Multi-particle long-range rapidity correlations from fluctuation of the fireball longitudinal shape

Abstract

We calculate the genuine long-range multi-particle rapidity correlation functions, $C_n(y_1,...,y_n)$ for $n=3,4,5,6$, originating from fluctuations of the fireball longitudinal shape. In these correlation functions any contribution from the short-range two-particle correlations, and in general up to $(n-1)$-particle in $C_n$, is suppressed. The information about the fluctuating fireball shape in rapidity is encoded in the cumulants of coefficients of the orthogonal polynomial expansion of particle distributions in rapidity.

8 pages

References in corpus (8)

• Evidence for collective multi-particle correlations in pPb collisions
• Effects of initial flow velocity fluctuation in event-by-event (3+1)D hydrodynamics
• Forward-backward eccentricity and participant-plane angle fluctuations and their influences on longitudinal dynamics of collective flow
• Wounded quarks and diquarks in high energy collisions
• Longitudinal Decorrelation of Anisotropic Flows in Heavy-ion Collisions at the CERN Large Hadron Collider
• Longitudinal fluctuations of the fireball density in heavy-ion collisions
• Hydrodynamic modeling of pseudorapidity flow correlations in relativistic heavy-ion collisions and the torque effect
• Multibin correlations in a superposition approach to relativistic heavy-ion collisions

Cited by in corpus (14)

• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Cumulants and Correlation Functions vs the QCD phase diagram
• Rapidity dependence of proton cumulants and correlation functions
• Probing proton fluctuations with asymmetric rapidity correlations
• A simple model for rapidity fluctuations in the initial state of ultra-relativistic heavy-ion collisions
• Partial correlation analysis method in ultra-relativistic heavy-ion collisions
• Collectivity in large and small systems formed in ultrarelativistic collisions
• Correlation functions of net-proton multiplicity distributions in Au + Au collisions at energies available at the BNL Relativistic Heavy Ion Collider from a multiphase transport model
• Rapidity dependence of transverse-momentum multiplicity correlations
• Long Range Azimuthal Correlations of Multiple Gluons in Gluon Saturation Limit
• Saturation scale fluctuations and multi-particle rapidity correlations
• Cumulants from fluctuating width of rapidity distribution
• Forward-backward multiplicity correlations at the LHC from independent sources
• Multi-particle correlations in transverse momenta from statistical clusters