Physics Letters B 754 (2016) 144–150
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Probing Pb +Pb collisions at
√
S
NN
= 2760 GeV with spectators
Vipul Bairathi
a
, Sandeep Chatterjee
b,∗
, Md. Rihan Haque
a
, Bedangadas Mohanty
a
a
School of Physical Sciences, National Institute of Science Education and Research, Jatni, 752050, India
b
Theoretical Physics Division, Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata, 700064, India
a r t i c l e i n f o a b s t r a c t
Article history:
Received
30 August 2015
Received
in revised form 16 December 2015
Accepted
15 January 2016
Available
online 18 January 2016
Editor:
J.-P. Blaizot
There is event by event geometric as well as quantum fluctuations in the initial condition of heavy-
ion
collisions. The standard technique of analysing heavy-ion collisions in bins of centrality obtained
from final state multiplicity averages out the various initial configurations and thus restricts the study
to only a limited range of initial conditions. In this paper, we propose an additional binning in terms
of total spectator neutrons in an event. This offers us a key control parameter to probe events with
broader range of initial conditions providing us an opportunity to peep into events with rarer initial
conditions which otherwise get masked when analysed by centrality binning alone. We find that the
inclusion of spectator binning allows one to vary ε
2
and ε
3
independently. We observe that the standard
scaling relation between v
2
/ε
2
and
1
S
dN
ch
dη
exhibited by centrality bins is strongly broken by the spectator
neutron bins. Further, the acoustic scaling relation between ln
(
v
n
/ε
n
)
and transverse system size is also
broken- the strength of the breaking being sensitive to the binning procedure. The introduction of the
spectator binning allows us to tune over a wide range viscosity driven effects for events with varying
initial states but similar final state multiplicity.
© 2016 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
Of all the stages in a heavy-ion collision (HIC), the initial stage
is the least understood. However, in order to perform a sensitive
test of the theoretical framework, e.g. relativistic viscous hydro-
dynamics,
that correctly describes the evolution of the strongly
interacting matter produced in HIC experiments and thereof allows
unambiguous extraction of the medium properties, e.g. values of
the transport coefficients, require a precise knowledge of the ini-
tial
state (IS). It has been shown that depending on the choice
of the initial condition that one chooses to evolve the relativistic
hydrodynamic equations, the value of the extracted shear viscosity
to entropy density ratio at the RHIC 200 GeV can vary by a factor
of 2 [1–6].
The
nuclei used in HIC experiments are extended objects. This
results in event by event (E/E) geometrical fluctuations in addition
to the intrinsic quantum fluctuations of the nuclear wave function.
The geometry of the nucleus ensures that various characteristics of
the IS in HICs like the number of wounded nucleons N
part
, number
*
Corresponding author.
E-mail
addresses: vipul.bairathi@niser.ac.in (V. Bairathi), sandeepc@vecc.gov.in
(S. Chatterjee),
rihan.h@niser.ac.in (Md. Rihan Haque), bedanga@niser.ac.in
(B. Mohanty).
of binary collisions N
coll
, shape of the overlap region, say the ellip-
ticity
ε
2
, are all correlated with the impact parameter b. However,
none of the above IS collision attributes is directly observed in ex-
periments.
This makes the job to constrain the IS very challenging.
The standard method uses the final state (FS) charged particle mul-
tiplicity
to characterise the events into different centrality classes
corresponding to different ISs. However, the geometric and quan-
tum
E/E fluctuations in the IS result in appreciable variation of b,
N
part
, N
coll
, ε
2
etc., even within the same centrality bin. Thus, a
lack of proper knowledge of the IS is a major hindrance towards
carrying out precise comparisons between theory and experiments.
In this work, we focus on the spectators (those nucleons which do
not participate in the collision) and show that it is possible to ex-
tract
vital information of the IS by analysing them. The significant
role played by spectator asymmetry in the various experimental
observables and the possibility of selecting special initial config-
urations
in HIC using deformed U nuclei has been pointed out
recently [7,8]. In a study based on Monte Carlo Glauber model sim-
ulations
it was suggested that spectator asymmetry could be used
to trigger specific collision configurations called Body-Tip with suf-
ficient
magnetic field and much lower ellipticity which can lead to
the disentanglement of chiral magnetic effect from its dominant
background anisotropic flow in U + U collisions [7]. In Ref. [8] it
was demonstrated based on A Multi Phase Trasport (AMPT) model
simulations that spectator asymmetry could be utilised to identify
http://dx.doi.org/10.1016/j.physletb.2016.01.025
0370-2693/
© 2016 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
.