Particle species and collision energy dependencies of the midrapidity average transverse momenta of identified charged particles in Au+Au and Pb+Pb collisions in (Snn)1/2 = 62-5020GeV energy range at RHIC and LHC

The experimental spectra of [Formula: see text] versus the average pseudorapidity multiplicity density, [Formula: see text], and [Formula: see text] dependencies of the identified charged particles at midrapidity in Au[Formula: see text]Au and Pb[Formula: see text]Pb collisions at RHIC and LHC in (s[Formula: see text]-5020[Formula: see text]GeV energy range are described well with the proposed simple power model function. The degree of flattening of [Formula: see text] of the charged pions and kaons, protons and antiprotons in the analyzed heavy-ion collisions at RHIC and LHC in (s[Formula: see text]-5020[Formula: see text]GeV energy range are investigated analyzing the dependencies of the obtained exponent parameter [Formula: see text] of the simple power model function on the particle species and collision energy (s[Formula: see text]. The coincidence of the parameter [Formula: see text] for pions and kaons in Pb[Formula: see text]Pb collisions at (s[Formula: see text][Formula: see text]TeV, reflecting practically identical shapes of [Formula: see text] versus the average pseudorapidity multiplicity density, [Formula: see text], and [Formula: see text] spectra for pions and kaons in these collisions, is obtained. This important result is interpreted as due to creation of the highly thermalized QGP, where the difference between [Formula: see text], [Formula: see text] and [Formula: see text] flavors practically disappears, resulting in similar mechanisms of production of pions and kaons in Pb[Formula: see text]Pb collisions at (s[Formula: see text][Formula: see text]TeV.