Sub-leading flow modes in PbPb collisions at (~sNN)^(1/2) = 2.76 TeV from the HYDJET++ model

Recent LHC results on the appearance of sub-leading flow modes in Pb Pb collisions at 2.76 TeV, related to initial-state fluctuations, are analyzed and interpreted within the HYDJET＋＋ model. Using the newly introduced Principal Component Analysis（PCA） method applied to two-particle azimuthal correlations extracted from the model calculations, the leading and sub-leading flow modes are studied as a function of the transverse momentum（p T） over a wide centrality range. The leading modes of the elliptic（v2^（1）） and triangular（v3^（1）） flow calculated with the HYDJET＋＋ model reproduce rather well the v2 {2} and v3 {2} coefficients measured experimentally using the two-particle correlations. Within the p T 3 Ge V/c range, where hydrodynamics dominates, the sub-leading flow effects are greatest at the highest p T of around 3 Ge V/c. The sub-leading elliptic flow mode（v2^（2））, which corresponds to the n = 2 harmonic, has a small non-zero value and slowly increases from central to peripheral collisions, while the sub-leading triangular flow mode（v3^（2））, which corresponds to the n = 3 harmonic, is even smaller and does not depend on centrality. For n= 2, the relative magnitude of the effect measured with respect to the leading flow mode shows a shallow minimum for semi-central collisions and increases for very central and for peripheral collisions. For the n= 3 case, there is no centrality dependence. The sub-leading flow mode results obtained from the HYDJET＋＋model are in rather good agreement with the experimental measurements of the CMS Collaboration.