Thermal description of hadrons thermodynamics using Tsallis distribution

Document Type : Original Article

Author

Physics Department, Faculty of Science, Benha University, 13518, Benha, Egypt

Abstract

Thermodynamic quantities such as normalized pressure P/T
4
, normalized energy density ρ/T
4
and trace
anomaly (ρ − 3P) /T
4
are calculated for hadrons in the framework of Tsallis distribution at different values
of the baryon chemical potential, µb = 0, 170, 340, 425 MeV through temperatures spanning from 120
MeV to 200 MeV. The used values of Tsallis parameter q are 1.15, 1.12, 1.1 and 1.002. The obtained
results are compared with the corresponding Lattice Quantum Chromodynamics (LQCD) data. At freezeout
temperature of approximately ' .155 GeV and vanishing chemical potential, the calculated results are
shown a good fit with the used lattice results where q = 1.15. At non-vanishing chemical potential, the
fitting between Tsallis distribution and the lattice results becomes good at (µb, q) = (.170, 1.12), (.340, 1.1),
and (.340, 1.002), where the values of µb is represented in GeV. The disagreement between the used model
and the corresponding LQCD data alerts for more investigations with other models.