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Elliptic flow in Pb+Pb collisions at \(\sqrt{s_{{\rm NN}}} = 2.76\) TeV at the LHC using Boltzmann transport equation with non-extensive statistics

  • Sushanta Tripathy
  • Swatantra Kumar Tiwari
  • Mohammed Younus
  • Raghunath Sahoo
Regular Article - Theoretical Physics

Abstract.

Elliptic flow in heavy-ion collisions is an important signature of a possible de-confinement transition from hadronic phase to partonic phase. In the present work, we use non-extensive statistics, which has been used for transverse momentum (\(p_{{\rm T}}\)) distribution in proton+proton (\( p+p\)) collisions, as the initial particle distribution function in Boltzmann Transport Equation (BTE). A Boltzmann-Gibbs Blast Wave (BGBW) function is taken as an equilibrium function to get the final distribution to describe the particle production in heavy-ion collisions. In this formalism, we try to estimate the elliptic flow in Pb+Pb collisions at \(\sqrt{s_{{\rm NN}}} = 2.76\) TeV at the LHC for different centralities. The elliptic flow (\( v_{2}\)) of identified particles seems to be described quite well in the available \(p_{{\rm T}}\) range. An approach which combines the non-extensive nature of particle production in \( p+p\) collisions through an evolution in kinetic theory using BTE, with BGBW as an equilibrium distribution is successful in describing the spectra and elliptic flow in heavy-ion collisions.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Sushanta Tripathy
    • 1
  • Swatantra Kumar Tiwari
    • 1
  • Mohammed Younus
    • 1
  • Raghunath Sahoo
    • 1
  1. 1.Discipline of Physics, School of Basic SciencesIndian Institute of Technology Indore, SimrolIndoreIndia

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