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A generalization of the phenomenological blast-wave-Tsallis-power model, recently proposed by the author for the hadrons transverse momentum () spectra measured at the LHC, is developed to also describe the hadrons -differential elliptic flow coefficients in identical nuclei collisions of different centralities. The model describes well the available data on -spectra and for any of various particles, from pions to charmonia, in Pb–Pb at 2.76 and 5.02~TeV, and in Xe–Xe at 5.44~TeV. Also, predictions for OO collisions at 5.36~TeV are given. While the model is mainly targeting the LHC energies, it also works at much lower RHIC energies.

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