Left: The relative dynamical correlation for 7.7 GeV and 200 GeV Au+Au
collisions compare with similar results fron 2.76 TeV Pb+Pb collision. The
dashed line represents a fit to the data at 200 GeV given by
22.3%/(Npart)1/2. Statistical and systematic errors are shown. Right: The
relative dynamical correlation for Au+Au collisions as a function of collision
energy for the 0-5% centrality bin along with results for Pb+Pb collisions
from ALICE along with UrQMD calculations and results from Boltzmann-Langevin
model calculations. The solid line is drawn to guide the eye. Statistical
and systematic errors are shown.
The covariance, <Δpt,i Δpt,j>, is
calculated as a function of centrality at each of the eight collision energies along
with the event-averaged pt, <<pt>>. The
two-particle pt correlations are then characterized by the relative
dynamical correlation,
(<Δpt,i Δpt,j>)1/2/<<pt>>,
which represents the magnitude of the dynamic fluctuations of the
average pt.
The left panel shows the relative dynamical correlation for Au+Au collisions at 7.7
and 200 GeV compared with similar results from Pb+Pb collisions at 2.76 TeV. The
results for Au+Au collisions at 200 GeV agree well with the results for Pb+Pb collisions
at 2.76 TeV. The dashed line represents a power law fit to the STAR data at 200 GeV of
the form 22.3%/(Npart)1/2. This fit also reproduces the ALICE data for Pb+Pb collisions
at 2.76 TeV. The fact that the relative dynamical correlation scales as 1/(Npart)1/2
lends credence to the idea that the observed particle production comes from uncorrelated
sources. As the collision energy is lowered to 7.7 GeV, the power-law scaling of the
relative dynamical correlation breaks down.
The right panel show the relative dynamical correlation as a function collision
energy for the most central bin. Also shown are similar results from CERES and ALICE.
Also shown are UrQMD calculations. The data from CERES are for Pb+Pb collisions at 8.7,
12.3, and 17.3 GeV. The STAR data show that the relative dynamical correlation
decreases at lower collision energies although the STAR data are in reasonable agreement
with the CERES data. This figure also shows the relative dynamical correlation for the
5% most central collisions from Pb+Pb collisions at 2.76 TeV from ALICE. This result
seems to show that the relative dynamical correlation plateaus above 200 GeV. The
relative dynamical correlation at 2.76 TeV is somewhat lower than the value at 200 GeV.
This difference could be partially due to the fact that the 0-5% centrality bin for
Pb+Pb collisions at 2.76 TeV is associated with a somewhat larger value of Npart than
the value for 200 GeV Au+Au collisions, leading to a lower value of the relative
dynamical correlation assuming a 1/(Npart)1/2 scaling.
In conclusion, we observe a power law scaling of the form 1/(Npart)1/2 for the
relative dynamical correlation in Au+Au collisions at 200 GeV. A similar power law
scaling had been previously observed in Pb+Pb collisions at 2.76 TeV except in the most
central collisions. As the collision energy for Au+Au collisions is decreased to 7.7
GeV, the power law scaling observed at 200 GeV breaks down. For the most central Au+Au
collisions, the relative dynamical correlations increase with collision energy up to 200
GeV showing no evidence of non-monotonic behavior in this range of Au+Au collision
energies.
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