Differential two-particle number and momentum correlations with the AMPT, UrQMD, and EPOS models in Pb-Pb collisions at $\sqrt{{\text{s}}_{{}_{\mathrm{NN}}}}$= 2.76 TeV

Abstract

We report studies of charge-independent (CI) and charge-dependent (CD) two-particle differential number correlation functions, $R_2\left(\Delta \eta ,\Delta \phi \right)$, and transverse momentum correlation functions, $P_2\left(\Delta \eta ,\Delta \phi \right)$ of charged particles produced in \PbPb\ collisions at the LHC centre-of-mass energy $\sqrt{s_{\mathrm{NN}}}=$ 2.76 TeV with the UrQMD, AMPT and EPOS models. Model predictions for $R_2$ and $P_2$ correlation functions are presented for inclusive charged hadrons ($h^{\pm }$) in selected transverse momentum ranges and with full azimuthal coverage in the pseudorapidity range $|\eta |<1.0$. We compare these predictions for the strength, shape, and particularly the width of the correlation functions with recent measurements of these observables by the ALICE collaboration. Our analysis indicate that comparative studies of $R_2$ and $P_2$ correlation functions provide valuable insight towards the understanding of particle production in Pb--Pb collisions. We find, in particular, that these models have quantitatively different predictions for these three observables but none reproduce the measured correlation functions reported by the ALICE collaboration. Accounting for quantum number conservation in models, particularly charge conservation, is mandatory to reproduce the detailed measurements of number and transverse momentum correlation functions.

17 pages, 12 figures, Accepted for publication in Phys. Rev. C

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• Energy and system size dependence of strongly intensive fluctuation measures in heavy-ion collisions at FAIR energies
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• Two-pion interferometry for partially coherent sources in relativistic heavy-ion collisions in a multi-phase transport model
• Multiboson Hanbury Brown-Twiss correlations for partially coherent sources in relativistic heavy-ion collisions in a multiphase transport model
• Two-particle number and transverse momentum balance function with event topology in pp collisions at $\sqrt{s}=13$ TeV
• System size and event shape dependence of particle-identified balance functions in proton-proton collisions at $\sqrt{s}=13$ TeV using PYTHIA 8 and EPOS models