Response relation in Pb-Pb and p-Pb collisions at 5.02 TeV

Abstract

We carry out simulations using a multi-phase transport (AMPT) model to describe the response relation between $v_2$ and ${\epsilon }_2$ in Pb-Pb and p-Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV, respectively. To simulate such relation, two methods have been introduced in the calculation: one is the directed response (DR) method, which correlates the outgoing particles with the initial anisotropy directly, and the other one is the cumulants response (CR) method, which is constructed from a cumulants correlation between outgoing particles. Based on calculations of the DR and CR methods, the response relations as a function of the transverse momentum are both shown in Pb-Pb and p-Pb collisions. By comparing the DR and CR methods, we found that the linear response relations are almost identical in all the present collisions. Similar results of linear+cubic response relations are also shown in the higher multiplicity systems, and it has become a significant difference in the lower multiplicity systems, i.e., the peripheral Pb-Pb collisions and p-Pb collisions. Throughout the whole $p_T$-dependent simulations, the ${\kappa }_2$ in the linear response and in the linear+cubic response are almost identical, except for in the lower multiplicity systems by the DR method. If one implements a pseudorapidity gap by the CR calculation, the $p_T$-dependent and $\eta$-independent response relations are similarly shown in peripheral Pb-Pb systems and p-Pb systems, which may imply that a collective response exists in the most central p-Pb collisions. These collective behaviors are dominantly produced on the stage of the medium expansions.

arXiv comment6 pages, 3 figures. Some errors in previous version corrected. This version accepted by Phys. Rev. C

References in corpus (34)

• A Multi-Phase Transport Model for Relativistic Heavy Ion Collisions
• Collective flow and viscosity in relativistic heavy-ion collisions
• Collision geometry fluctuations and triangular flow in heavy-ion collisions
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• Measurement of the azimuthal anisotropy for charged particle production in sqrt(s_NN) = 2.76 TeV lead-lead collisions with the ATLAS detector
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Evidence for collectivity in pp collisions at the LHC
• Triangular flow in hydrodynamics and transport theory
• Long range rapidity correlations and jet production in high energy nuclear collisions
• Space-time evolution of bulk QCD matter
• Small System Collectivity in Relativistic Hadron and Nuclear Collisions
• Evidence for collective multi-particle correlations in pPb collisions
• Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV
• Novel Collective Phenomena in High-Energy Proton-Proton and Proton-Nucleus Collisions
• Hydrodynamic elliptic and triangular flow in Pb-Pb collisions at sqrt(s)=2.76ATeV
• Correlated event-by-event fluctuations of flow harmonics in Pb-Pb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV
• Measurement of higher-order harmonic azimuthal anisotropy in PbPb collisions at a nucleon-nucleon center-of-mass energy of 2.76 TeV
• Anisotropic parton escape is the dominant source of azimuthal anisotropy in transport models
• Anisotropic parton escape is the dominant source of azimuthal anisotropy in transport models
• Anisotropic flow in Xe-Xe collisions at $\sqrt{{\mathbf{s}}_{\mathrm{NN}}}=5.44$ TeV
• Linear and cubic response to the initial eccentricity in heavy-ion collisions
• Hydrodynamic Predictions for Pb+Pb Collisions at 5.02 A TeV
• Measurement of multi-particle azimuthal correlations with the subevent cumulant method in $pp$ and $p$+Pb collisions with the ATLAS detector at the LHC
• Measurement of flow harmonics with multi-particle cumulants in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV with the ATLAS detector
• Anisotropic flow of identified particles in Pb-Pb collisions at $\sqrt{{\text{s}}_{\mathrm{NN}}}=5.02$ TeV
• Measurements of multiparticle correlations in $d$$+$Au collisions at 200, 62.4, 39, and 19.6 GeV and $p$$+$Au collisions at 200 GeV and implications for collective behavior
• Azimuthal harmonics in small and large collision systems at RHIC top energies
• Azimuthal Anisotropy Distributions in High-Energy Collisions
• A flow paradigm in heavy-ion collisions
• Initial partonic eccentricity fluctuations in a multi-phase transport model
• Origins of collectivity in small systems
• Hydrodynamic response in simulations within a multiphase transport model
• Influence of initial-state momentum anisotropy on the final-state collectivity in small collision systems
• Pseudorapidity dependent hydrodynamic response in heavy-ion collisions

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