleus-nucleus scattering dies at high energies, (ii) the opacity tends to unity at high energy, and (iii) the main contribution that survives comes from soft (long distance) processes for large values of the impact parameter. The corrections to the opacity Ω(Y,b)=1 were calculated and it turns out that they have a completely different form, namely (1-Ω→exp(-Const√Y)) than the opacity that stems from the Balitsky-Kovchegov equation, which is (1-Ω→exp(-ConstY2)). We reproduce the formula for the nucleus-nucleus cross section that is commonly used in the description of nucleus-nucleus scattering, and there is no reason why it should be correct in the Glauber-Gribov approach.

AB - In this paper we solve the equations that describe nucleus-nucleus scattering, in high density QCD, in the framework of the BFKL Pomeron Calculus. We found that (i) the contribution of short distances to the opacity for nucleus-nucleus scattering dies at high energies, (ii) the opacity tends to unity at high energy, and (iii) the main contribution that survives comes from soft (long distance) processes for large values of the impact parameter. The corrections to the opacity Ω(Y,b)=1 were calculated and it turns out that they have a completely different form, namely (1-Ω→exp(-Const√Y)) than the opacity that stems from the Balitsky-Kovchegov equation, which is (1-Ω→exp(-ConstY2)). We reproduce the formula for the nucleus-nucleus cross section that is commonly used in the description of nucleus-nucleus scattering, and there is no reason why it should be correct in the Glauber-Gribov approach.

KW - BFKL Pomeron

KW - High density QCD

KW - Non-linear equation

KW - Nucleus-nucleus collisions

UR - http://www.scopus.com/inward/record.url?scp=79957858224&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2011.04.011

DO - 10.1016/j.nuclphysa.2011.04.011

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AN - SCOPUS:79957858224

SN - 0375-9474

VL - 859

SP - 87

EP - 113

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1

ER -