Description of Charged Particle Dependence on Transverse Momentum with Tsallis-Like Distribution

Recently, a large amount of experimental data has been collected in high energy physics for studying the properties of matter formed in ultrarelativistic heavy-ion collisions. The main interest is to study the phase diagram and localize phase transitions. In this work we measured the thermodynamic properties of the system produced in such collisions. These parameters were obtained from the transverse momentum distributions of final particles based on several theoretical models. We used well-known hydrodynamic Blast-Wave approach based on Boltzmann statistics. Further, we used a new approach based on q-dual statistics, which can provide more information about the system, in particular its chemical potential and measure the difference of the produced system from the classical equilibrium. We observe that the kinetic freeze-out parameters depend on collision centrality and energy. Results obtained for Blast-Wave model are in agreement with previously published results. For q-dual statistics we can see that in peripheral collisions the system is less equilibrated leading to an increased deviation from the classical distribution.