TY - JOUR

T1 - A linear evolution for non-linear dynamics and correlations in realistic nuclei

AU - Levin, E.

AU - Lublinsky, M.

N1 - Funding Information:
We wish to thank Asher Gotsman, Yura Kovchegov, Alex Kovner, Uri Maor and Urs Wiedemann for very fruitful discussions. E.L. is grateful to the DESY Theory Division for their hospitality. E.L. is indebted to the Alexander-von-Humboldt Foundation for the award that gave him a possibility to work on low x physics during the last year. This research was supported in part by the GIF grant # I-620-22.14/1999, and by the Israel Science Foundation, founded by the Israeli Academy of Science and Humanities.

PY - 2004/1/12

Y1 - 2004/1/12

N2 - A new approach to high energy evolution based on a linear equation for QCD generating functional is developed. This approach opens a possibility for systematic study of correlations inside targets, and, in particular, inside realistic nuclei.Our results are presented as three new equations. The first one is a linear equation for QCD generating functional (and for scattering amplitude) that sums the 'fan' diagrams. For the amplitude this equation is equivalent to the non-linear Balitsky-Kovchegov equation.The second equation is a generalization of the Balitsky-Kovchegov non-linear equation to interactions with realistic nuclei. It includes a new correlation parameter which incorporates, in a model-dependent way, correlations inside the nuclei.The third equation is a non-linear equation for QCD generating functional (and for scattering amplitude) that in addition to the 'fan' diagrams sums the Glauber-Mueller multiple rescatterings.

AB - A new approach to high energy evolution based on a linear equation for QCD generating functional is developed. This approach opens a possibility for systematic study of correlations inside targets, and, in particular, inside realistic nuclei.Our results are presented as three new equations. The first one is a linear equation for QCD generating functional (and for scattering amplitude) that sums the 'fan' diagrams. For the amplitude this equation is equivalent to the non-linear Balitsky-Kovchegov equation.The second equation is a generalization of the Balitsky-Kovchegov non-linear equation to interactions with realistic nuclei. It includes a new correlation parameter which incorporates, in a model-dependent way, correlations inside the nuclei.The third equation is a non-linear equation for QCD generating functional (and for scattering amplitude) that in addition to the 'fan' diagrams sums the Glauber-Mueller multiple rescatterings.

UR - http://www.scopus.com/inward/record.url?scp=0346268936&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2003.10.020

DO - 10.1016/j.nuclphysa.2003.10.020

M3 - Article

AN - SCOPUS:0346268936

VL - 730

SP - 191

EP - 211

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1-2

ER -