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2011 QCD and High Energy Interactions - Rencontres de Moriond ...

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2<br />

v<br />

{4}<br />

2<br />

v<br />

0.3<br />

0.25<br />

0.2<br />

0.15<br />

0.1<br />

0.05<br />

0.25<br />

0.2<br />

0.15<br />

0.05<br />

v {2} 2<br />

v {4} 2<br />

v {4} 2<br />

(STAR)<br />

centrality 40-50%<br />

0 1 2 3 4 5<br />

10-20%<br />

0.1<br />

20-30%<br />

30-40%<br />

10-20% (STAR)<br />

20-30% (STAR)<br />

30-40% (STAR)<br />

0 1 2 3 4 5<br />

p (GeV/ c)<br />

t<br />

Figure 3: v2(pt) for the centrality class 40-50% obtained<br />

with the 2- <strong>and</strong> 4-particle cumulant methods<br />

(top panel) <strong>and</strong> v2 {4}(pt) for several centrality classes<br />

compared to STAR data (lower panel).<br />

2<br />

v<br />

0.12<br />

0.1<br />

0.08<br />

0.06<br />

0.04<br />

0.02<br />

v2{2}<br />

v2{2}<br />

(same charge)<br />

v2{4}<br />

v2{4}<br />

(same charge)<br />

v2{q-dist}<br />

v2{LYZ}<br />

v2{EP}<br />

STAR<br />

v STAR<br />

{LYZ}<br />

2<br />

0<br />

0 10 20 30 40 50 60 70 80<br />

centrality percentile<br />

Figure 4: Elliptic flow coefficient v2 obtained with<br />

several methods as a function of centrality compared<br />

to RHIC measurements in Au–Au collisions at<br />

√ sNN=0.2 TeV.<br />

of hadrons in the final state, has been measured using several analysis techniques which have<br />

different sensitivity to non-flow effects <strong>and</strong> flow fluctuations. The differential flow is shown in<br />

Fig. 3 (left plot) for one centrality class <strong>and</strong> two methods: the values are the same as those<br />

found at RHIC within the uncertainties <strong>and</strong> the difference between the two methods is due to<br />

non-flow effects, which are negligible for the 4-particle cumulant method, <strong>and</strong> to fluctuations<br />

which have opposite sign. In the same figure (right plot) v2 is shown in several centrality classes<br />

compared to RHIC data for the 4-particle cumulant method: the <strong>de</strong>pen<strong>de</strong>nce on pt does not<br />

change with centrality.<br />

In Fig. 4 the centrality <strong>de</strong>pen<strong>de</strong>nce of v2 is shown for several methods, for example the 2- <strong>and</strong><br />

4-particle cumulant methods by correlating particles of the same charge (for which correlations<br />

due to non-flow effects are weaker). The integrated elliptic flow is larger at the LHC than at<br />

RHIC because the mean pt is higher. The increase is about 30% for more peripheral centralities<br />

<strong>and</strong> is reproduced by hydrodynamic predictions with low viscous corrections <strong>and</strong> some hybrid<br />

mo<strong>de</strong>ls, while i<strong>de</strong>al hydrodynamic mo<strong>de</strong>ls predict a lower increase.<br />

4 Two-pion Bose–Einstein correlations in central collisions<br />

The space-time properties of the particle-emitting system created in central collisions have been<br />

measured using the Bose–Einstein enhancement of i<strong>de</strong>ntical pion pairs close in phase-space (HBT<br />

analysis) 5 . The two-pion correlation functions have been studied in transverse momentum bins<br />

using tracks reconstructed in the TPC. The pion source radii <strong>de</strong>fine the homogeneity volume<br />

(the region from which particle pairs with a certain momentum are most likely emitted). The<br />

radii have been measured to be up to 35% larger than those measured at RHIC in central Au–<br />

Au collisions at √ sNN=0.2 TeV <strong>and</strong>, as observed at lower energies, show a <strong>de</strong>creasing trend<br />

with increasing transverse momentum, characteristic feature of exp<strong>and</strong>ing particle sources. In<br />

Fig. 5 (left plot) the quantity RoutRsi<strong>de</strong>Rlong, related to the volume of the homogeneity region<br />

<strong>and</strong> therefore representing only a fraction of the whole particle-emitting source, is compared

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