{ "id": "1709.06354", "version": "v1", "published": "2017-09-19T11:34:20.000Z", "updated": "2017-09-19T11:34:20.000Z", "title": "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", "authors": [ "Sushanta Tripathy", "Swatantra Kumar Tiwari", "Mohammed Younus", "Raghunath Sahoo" ], "comment": "9 pages and 12 Figures, Submitted for publication", "categories": [ "hep-ph", "nucl-th" ], "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 equilibrium distribution is successful in describing the spectra and elliptic flow in heavy-ion collisions.", "revisions": [ { "version": "v1", "updated": "2017-09-19T11:34:20.000Z" } ], "analyses": { "keywords": [ "elliptic flow", "boltzmann transport equation", "non-extensive statistics", "heavy-ion collisions", "particle production" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }