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Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution
High Energy Physics - Phenomenology · Submitted 14 Jul 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Calculating the resulting spectrum of produced gluons in p-A and A-A collisions, we establish that the nonlinear QCD evolution is unable to generate a Cronin type enhancement, and that it quickly erases any such enhancement which may be present at lower energies.
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The abstract, sentence by sentence
The non-linear evolution of dense partonic systems has been suggested as one of the novel physics mechanisms relevant to the dynamics of hadron-nucleus and nucleus-nucleus collisions at collider energies. Here we study to what extent the description of Cronin enhancement in the framework of this non-linear evolution is consistent with the recent observation in 200 AGeV d--Au collisions at the Relativistic Heavy Ion Collider. We solve the Balitsky-Kovchegov evolution equation numerically for several initial conditions encoding Cronin enhancement. We find that the properly normalized nuclear gluon distribution is suppressed at all momenta relative to that of a single nucleon. Calculating the resulting spectrum of produced gluons in p-A and A-A collisions, we establish that the nonlinear QCD evolution is unable to generate a Cronin type enhancement, and that it quickly erases any such enhancement which may be present at lower energies.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The non-linear evolution of dense partonic systems has been suggested as one of the novel physics mechanisms relevant to the dynamics of hadron-nucleus and nucleus-nucleus collisions at collider energies. | background 1.00 | 0.04 | 0.03 | hedged possibility 0.99 |
| s1 | Here we study to what extent the description of Cronin enhancement in the framework of this non-linear evolution is consistent with the recent observation in 200 AGeV d--Au collisions at the Relativistic Heavy Ion Collider. | contribution 0.93 | 0.57 | 0.04 | unclear 0.48 |
| s2 | We solve the Balitsky-Kovchegov evolution equation numerically for several initial conditions encoding Cronin enhancement. | method 0.99 | 0.96 | 0.02 | asserted 0.95 |
| s3 | We find that the properly normalized nuclear gluon distribution is suppressed at all momenta relative to that of a single nucleon. | result 1.00 | 0.94 | 0.10 | asserted 1.00 |
| s4 | Calculating the resulting spectrum of produced gluons in p-A and A-A collisions, we establish that the nonlinear QCD evolution is unable to generate a Cronin type enhancement, and that it quickly erases any such enhancement which may be present at lower energies. | result 0.98 | 0.95 | 0.94 | asserted 1.00 |
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The paper
Original abstract
The non-linear evolution of dense partonic systems has been suggested as one of the novel physics mechanisms relevant to the dynamics of hadron-nucleus and nucleus-nucleus collisions at collider energies. Here we study to what extent the description of Cronin enhancement in the framework of this non-linear evolution is consistent with the recent observation in 200 AGeV d--Au collisions at the Relativistic Heavy Ion Collider. We solve the Balitsky-Kovchegov evolution equation numerically for several initial conditions encoding Cronin enhancement. We find that the properly normalized nuclear gluon distribution is suppressed at all momenta relative to that of a single nucleon. Calculating the resulting spectrum of produced gluons in p-A and A-A collisions, we establish that the nonlinear QCD evolution is unable to generate a Cronin type enhancement, and that it quickly erases any such enhancement which may be present at lower energies.
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References
How the literature uses it
26 arXiv papers cite this in 31 sentences
Papers whose main result relates to this one's
States a conflicting result 1 paper
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We show that the numerical solution of the classical SU(3) Yang-Mills equations of motion in the McLerran-Venugopalan model for gluon production in central heavy ion collisions leads to a suppresion at low $p_t$ and an enhancement at the intermediate $p_t$ region as compared to peripheral heavy ion and pp collisions at the same energy.
The Cronin Effect, Quantum Evolution and the Color Glass Condensate · 0.88
Papers citing it · 21 sentences without a confident label
Compares with it 3 papers
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This is in contrast to the leading order calculations where the leading order BK evolution changes the asymptotic shape of the dipole amplitude, and consequently one obtains $R_pPb→1$ at moderate transverse momenta $k_⊥∼5…10$ GeV only at the initial condition [ref] .
Complete Next-to-Leading Order Calculation of Single Inclusive $\pi^0$ Production in Forward Proton-Nucleus Collisions · Nuclear modification at parton level · 0.81
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We find that this ratio behaves very similarly to the corresponding ratio in d+Au collisions, as measured at RHIC [ref] and theoretically studied in several publications [ref] : that is, it shows nuclear suppression at low momenta, $k_⊥< Q_s$, and nuclear enhancement at larger momenta, $k_⊥≳Q_s$, with the possible appearance of a (wide) Cronin peak near $k_⊥= Q_s$.
Saturation effects in SIDIS at very forward rapidities · Introduction · 0.96
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We note that the unpolarized evolution resummation parameter $ln(1/x)$ at $x=0.01$ is approximately equal to the polarized evolution parameter $ln^2 (1/x)$ at $x=0.1$, suggesting comparable accuracy for our helicity evolution with $x_0 = 0.1$ and the unpolarized small-$x$ evolution [ref] with the commonly used value of $x_0=0.01$ [ref] .
First analysis of world polarized DIS data with small-$x$ helicity evolution · Constraints from Polarized DIS Data · 0.90
Cites it as support 1 paper
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This is the ideal configuration for probing parton saturation effects, and indeed, saturation-based approaches were the only ones to correctly predict the suppression of forward particle production [ref] (as well as the azimuthal decorrelation of forward hadron pairs [ref] , described in the next sub-section).
The initial state of heavy-ion collisions · Single inclusive hadron yields and nuclear modification factors · 0.99
Cites it as background 4 papers
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In the following, we will concentrate on single inclusive hadron production at forward rapidity region in nucleon-nucleus (pA) collision [ref] .
Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order · Introduction · 0.94
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In terms of the numerical solution, the BK equation and its elaborated versions have been deeply investigated [ref] as its simpler nature than the JIMWLK equation.
Analytic solution of Balitsky-Kovchegov equation with running coupling constant using homogeneous balance method · Introduction · 0.84
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Using perturbative QCD, we would like to study particle production in high-energy proton-nucleus ($pA$) collisions in the kinematical regime where the produced particle is semi-hard to hard (meaning that its transverse momenta can be larger than the nuclear saturation momentum $Q_s$, but not much larger) and it propagates at forward rapidity in the proton fragmentation region (that is, it makes a very small angle w.r.t. the collision axis) [ref] .
CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order · Introduction · 0.96
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