Physics Letters B 774 (2017) 351–356
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
One fluid to rule them all: Viscous hydrodynamic description of
event-by-event central p+p, p+Pb and Pb+Pb collisions at
√
s =5.02 TeV
Ryan D. Weller
a
, Paul Romatschke
a,b,∗
a
Department of Physics, University of Colorado, Boulder, CO 80309, USA
b
Center for Theory of Quantum Matter, University of Colorado, Boulder, CO 80309, USA
a r t i c l e i n f o a b s t r a c t
Article history:
Received
18 August 2017
Accepted
26 September 2017
Available
online 28 September 2017
Editor:
J.-P. Blaizot
The matter created in central p+p, p+Pb and Pb+Pb collisions at
√
s = 5.02 TeV is simulated event-
by-event
using the superSONIC model, which combines pre-equilibrium flow, viscous hydrodynamic
evolution and late-stage hadronic rescatterings. Employing a generalization of the Monte Carlo Glauber
model where each nucleon possesses three constituent quarks, superSONIC describes the experimentally
measured elliptic and triangular flow at central rapidity in all systems using a single choice for the
fluid parameters, such as shear and bulk viscosities. This suggests a common hydrodynamic origin of the
experimentally observed flow patterns in all high energy nuclear collisions, including p+p.
© 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP
3
.
1. Introduction
What are the properties of the matter created in ultrarelativis-
tic
ion collisions? Obtaining an answer to this question has been
one of the key goals of the high energy nuclear physics com-
munity
and the driving force behind the experimental heavy-ion
program at both the Relativistic Heavy Ion Collider (RHIC) and the
Large Hadron Collider (LHC). Much progress has been made, such
as the realization that the matter created in heavy-ion collisions
behaves more like a strongly interacting fluid, rather than a gas
of weakly-interacting quarks and gluons [1–4]. Some properties of
this strongly interacting QCD fluid, such as the shear viscosity co-
efficient
and the local speed of sound, have since been constrained
from model–data comparison and first-principles QCD calculations
alike [5–12]. Others, such as the minimum possible size for a
QCD fluid droplet, remain yet to be unambiguously determined.
Before the present decade, the mainstream expectation was that
a strongly interacting QCD fluid could only be formed in “large”
systems, such as those created in heavy-ion collisions. “Small” sys-
tems,
such as those formed in proton+nucleus or proton+pro-
ton
collisions, were not expected to flow. It thus came as a sur-
prise
to many when experimental data from proton+nucleus and
*
Corresponding author.
E-mail
address: paul.romatschke@colorado.edu (P. Romatschke).
proton+proton collisions both at RHIC and the LHC unambiguously
demonstrated the existence of flow in these small systems [13–17].
The
focus of the theory community has since shifted towards
understanding the origin of experimentally observed flow sig-
nals
in small systems. At present, there are two main schools of
thought. One maintains that while experimental evidence leaves
no doubt that there are flow-like signals in small systems, these
signals are unrelated to those observed in heavy-ion collisions
and are caused by either initial-state correlations [18–24], or non-
hydrodynamic
evolution, or non-standard final-state interactions
[25–29] or a combination of these. The other school of thought, on
which the present work will be based, adheres to Heraclit’s princi-
ple
of “Panta Rhei” (“Everything Flows”). According to Panta Rhei,
there is no fundamental difference between the experimental flow
signals in small and large systems, and both can be quantitatively
explained using the laws of hydrodynamics. (See Refs. [30,31] for
a discussion of why non-equilibrium hydrodynamics may be appli-
cable
to QCD fluid droplets as small as 0.15 fm.) Previous work on
this subject includes the prediction of flow signals in p+p [32–35],
p+Pb [35,36],
3
He+Au [37,38], p+Au and d+Au collisions [39] as
well as the hydrodynamic description of low momentum exper-
imental
data in small systems (see e.g. Refs. [40–42] for recent
examples).
One
of the main criticisms of the Panta Rhei approach to rela-
tivistic
ion collisions has been that a hydrodynamic description of
experimental data of one or two individual collision systems could
https://doi.org/10.1016/j.physletb.2017.09.077
0370-2693/
© 2017 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by
SCOAP
3
.