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Scaling of transverse energies and multiplicities with atomic number and energy in ultrarelativistic nuclear collisions
High Energy Physics - Phenomenology · Submitted 21 Sep 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The main emphasis of the study is at LHC and RHIC energies but it is observed that even at SPS energies this approach leads to results which are not unreasonable: what is usually described as a completely soft nonperturbative process can also be described in terms of gluons and quarks.
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The abstract, sentence by sentence
We compute how the initial energy density and produced gluon, quark and antiquark numbers scale with atomic number and beam energy in ultrarelativistic heavy ion collisions. The computation is based on the argument that the effect of all momentum scales can be estimated by performing the computation at one transverse momentum scale, the saturation momentum. The initial numbers are converted to final ones by assuming kinetic thermalisation and adiabatic expansion. The main emphasis of the study is at LHC and RHIC energies but it is observed that even at SPS energies this approach leads to results which are not unreasonable: what is usually described as a completely soft nonperturbative process can also be described in terms of gluons and quarks. The key element is the use of the saturation scale.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute how the initial energy density and produced gluon, quark and antiquark numbers scale with atomic number and beam energy in ultrarelativistic heavy ion collisions. | contribution 1.00 | 0.95 | 0.13 | asserted 0.99 |
| s1 | The computation is based on the argument that the effect of all momentum scales can be estimated by performing the computation at one transverse momentum scale, the saturation momentum. | method 1.00 | 0.68 | 0.08 | asserted 0.96 |
| s2 | The initial numbers are converted to final ones by assuming kinetic thermalisation and adiabatic expansion. | method 1.00 | 0.75 | 0.05 | asserted 0.95 |
| s3 | The main emphasis of the study is at LHC and RHIC energies but it is observed that even at SPS energies this approach leads to results which are not unreasonable: what is usually described as a completely soft nonperturbative process can also be described in terms of gluons and quarks. | result 0.62 | 0.85 | 0.26 | asserted 0.72 |
| s4 | The key element is the use of the saturation scale. | contribution 0.48 | 0.51 | 0.21 | asserted 1.00 |
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The paper
Original abstract
We compute how the initial energy density and produced gluon, quark and antiquark numbers scale with atomic number and beam energy in ultrarelativistic heavy ion collisions. The computation is based on the argument that the effect of all momentum scales can be estimated by performing the computation at one transverse momentum scale, the saturation momentum. The initial numbers are converted to final ones by assuming kinetic thermalisation and adiabatic expansion. The main emphasis of the study is at LHC and RHIC energies but it is observed that even at SPS energies this approach leads to results which are not unreasonable: what is usually described as a completely soft nonperturbative process can also be described in terms of gluons and quarks. The key element is the use of the saturation scale.
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References
How the literature uses it
30 arXiv papers cite this in 50 sentences
Papers citing it · 33 sentences without a confident label
Uses its method or tool 7 papers
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We obtain the primary partonic transverse energy production and the formation time in central AA collisions from the EKRT model [ref] .
Elliptic flow from pQCD + saturation + hydro model · Introduction · 0.80
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The saturation scale is determined as $p_0=p_sat$ from a saturation condition [ref] $N_AA(p_0, √(s))·π/p_0^2 = c ·πR_A^2,$ where $N_AA(p_0, √(s))$ is the average number of partons produced at $|y|≤0.5$ and $p_T≥p_0$.
Hadron multiplicities, pT-spectra and net-baryon number in central Pb+Pb collisions at the LHC · Introduction · 0.92
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Our reference baseline is central collisions, for which we obtain the initial densities from the EKRT minijet (final state) saturation model [ref] .
Elliptic flow in nuclear collisions at the Large Hadron Collider · Initial state and centrality selection · 0.94
Uses its data or values 1 paper
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The overall normalization constant $K$ and the initial time $τ_0 = 0.17$ fm are taken from the EKRT pQCD+saturation model [ref] .
Elliptic flow from event-by-event hydrodynamics with fluctuating initial state · Event-by-event hydrodynamics framework · 0.80
Compares with it 3 papers
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The ratios are compared to hydrodynamical calculations with EKRT initial conditions [ref] and different parametrisations of the temperature dependence of $η/s$ [ref] .
Energy dependence and fluctuations of anisotropic flow in Pb-Pb collisions at $\mathbf{\sqrt{{\textit s}_\text{NN}}} = \mathbf{5.02}$ and $\mathbf{2.76}$ TeV · Collision energy, transverse momentum and centrality dependence · 0.90
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A similar scaling is also noticed in the EKRT initial condition model based on pQCD particle production and saturation physics [ref] .
Partonic transport model application to heavy flavor · The original (boost-invariant) model · 0.89
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The data are also compared to the EKRT model [ref] .
Measurement of transverse energy at midrapidity in Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$ TeV · Results · 1.00
Cites it as background 5 papers
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The EKRT (Eskola-Kajantie-Ruuskanen-Tuominen) model [ref] , which treats the nuclear collisions as collisions of parton clouds, and supplements a perturbative QCD (pQCD) calculation for the production of few-GeV partons (minijets) [ref] with a collinear factorization -inspired QCD saturation mechanism [ref] for regulating the small-$p_T$ minijet production ($p_T$ being transverse momentum), is an example of such a QCD-based initial state modeling with predictive power.
Effects of saturation and fluctuating hotspots for flow observables in ultrarelativistic heavy-ion collisions · Introduction · 0.88
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Works into this direction include the developments of the IP-Sat+MUSIC (Impact parameter dependent saturation + MUScl for Ion Collisions) model [ref] , the EKRT (Eskola-Kajantie-Ruuskanen-Tuominen) model [ref] , the EPOS (Energy conservation + Parallel scattering + factOrization + Saturation) model [ref] , the AMPT (A Multi-Phase Transport) model [ref] , and the Dynamical Core-Corona Initialization model [ref] with initial state generated by Pythia Angantyr [ref] , as well as initial state models such as in Refs. [ref] .
MC-EKRT: Monte Carlo event generator with saturated minijet production for initializing 3+1 D fluid dynamics in high energy nuclear collisions · Introduction · 0.90
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So far initial state models based on saturation physics, such as IP-Glasma [ref] , EKRT [ref] or MC-KLN [ref] have primarily been designed to describe the initial state around mid-rapidity in 2+1D hydro simulations.
The McDIPPER: A novel saturation-based 3+1D initial state model for Heavy Ion Collisions · Introduction · 0.83
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