Nuclear Modification Factor Using Tsallis Non-extensive Statistics

Abstract

The nuclear modification factor is derived using Tsallis non-extensive statistics in relaxation time approximation. The variation of nuclear modification factor with transverse momentum for different values of non-extensive parameter, $q$, is also observed. The experimental data from RHIC and LHC are analysed in the framework of Tsallis non-extensive statistics in a relaxation time approximation. It is shown that the proposed approach explains the $R_{AA}$ of all particles over a wide range of transverse momenta but doesn't seem to describe the rise in $R_{AA}$ at very high transverse momenta.

Same as the published version in EPJA

References in corpus (11)

• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Observation of $D^0$ meson nuclear modifications in Au+Au collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}$ = 200 GeV
• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• Azimuthal anisotropy of D meson production 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
• Radial Flow in Non-Extensive Thermodynamics and Study of Particle Spectra at LHC in the Limit of Small $(q-1)$
• Microcanonical Jet-fragmentation in proton-proton collisions at LHC Energy
• Quasi-power law ensembles
• Time Evolution of Temperature Fluctuation in a Non-Equilibrated System
• Separation of elastic and inelastic processes in the relaxation time approximation for collision integral
• Nuclear Modification Factor for Charged Pions and Protons at Forward Rapidity in Central Au+Au Collisions at 200 GeV

Cited by in corpus (31)

• Multiplicity Dependence of Non-extensive Parameters for Strange and Multi-Strange Particles in Proton-Proton Collisions at $\sqrt{s}=7$ TeV at the LHC
• On the precise determination of the Tsallis parameters in proton - proton collisions at LHC energies
• Superstatistics and the effective QCD phase diagram
• Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin-orbit interaction
• Hadron transverse momentum distributions of the Tsallis normalized and unnormalized statistics
• Equivalence of the phenomenological Tsallis distribution to the transverse momentum distribution of $q$-dual statistics
• Mass hierarchy and energy scaling of the Tsallis--Pareto parameters in hadron productions at RHIC and LHC energies
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• Elliptic Flow in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV at the LHC Using Boltzmann Transport Equation with Non-extensive Statistics
• Transverse Momentum Spectra and Nuclear Modification Factor using Boltzmann Transport Equation with Flow in Pb+Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
• Thermodynamics and relativistic kinetic theory for q-generalized Bose-Einstein and Fermi-Dirac systems
• Role of nuclear gluon distribution on particle production in heavy ion collisions
• Description of Charged Particle Pseudorapidity Distributions in Pb+Pb Collisions with Tsallis Thermodynamics
• On thermodynamic self-consistency of generic axiomatic-nonextensive statistics
• Nuclear modification factor in Pb-Pb and p-Pb collisions using Boltzmann transport equation
• Dissipative Properties and Isothermal Compressibility of Hot and Dense Hadron Gas using Non-extensive Statistics
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• Extensive/nonextensive statistics for $p_T$ distributions of various charged particles produced in p+p and A+A collisions in a wide range of energies
• Non-extensive Boltzmann Transport Equation: the Relaxation Time Approximation and Beyond
• Violation of Wiedemann-Franz Law for Hot Hadronic Matter created at NICA, FAIR and RHIC Energies using Non-extensive Statistics
• Deciphering QCD dynamics in small collision systems using event shape and final state multiplicity at the Large Hadron Collider
• Beyond the relaxation time approximation
• Exploring Anisotropic flow via the Boltzmann Transport Equation Employing the Tsallis Blast Wave Description at LHC energies
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• Elliptic flow of hadrons via quark coalescence mechanism using Boltzmann transport equation for Pb+Pb collision at $\sqrt{s_{NN}}$=2.76 TeV
• Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Relaxation and correlation times of nonequilibrium multiparticle systems
• Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas
• A comparative study of different approaches for heavy quark energy loss, based on the latest experimental data
• Investigation of Nuclear Modification Factor from RHIC to LHC energies using Boltzmann Transport equation in conjunction with q-Weibull distribution