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We report studies of charge-independent (CI) and charge-dependent (CD)two-particle differential number correlation functions, $R_{2} \left( \Delta\eta, \Delta \varphi \right)$, and transverse momentum correlation functions,$P_2 \left( \Delta \eta, \Delta \varphi \right)$ of charged particles producedin \PbPb\ collisions at the LHC centre-of-mass energy $\sqrt{s_{\rm 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 azimuthalcoverage in the pseudorapidity range $|\eta|< 1.0$. We compare thesepredictions for the strength, shape, and particularly the width of thecorrelation functions with recent measurements of these observables by theALICE collaboration. Our analysis indicate that comparative studies of $R_2$and $P_2$ correlation functions provide valuable insight towards theunderstanding of particle production in Pb--Pb collisions. We find, inparticular, that these models have quantitatively different predictions forthese three observables but none reproduce the measured correlation functionsreported by the ALICE collaboration. Accounting for quantum number conservationin models, particularly charge conservation, is mandatory to reproduce thedetailed measurements of number and transverse momentum correlation functions.

physical review. c

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