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

E. Levin; M. Lublinsky

doi:10.1016/j.nuclphysa.2003.10.020

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

E. Levin
, M. Lublinsky

Research output: Contribution to journal › Article › peer-review

90 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	191-211
Number of pages	21
Journal	Nuclear Physics A
Volume	730
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysa.2003.10.020
State	Published - 12 Jan 2004
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysa.2003.10.020

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@article{f3bd2f4317364da5815957b231a61f7f,

title = "A linear evolution for non-linear dynamics and correlations in realistic nuclei",

abstract = "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.",

author = "E. Levin and M. Lublinsky",

note = "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.",

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doi = "10.1016/j.nuclphysa.2003.10.020",

language = "English",

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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 - https://www.scopus.com/pages/publications/0346268936

U2 - 10.1016/j.nuclphysa.2003.10.020

DO - 10.1016/j.nuclphysa.2003.10.020

M3 - Article

AN - SCOPUS:0346268936

SN - 0375-9474

VL - 730

SP - 191

EP - 211

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1-2

ER -

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

Abstract

ASJC Scopus subject areas

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