The Rise and Fall of the Ridge in Heavy Ion Collisions

Abstract

Recent data from heavy ion collisions at RHIC show unexpectedly large near-angle correlations that broaden longitudinally with increasing centrality. The amplitude of this ridge-like correlation rises rapidly, reaches a maximum, and then falls in the most central collisions. In this letter we explain how this behavior can be explained as initial-state coordinate-space anisotropies converted into final-state momentum-space correlations. We propose $v_n^2/{\epsilon }_{n,\mathrm{part}}^2$ as a useful way to study length scales and provide a prediction for the ridge in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 2.76 TeV.

1 Figure and text added

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• The "ripples" on relativistically expanding fluid
• Azimuthal Anisotropy in U+U Collisions at $\sqrt{s_{NN}}=193$ GeV with STAR Detector at RHIC
• Jet Tomography of Harmonic Fluctuations in the Initial Condition of Heavy Ion Collisions
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• Harmonic moments of the gluon density distribution in AA collisions
• Dipole asymmetry at $\sqrt{s_{NN}}=200$ GeV Au+Au Collisions from STAR experiment at RHIC
• Third Harmonic Flow of Charged Particles in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV