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4–10 Apr 2022
Auditorium Maximum UJ
Europe/Warsaw timezone
Proceedings submission deadline extended to September 11, 2022

Study of the thermodynamical parameters using Tsallis statistics with flow velocity at freeze-out in relativistic heavy-ion collisions

6 Apr 2022, 17:58
4m
Poster QGP in small and medium systems Poster Session 1 T05_2

Speaker

Dr Rajendra Nath Patra (CERN)

Description

The thermodynamical properties of the high-temperature and high-density system produced in relativistic heavy-ion collisions can be understood with a systematic study of the produced hadrons' transverse momentum ($p_{\rm T}$ ) spectra. The $p_{\rm T}$ spectra of these hadrons can be described well by a distribution using the Tsallis statistics. The Tsallis parameters $q$ and $T$ measure the degree of deviation of the system from an equilibrium state and the effective temperature at freeze-out conditions, respectively. The Tsallis formalism with the inclusion of flow velocity can describe the $p_{\rm T}$ spectra from low to high $p_{\rm T}$ ranges. This formalism overcomes the drawback of the limited pT range description through the blast-wave fits of the $p_{\rm T}$ spectra.

In this work, a detailed study of the $p_{\rm T}$ spectra of the identified charged particles (pions, kaons, protons) as well as all charged particles in the heavy-ion collisions at the Relativistic Heavy Ion Collider (RHIC) energies (from $\sqrt{s_{\rm NN}} = $ 7.7 GeV to 200 GeV) and at the Large Hadron Collider (LHC) energies ($\sqrt{s_{\rm NN}} =$ 2.76 TeV to 5.44 TeV) are performed using the non-extensive Tsallis statistics. The extracted Tsallis parameters are found to be dependent on the particle species, collision energy, centrality, and fitting ranges of the $p_{\rm T}$. With increases of the collision energies, $q$ increases in a systematic manner whereas $T$ has a decreasing trend. It is observed that the parameters $q, T$, changes with increasing $p_{\rm T}$ fitting ranges and at mid $p_{\rm T}$ region the parameter are found to be unchanged, which can describe the physics of the systems. The Tsallis parameters and the quality of fitting are found to follow a mass ordering. The contribution of the flow velocity of the particles are considered with the Tsallis statistics through Tsallis blast-wave (TBW) model, which is found to have a better description of the $p_{\rm T}$ spectra of different particle species. The thermodynamic parameters and extracted energy density at the kinetic freeze-out will be presented as a function of collision energy.

Primary authors

Dr Rajendra Nath Patra (CERN) Bedangadas Mohanty (National Institute of Science Education and Research (NISER) (IN)) Tapan Nayak (CERN, Geneva and NISER, Bhubaneswar)

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