Elliptic flow of hadrons via quark coalescence mechanism using Boltzmann transport equation for Pb+Pb collision at $\sqrt{s_{NN}}$=2.76 TeV

Abstract

Elliptic flow of hadrons observed at relativistic heavy-ion collision experiments at Relativistic Heavy-Ion Collider (RHIC) and Large Hadron Collider (LHC), provides us an important signature of possible de-confinement transition from hadronic phase to partonic phase. However, hadronization processes of de-confined partons back into final hadrons are found to play a vital role in the observed hadronic flow. In the present work, we use coalescence mechanism also known as Recombination (ReCo) to combine quarks into hadrons. To get there, we have used Boltzmann transport equation in relaxation time approximation to transport the quarks into equilibration and finally to freeze-out surface, before coalescence takes place. A Boltzmann-Gibbs Blast Wave (BGBW) function is taken as an equilibrium function to get the final distribution and a power-like function to describe the initial distributions of partons produced in heavy-ion collisions. In the present work, we try to estimate the elliptic flow of identified hadrons such as $\pi$, $K$, $p$ etc., produced in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV at the LHC for different centralities. The elliptic flow ($v_2$) of identified hadrons seems to be described quite well in the available $p_{\mathrm{T}}$ range. After the evolution of quarks until freeze-out time, has been calculated using BTE-RTA, the approach used in this paper consists of combining two or more quarks to explain the produced hadrons at intermediate momenta regions. The formalism is found to describe elliptic flow of hadrons produced in Pb+Pb collisions to a large extent.

arXiv comment13 pages and 12 figures, To appear in Advances in High Energy Physics (2020) (Accepted version)

References in corpus (56)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• Glauber Modeling in High Energy Nuclear Collisions
• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• Flow Study in Relativistic Nuclear Collisions by Fourier Expansion of Azimuthal Particle Distributions
• Radial and elliptic flow at RHIC: further predictions
• HIJING 1.0: A Monte Carlo Program for Parton and Particle Production in High Energy Hadronic and Nuclear Collisions
• Improved Parton Distributions from Global Analysis of Recent Deep Inelastic Scattering and Inclusive Jet Data
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Hadronization in heavy ion collisions: Recombination and fragmentation of partons
• Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Centrality dependence of $\pi$, K, p production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Azimuthal anisotropy in Au+Au collisions at sqrtsNN = 200 GeV
• Hadron production in heavy ion collisions: Fragmentation and recombination from a dense parton phase
• Elliptic flow at large transverse momenta from quark coalescence
• Particle-type dependence of azimuthal anisotropy and nuclear modification of particle production in Au+Au collisions at s(NN)**(1/2) = 200-GeV
• Thermal Equilibration and Expansion in Nucleus-Nucleus Collision at the AGS
• Parton coalescence at RHIC
• K${}_{\mathrm{S}}^0$ and $\mathrm{\Lambda }$ production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Dissipative Hydrodynamics and Heavy Ion Collisions
• 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
• D meson elliptic flow in non-central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76TeV
• Partonic flow and $\varphi$-meson production in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV
• Elliptic flow of identified hadrons in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Heavy Quark Potentials in Quenched QCD at High Temperature
• Single Identified Hadron Spectra from sqrt(s_NN)=130 GeV Au+Au Collisions
• Transverse momentum dependence of D-meson production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• From QCD lattice calculations to the equation of state of quark matter
• Elliptic flow from a parton cascade
• Quark Coalescence and Elliptic Flow of Charm Hadrons
• Mass, quark-number, and $\sqrt{s_{NN}}$ dependence of the second and fourth flow harmonics in ultra-relativistic nucleus-nucleus collisions
• Elliptic flow for phi mesons and (anti)deuterons in Au+Au collisions at sqrt(s_NN) = 200 GeV
• 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
• Elliptic and triangular flow of heavy flavor in heavy-ion collisions
• Improved Quark Coalescence for a Multi-Phase Transport Model
• Effect of resonance decays on hadron elliptic flows
• Statistical Origin of Constituent-Quark Scaling in the QGP hadronization
• Nuclear Modification Factor Using Tsallis Non-extensive Statistics
• On the Origin of the Elliptic Flow and its Dependence on the Equation of State in Heavy Ion Reactions at Intermediate Energies
• Elliptic flow of resonances at RHIC: probing final state interactions and the structure of resonances
• Analytical coalescence formula for particle production in relativistic heavy-ion collisions
• Gluon bremsstrahlung by heavy quarks - its effects on transport coefficients and equilibrium distribution
• Scaling of Elliptic Flow, Recombination and Sequential Freeze-Out of Hadrons in Heavy-Ion Collisions
• Time Evolution of Temperature Fluctuation in a Non-Equilibrated System
• Separation of elastic and inelastic processes in the relaxation time approximation for collision integral
• Elliptic flows of light nuclei
• 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
• Electrical conductivity of Hot and Dense QCD matter at RHIC BES energies: A Color String Percolation Approach
• Transverse Momentum Spectra and Nuclear Modification Factor using Boltzmann Transport Equation with Flow in Pb+Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
• Revisit of directed flow in relativistic heavy-ion collisions from a multiphase transport model
• Spectra of produced particles at CERN SPS heavy-ion collisions from a parton-cascade model
• RHIC Physics with the Parton Cascade Model
• Azimuthal anisotropy in particle distribution in A Multi-phase Transport Model
• Elliptic and Triangular Flow of Identified Particles from the AMPT Model at RHIC Energies
• Elliptic flow due to radiation in heavy-ion collisions
• Mass generation in coalescence - effects on hadron spectra

Cited by in corpus (5)

• Role of nuclear gluon distribution on particle production in heavy ion collisions
• Dynamics of identified particles production in oxygen-oxygen collisions at \sqrt{s_{\mathrm{NN}} = 7 TeV using EPOS4
• Beyond the relaxation time approximation
• Exploring Anisotropic flow via the Boltzmann Transport Equation Employing the Tsallis Blast Wave Description at LHC energies
• Relaxation and correlation times of nonequilibrium multiparticle systems