Nuclear modification factor in Pb-Pb and p-Pb collisions using Boltzmann transport equation

Abstract

We investigate the nuclear modification factor ($R_{AA}$) of identified particles as a function of transverse momentum ($p_{\mathrm{T}}$) in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 2.76 and 5.02 TeV, as well as p-Pb collision at 5.02 TeV in the framework of Boltzmann transport equation with relaxation time approximation. In this framework, the initial distribution of particles is chosen as the Tsallis distribution and the local equilibrium distribution as the Boltzmann-Gibbs blast-wave distribution. The non-extensive parameter $q_{pp}$, the Tsallis temperature $T_{pp}$ and the equilibrium temperature $T_{eq}$ are set to be in common for all particles, while the ratio of kinetic freeze-out time to relaxation time $t_f/\tau$ is different for different particles when we performed a combined fit to the $R_{AA}$ spectra of different particles at a given centrality. We observe that the fitted curves describe the spectra well up to $p_{\mathrm{T}}\approx$ 3 GeV/c. $q_{pp}$ and $T_{eq}$ ($t_f/\tau$) decrease (increases) with centrality nonlinearly, while $T_{pp}$ is almost independent of centrality. The dependence of the rate at which $q_{pp}$, $T_{eq}$ or $t_f/\tau$ changes with centrality on the energy and the size of the colliding system is discussed.

14 pages, 6 figures. Accepted by J. Phys. G

References in corpus (31)

• Glauber Modeling in High Energy Nuclear Collisions
• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Centrality dependence of $\pi$, K, p production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Multiplicity Dependence of Pion, Kaon, Proton and Lambda Production in p-Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Centrality determination of Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV with ALICE
• Heavy-Quark Probes of the Quark-Gluon Plasma at RHIC
• Jet quenching in high-energy heavy-ion collisions
• K${}_{\mathrm{S}}^0$ and $\mathrm{\Lambda }$ production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Identified hadron spectra at large transverse momentum in p+p and d+Au collisions at \sqrts_NN = 200 GeV
• Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Charged-particle nuclear modification factors in PbPb and pPb collisions at sqrt(s[NN]) = 5.02 TeV
• Centrality dependence of particle production in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$= 5.02 TeV
• Systematic properties of the Tsallis Distribution: Energy Dependence of Parameters in High-Energy p-p Collisions
• Multiplicity dependence of charged pion, kaon, and (anti)proton production at large transverse momentum in p-Pb collisions at $\sqrt{{\text{s}}_{\mathrm{NN}}}$ = 5.02 TeV
• Centrality dependence of the nuclear modification factor of charged pions, kaons, and protons in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Description of High-Energy pp Collisions Using Tsallis Thermodynamics: Transverse Momentum and Rapidity Distributions
• K${}^{\ast }(892{)}^0$ and $\varphi (1020)$ meson production at high transverse momentum in pp and Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Production of K${}^{\ast }$(892)${}^0$ and $\varphi$(1020) in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Nuclear modification factors of phi mesons in d+Au, Cu+Cu and Au+Au collisions at sqrt(S_NN)=200 GeV
• Study of the production of charged pions, kaons, and protons in pPb collisions at sqrt(sNN) = 5.02 TeV
• The Tsallis Distribution at Large Transverse Momenta
• Can Tsallis distribution fit all the particle spectra produced at RHIC and LHC?
• Nuclear Modification Factor Using Tsallis Non-extensive Statistics
• Multiplicity Dependence of Non-extensive Parameters for Strange and Multi-Strange Particles in Proton-Proton Collisions at $\sqrt{s}=7$ TeV at the LHC
• Analysis of the apparent nuclear modification in peripheral Pb-Pb collisions at 5.02 TeV
• Combining Difficulty Ranking with Multi-Armed Bandits to Sequence Educational Content
• On the possibility of q-scaling in high energy production processes
• Separation of elastic and inelastic processes in the relaxation time approximation for collision integral
• Transverse Momentum Spectra and Nuclear Modification Factor using Boltzmann Transport Equation with Flow in Pb+Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV

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