Multi-particle eccentricities in collisions dominated by fluctuations

Abstract

We compute analytically the multi-particle eccentricities, ε_m {2n}, for systems dominated by fluctuations, such as proton-nucleus collisions at the Large Hadron Collider. In particular, we derive a general relation for <ε_2^{2n}>. We further discuss the relations between various multi-particle eccentricities and demonstrate that ε_2{2} > ε_2{4} \simeq ε_2{6} \simeq ε_2{8}, in agreement with recent numerical calculations in a Glauber model.

6 pages, 1 figure

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Cited by in corpus (11)

• Novel Collective Phenomena in High-Energy Proton-Proton and Proton-Nucleus Collisions
• Elliptic and triangular flow in p+Pb and peripheral Pb+Pb collisions from parton scatterings
• Measurement of multi-particle azimuthal correlations in $pp$, $p$+Pb and low-multiplicity Pb+Pb collisions with the ATLAS detector
• Long-range azimuthal correlations in proton-proton and proton-nucleus collisions from the incoherent scattering of partons
• Fluctuation induced equality of multi-particle eccentricities for four or more particles
• Odd Azimuthal Anisotropy of the Glasma for pA Scattering
• Finite Numbers of Sources, Particle Correlations and the Color Glass Condensate
• Model comparison for initial density fluctuations in high energy heavy ion collisions
• Heavy ion collisions and cosmology
• A perturbative approach to the hydrodynamics of heavy ion collisions
• Statistical analysis of the fluctuations of an initial-state model with independently distributed hot spots