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Correlations between azimuthal anisotropy Fourier harmonics $v_{n}$ ($n = 2,3, 4$) are studied using the events from PbPb collisions at$\sqrt{s_{_{\mathrm{NN}}}}=2.76$ TeV generated by the HYDJET++ and AMPT models,and compared to the corresponding experimental results obtained by the ATLASCollaboration. The Fourier harmonics $v_{n}$ are measured over a widecentrality range using the two-particle azimuthal correlation method. Theslopes of the $v_{2}$--$v_{3}$ correlation from both models are in a goodagreement with the ATLAS data. The HYDJET++ model predicts a stronger slope forthe $v_{2}$--$v_{4}$ and $v_{3}$--$v_{4}$ correlations than the onesexperimentally measured, while the results from the AMPT model are in a rathergood agreement with the experimental results. In contrast to the HYDJET++predictions, the AMPT model predicts a boomerang-like shape in the structure ofthe correlations as found in the experimental data.

physical review. c

Correlations between azimuthal anisotropy Fourier harmonics in PbPb  collisions at $\sqrt{s_{_{\mathrm{NN}}}}=2.76$ TeV in the HYDJET++ and AMPT  models