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Research Article

Dihadron Azimuthal Correlations in 200 GeV Au-Au and

2.76 TeV Pb-Pb Collisions

G. X. Zhang,

Y. C. Qian,

and B. C. Li

Institute of eoretical Physics, Shanxi University, Taiyuan 030006, China

College of Physics and Electronic Engineering, Shanxi University, Taiyuan 030000, China

Correspondence should be addressed to B. C. Li; bcli

th@yeah.net

Received  June ; Revised  August ; Accepted  August ; Published  August 

Academic Editor: Chen Wu

which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. e

publication of this article was funded by SCOAP



In a multisource thermal model, we detailedly show dihadron azimuthal correlations for –% and –% in Au-Au collisions





= 200GeV and over a centrality range from –% to –% in Pb-Pb collisions at





= 2.76TeV. e model can

approximately describe the azimuthal correlations of particles produced in the collisions. e 

𝑥

amplitude of the corresponding

source is magnied, and the source translates along the direction. e factor 

𝑥

, in most cases, increases with the increase of the

centrality in Pb-Pb collisions at





=2.76TeV.

1. Introduction

An important subject of high energy physics is to discuss

the strongly interacting matter and nuclear matter at high

temperature and high density by heavy-ion collisions at

ultrarelativistic energies [, ]. In the initial stage of the

collision, tremendous amounts of energy are accumulated

at a nite zone in a short time. en, they result in the

creation of a nearly perfect quark-gluon plasma (QGP),

which will undergo the hadronization and freeze-out and

will nally produce lots of observed particles []. As we

know, a description of strong nuclear interactions is quantum

chromodynamics (QCD). Studying QCD phase transition

and properties of quark matter is a main target of heavy-ion

collisions at relativistic heavy ion collider (RHIC) and large

hadron collider (LHC) []. But the evolution of the heavy-ion

collisions and the production of hadrons are very complicated

for us. In general, we can extract the evolution informa-

tion of the colliding system by analyzing the properties of

observable quantities, which contain multiplicity, transverse

momentum, polar and elliptic ow, and angular correlation,

and so on.

In recent years, a dihadron correlation has been one of

the hot topics in particle and nuclear physics. Experimen-

tally, RHIC and LHC have observed or will observe the

dihadron azimuthal correlations in proton-proton, proton-

nucleus, and nucleus-nucleus collisions. Some theoretical

investigations [–]givemanyvaluableandinteresting

results to explain the ridge phenomena, which were regarded

as a contribution from jet-medium interactions. In these

works, various models have been proposed. In this paper, we

would like to apply a multisource thermal model to discuss

azimuthal correlations of dihadron for dierent associated

transverse momentum 

assoc

𝑇

intervals in –% and –

%, which are measured in Au-Au collisions at





200GeV []. For a comparison, we will also use the model to

discuss the azimuthal correlations of the dihadron for a wide

centrality range in Pb-Pb collisions at





=2.76TeV [].

2. Dihadron Azimuthal Correlation in

the Model and Experiments

As a presupposition in the multisource thermal model

[–], the observed particles are projected isotropically

Hindawi Publishing Corporation

Advances in High Energy Physics

Volume 2014, Article ID 870614, 6 pages

http://dx.doi.org/10.1155/2014/870614

 Advances in High Energy Physics

012345

Δ𝜑

assoc

Au-Au 200 GeV

20–40%

(I/N

trig

)dN/dΔ𝜑

0.2–0.8 GeV/c

(a)

012345

Δ𝜑

assoc

(I/N

trig

)dN/dΔ𝜑

0.8–1.4 GeV/c

(b)

012345

8.0

8.5

9.0

9.5

10.0

Δ𝜑

assoc

(I/N

trig

)dN/dΔ𝜑

1.4–2.0 GeV/c

(c)

F : Dihadron azimuthal correlations for –% in Au-Au collisions at





= 200GeV. e symbols denote the data of the RHIC

[], and the lines are the modeling results.

from dierent or the same coordinates in a system of high-

energy collision. e emission coordinates compose a space

of emission sources, which are at a local equilibrium state. For

theparticlepairs,thenormaldistributionistakentocalculate

their spectra [, ]. e two particles may be considered

to be from two emission coordinates in one source or two

sources. Due to the interaction between the emissions, in

momentum space (

󸀠

𝑥

, 

󸀠

𝑦

, 

󸀠

𝑧

), the particle distribution is

given by



𝑥

=

𝑥



󸀠

𝑥

+

𝑥



𝑦

=

𝑦



󸀠

𝑦

+

𝑦

()

where 

𝑥

and 

𝑦

denote the amplitude change of the momen-

tum and 

𝑥

and 

𝑦

denote the translational amplitude. By the

Monte Carlo method, the particle momentum is



𝑥

=

𝑥





−2ln 

cos 2

+

𝑥



𝑦

=

𝑦





−2ln 

cos 2

+

𝑦

()

where is the standard deviation. We obtain the formulation

of the dihadron correlation,

=arctan 



𝑦



−2ln 

cos 2

+

𝑦

/



𝑥



−2ln 

cos 2

+

𝑥

/

.

()

Figures  and  show dihadron azimuthal correlations for

–% and –% in Au-Au collisions at





=200GeV.

e 

assoc

𝑇

ranges are .–. GeV, .–. GeV, and .–

. GeV, respectively. e symbols indicate the experimental

data observed in the RHIC [], and the lines indicate the

modeling results. Table  shows 

𝑥

and 

𝑥

extracted by tting

the data. e 

𝑥

amplitude of the source increases, and the

source translates along a negative direction of the 

𝑥

[, ,

]. For the same centrality, the values of 

𝑥

and |

𝑥

|increase

with the increase of 

assoc

𝑇

intervals []. For the same 

assoc

𝑇

interval, the values of 

𝑥

for –% are greater than those

in–%.Itisfoundthatthecentral–%and–%

events both have a single-peak structure.

Figure  shows the azimuthal correlations of the per-

trigger-particle associated hadrons produced in Pb-Pb col-

lisions at





= 2.76TeV. e symbols indicate the data

measured by the CMS collaboration at the LHC [], and the

lines indicate the modeling results. e rapidity  interval

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