Research PapersNo Access

Average transverse expansion velocities and global freeze-out temperatures in central Cu $+$ Cu, Au $+$ Au, and Pb $+$ Pb collisions at high energies at RHIC and LHC

Physical-Technical Institute of SPA “Physics-Sun” of Uzbek Academy of Sciences, Chingiz Aytmatov str. 2^b, 100084 Tashkent, Uzbekistan

National University of Science and Technology MISIS (NUST MISIS), Almalyk branch, Almalyk, Uzbekistan

E-mail Address: khkolimov@gmail.com

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Shakhnoza Z. Kanokova

National University of Uzbekistan, Tashkent, Uzbekistan

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Kosim Olimov

Physical-Technical Institute of SPA “Physics-Sun” of Uzbek Academy of Sciences, Chingiz Aytmatov str. 2^b, 100084 Tashkent, Uzbekistan

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Kadyr G. Gulamov

Physical-Technical Institute of SPA “Physics-Sun” of Uzbek Academy of Sciences, Chingiz Aytmatov str. 2^b, 100084 Tashkent, Uzbekistan

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Bekhzod S. Yuldashev

Institute of Nuclear Physics, Tashkent, Uzbekistan

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Sagdulla L. Lutpullaev

Physical-Technical Institute of SPA “Physics-Sun” of Uzbek Academy of Sciences, Chingiz Aytmatov str. 2^b, 100084 Tashkent, Uzbekistan

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, and

Farkhod Y. Umarov

National University of Science and Technology MISIS (NUST MISIS), Almalyk branch, Almalyk, Uzbekistan

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https://doi.org/10.1142/S0217732320501151Cited by:22 (Source: Crossref)

Abstract

The experimental invariant transverse momentum $(p_{t})$ spectra of the charged pions and kaons, protons and antiprotons, produced at midrapidity in central (0–10%) Au $+$ Au collisions at ${(s_{n n})}^{1 / 2} = 62.4 GeV$ , central (0–10%) Cu $+$ Cu collisions at ${(s_{n n})}^{1 / 2} = 200 GeV$ , central (0–10%) Au $+$ Au collisions at ${(s_{n n})}^{1 / 2} = 200 GeV$ , and central (0–5%) Pb $+$ Pb collisions at ${(s_{n n})}^{1 / 2} = 2.76 TeV$ , measured by BRAHMS, STAR and ALICE collaborations, were analyzed using three different transverse expansion (blast-wave) models: Siemens–Rasmussen blast-wave model, Simple transverse flow model, and Simplified (hydro-inspired) blast-wave model of Schnedermann et al. Combined (simultaneous) minimum $χ^{2}$ fits of the experimental invariant $p_{t}$ spectra of the charged pions and kaons, protons and antiprotons with the above three model functions were conducted, using the identical selected optimal fitting ranges in $p_{t}$ in each studied collision system, and the values of the average transverse expansion velocity $(〈 β_{t} 〉)$ and global kinetic freeze-out temperature $(T_{f o})$ and their dependencies on the collision system $(〈 N_{part} 〉)$ and ${(s_{n n})}^{1 / 2}$ were extracted. The combined (simultaneous) fits using Hagedorn formula with the (embedded) simple transverse flow describe well the experimental invariant $p_{t}$ spectra of the charged pions, kaons, protons and antiprotons in the whole measured range in region $p_{t} \geq 0.5 GeV / c$ in the analyzed central heavy ion collisions at RHIC and LHC, reproducing qualitatively well all the established dependencies of the parameters $〈 β_{t} 〉$ and $T_{f o}$ on the collision system $(〈 N_{part} 〉)$ and ${(s_{n n})}^{1 / 2}$ . The obtained results were compared with those of the previous analyses of high energy heavy ion collisions.

Keywords:

PACS: 25.75.Ag, 25.75.Ld

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