Correlations among parameters of the Tsallis distribution and Hagedorn function with embedded transverse flow in proton–proton collisions at (s)1/2 = 7 and 13 TeV
Olimov K.K. Lebedev I.A. Fedosimova A.I. Liu F.-H. Dmitriyeva E. Musaev K.A. Olimov K. Yuldashev B.S.
May 2023Springer Science and Business Media Deutschland GmbH
European Physical Journal Plus
2023#138Issue 5
We have analyzed the correlations among parameters of the thermodynamically consistent Tsallis distribution and Hagedorn function with embedded transverse flow, obtained from combined analysis of the experimental midrapidity transverse momentum spectra of the charged pions and kaons, protons and antiprotons as a function of the average charged-particle multiplicity density, ⟨ dNch/ dη⟩ , in p + p collisions at (s)1/2 = 7 and 13 TeV, measured by ALICE Collaboration at the LHC. We have observed strong anticorrelation between non-extensivity parameter q for the charged pions and effective temperature, T, of the Tsallis distribution in both p + p collisions at (s)1/2 = 7 and 13 TeV. The parameter q for protons and antiprotons has proved to be strongly positively correlated with T in both p + p collisions at (s)1/2 = 7 and 13 TeV. Quite strong positive correlation between parameter q (n) for the charged pions and q (n) for the charged kaons has been obtained in both p + p collisions at (s)1/2 = 7 and 13 TeV. This is likely due to similarity of mechanisms of production of pions and kaons, which have a similar quark structure, in high-energy proton–proton collisions. A strong negative correlation between parameter q for the charged pions and q for the protons and antiprotons has been found in both p + p collisions at (s)1/2 = 7 and 13 TeV. The observed significant differences in the characters of parameter correlations for protons and antiprotons, on the one hand, and pions and kaons, on the other hand, could be due to significant differences in the quark structure and corresponding mechanisms of production of baryons and mesons in high-energy collisions. The significantly different behavior of the q (n) versus ⟨ dNch/ dη⟩ dependencies in regions ⟨ dNch/ dη⟩ < 6 − 7 and ⟨ dNch/ dη⟩ > 6 − 7 has been observed for all studied particle species in both collisions. The observed totally opposite correlations between parameter n (q) for pions and kaons and ⟨ dNch/ dη⟩ in regions ⟨ dNch/ dη⟩ < 6 (⟨ dNch/ dη⟩ < 7) and ⟨ dNch/ dη⟩ > 6 (⟨ dNch/ dη⟩ > 7) are consistent with and support the finding of the recent work suggesting a possible onset of deconfinement phase transition at ⟨ dNch/ dη⟩ ≈ 6.1 ± 0.3 (⟨ dNch/ dη⟩ ≈ 7.1 ± 0.2) in p + p collisions at (s)1/2 = 7 TeV ((s)1/2 = 13 TeV).
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Physical-Technical Institute of Uzbekistan Academy of Sciences, Chingiz Aytmatov Str. 2B, Tashkent, 100084, Uzbekistan
Institute of Physics and Technology, Satbayev University, Almaty, Kazakhstan
National University of Science and Technology MISIS (NUST MISIS), Almalyk Branch, Almalyk, Uzbekistan
Institute of Nuclear Physics, Almaty, Kazakhstan
Institute of Theoretical Physics & Collaborative Innovation Center of Extreme Optics & State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan, 030006, China
Institute of Nuclear Physics of Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
Physical-Technical Institute of Uzbekistan Academy of Sciences
Institute of Physics and Technology
National University of Science and Technology MISIS (NUST MISIS)
Institute of Nuclear Physics
Institute of Theoretical Physics & Collaborative Innovation Center of Extreme Optics & State Key Laboratory of Quantum Optics and Quantum Optics Devices
Institute of Nuclear Physics of Uzbekistan Academy of Sciences
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