Parton densities and saturation scale from nonlinear evolution in DIS on nuclei

E. Levin; M. Lublinsky

doi:10.1016/S0375-9474(01)01132-0

Parton densities and saturation scale from nonlinear evolution in DIS on nuclei

E. Levin, M. Lublinsky

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

50 Scopus citations

Abstract

We present the numerical solution of the nonlinear evolution equation for DIS on nuclei for x=10^-2-10^-7. We demonstrate that the solution to the nonlinear evolution equation is quite different from the Glauber-Mueller formula which was used as the initial condition for the equation. We illustrate the energy profit for performing DIS experiments on nuclei. However, it turns out that the gain is quite modest: x_Au≃5x_proton for the same parton density. We find that the saturation scale Q²_s∝A^1/3. For gold the saturation scale Q_s,Au≃1.5 GeV at x=10^-3. Such a large value leads to considerable contribution of the high-density QCD phase to RHIC data and reveals itself in essential damping for both xG_A and F_2A.

Original language	English
Pages (from-to)	833-850
Number of pages	18
Journal	Nuclear Physics A
Volume	696
Issue number	3-4
DOIs	https://doi.org/10.1016/S0375-9474(01)01132-0
State	Published - 31 Dec 2001
Externally published	Yes

Keywords

12.38.Bx
13.60.-r
24.8.5.+p
Deep inelastic structure functions
Nonlinear evolution equation
Perturbative QCD
Saturation
Saturation scale

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0375-9474(01)01132-0

Cite this

@article{1a16f5361da84efda01894069eac6962,

title = "Parton densities and saturation scale from nonlinear evolution in DIS on nuclei",

abstract = "We present the numerical solution of the nonlinear evolution equation for DIS on nuclei for x=10-2-10-7. We demonstrate that the solution to the nonlinear evolution equation is quite different from the Glauber-Mueller formula which was used as the initial condition for the equation. We illustrate the energy profit for performing DIS experiments on nuclei. However, it turns out that the gain is quite modest: xAu≃5xproton for the same parton density. We find that the saturation scale Q2s∝A1/3. For gold the saturation scale Qs,Au≃1.5 GeV at x=10-3. Such a large value leads to considerable contribution of the high-density QCD phase to RHIC data and reveals itself in essential damping for both xGA and F2A.",

keywords = "12.38.Bx, 13.60.-r, 24.8.5.+p, Deep inelastic structure functions, Nonlinear evolution equation, Perturbative QCD, Saturation, Saturation scale",

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

note = "Funding Information: This research was supported in part by the BSF grant # 9800276, by the GIF grant # I-620-22.14/1999 and by Israeli Science Foundation, founded by the Israeli Academy of Science and Humanities.",

year = "2001",

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doi = "10.1016/S0375-9474(01)01132-0",

language = "English",

volume = "696",

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T1 - Parton densities and saturation scale from nonlinear evolution in DIS on nuclei

AU - Levin, E.

AU - Lublinsky, M.

N1 - Funding Information: This research was supported in part by the BSF grant # 9800276, by the GIF grant # I-620-22.14/1999 and by Israeli Science Foundation, founded by the Israeli Academy of Science and Humanities.

PY - 2001/12/31

Y1 - 2001/12/31

N2 - We present the numerical solution of the nonlinear evolution equation for DIS on nuclei for x=10-2-10-7. We demonstrate that the solution to the nonlinear evolution equation is quite different from the Glauber-Mueller formula which was used as the initial condition for the equation. We illustrate the energy profit for performing DIS experiments on nuclei. However, it turns out that the gain is quite modest: xAu≃5xproton for the same parton density. We find that the saturation scale Q2s∝A1/3. For gold the saturation scale Qs,Au≃1.5 GeV at x=10-3. Such a large value leads to considerable contribution of the high-density QCD phase to RHIC data and reveals itself in essential damping for both xGA and F2A.

AB - We present the numerical solution of the nonlinear evolution equation for DIS on nuclei for x=10-2-10-7. We demonstrate that the solution to the nonlinear evolution equation is quite different from the Glauber-Mueller formula which was used as the initial condition for the equation. We illustrate the energy profit for performing DIS experiments on nuclei. However, it turns out that the gain is quite modest: xAu≃5xproton for the same parton density. We find that the saturation scale Q2s∝A1/3. For gold the saturation scale Qs,Au≃1.5 GeV at x=10-3. Such a large value leads to considerable contribution of the high-density QCD phase to RHIC data and reveals itself in essential damping for both xGA and F2A.

KW - 12.38.Bx

KW - 13.60.-r

KW - 24.8.5.+p

KW - Deep inelastic structure functions

KW - Nonlinear evolution equation

KW - Perturbative QCD

KW - Saturation

KW - Saturation scale

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U2 - 10.1016/S0375-9474(01)01132-0

DO - 10.1016/S0375-9474(01)01132-0

M3 - Article

AN - SCOPUS:0035980960

SN - 0375-9474

VL - 696

SP - 833

EP - 850

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 3-4

ER -

Parton densities and saturation scale from nonlinear evolution in DIS on nuclei

Abstract

Keywords

ASJC Scopus subject areas

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