Effect of global momentum conservation on longitudinal flow decorrelation

Abstract

We calculate the longitudinal flow decorrelation coefficients, i.e., $r_n(\eta ,{\eta }_r)$ for $n=2,3$, in the presence of hydro-like flow and the global momentum conservation (GMC) constraint. The longitudinal flow decorrelation is weakened due to the GMC constraint. The GMC effect is sensitive to the total number of particles involved in GMC, the average longitudinal momentum, the transverse momentum, and the reference pseudorapidity. Our results of the $r_2(\eta ,{\eta }_{rA})/r_2(\eta ,{\eta }_{rB})$ ratio between two reference pseudorapidity bins are consistent with the experimental measurements. We predict that the modification effect of GMC on longitudinal flow decorrelation is more noticeable at BNL Relativistic Heavy Ion Collider energies than at CERN Large Hadron Collider energies. Our finding provides a new perspective for understanding the longitudinal flow decorrelation in relativistic heavy-ion collisions.

13 pages, 6 figures, final published version

References in corpus (16)

• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Triangular flow in hydrodynamics and transport theory
• Effects of initial flow velocity fluctuation in event-by-event (3+1)D hydrodynamics
• Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
• Event-by-event hydrodynamics and elliptic flow from fluctuating initial state
• Azimuthal correlations from transverse momentum conservation and possible local parity violation
• Forward-backward eccentricity and participant-plane angle fluctuations and their influences on longitudinal dynamics of collective flow
• Longitudinal Decorrelation of Anisotropic Flows in Heavy-ion Collisions at the CERN Large Hadron Collider
• Influence of temperature dependent shear viscosity on elliptic flow at back- and forward rapidities in ultrarelativistic heavy-ion collisions
• Viscous evolution of the rapidity distribution of matter created in relativistic heavy-ion collisions
• Hydrodynamic modeling of pseudorapidity flow correlations in relativistic heavy-ion collisions and the torque effect
• Factorization breaking for higher moments of harmonic flow
• Effects of hydrodynamic and initial longitudinal fluctuations on rapidity decorrelation of collective flow
• Elliptic flow coefficients from transverse momentum conservation
• Multiparticle azimuthal cumulants from transverse momentum conservation and collective flow

Cited by in corpus (2)

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