Abstract

High energy collisions are the laboratories within our reach to study strongly interacting matter under extreme temperatures. In the present study, we use a quarkonia suppression scheme to explain the bottomonium production at the two energies available at the CERN Large Hadron Collider. We employ echo-qgp to model the $(3+1)$-dimensional relativistic viscous hydrodynamic evolution of the medium. Bottomonia produced in the early stage dissociates due to color screening, gluonic dissociation, and collisional damping in addition to shadowing as an initial state effect. In the color screening mechanism, the temperature from hydrodynamics is used to find the screening radii at each centrality and rapidity. The shadowing effect utilizes the parton distribution functions obtained from the CT14 global analysis and shadowing factors from EPPS16. A lattice QCD based equation of state from the Wuppertal-Budapest Collaboration has been used. The experimental values of pion $({\ensuremath{\pi}}^{+})$ spectra were used to constrain the initial conditions of the dynamics. The bottomonium suppression is determined as a function of centrality, transverse momentum, and rapidity for $\mathrm{\ensuremath{\Upsilon}}(1S)$ and $\mathrm{\ensuremath{\Upsilon}}(2S)$ states at the LHC energies of 2.76 and $5.02\phantom{\rule{4pt}{0ex}}\mathrm{TeV}$. We find a fairly good agreement between our theoretically calculated survival probability and the measured nuclear modification factor $({R}_{AA})$ at the two energies.

Highlights

  • We have made considerable progress in our understanding of the strong interaction since the advent of heavy-ion collision experiments, especially at the BNL Relativistic Heavy-ion Collider (RHIC) and at the CERN Large Hadron Collider (LHC)

  • ECHO-quark-gluon plasma (QGP) has allowed us to find (3+1)-dimensional evolution of the relevant physical quantities associated with the medium formed just after the collisions

  • The temperatures at different centralities and rapidities have been extracted from ECHO-QGP and fed into the suppression formalism

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Summary

INTRODUCTION

We have made considerable progress in our understanding of the strong interaction since the advent of heavy-ion collision experiments, especially at the BNL Relativistic Heavy-ion Collider (RHIC) and at the CERN Large Hadron Collider (LHC). Quarkonia are mesonic bound states of heavy quarks and heavy antiquarks, which are produced in the early stage of collision They could dissociate due to various types of interactions with the partons in the medium and would be detected in comparatively lesser number than in collision systems where we do not expect QGP, like at low energies and in p-p collisions [15]. In our earlier work [22], we explained the pT and Npart dependence of RAA over a range of LHC energies It was based on the suppression due to color screening, gluonic dissociation, and collisional damping under (1+1)-dimensional Bjorken’s expansion of the thermalized medium. IV we summarize our results obtained and conclude the work

FORMALISM
Suppression formalism
Recombination mechanisms
Final number of bottomonia
RESULTS AND DISCUSSIONS
SUMMARY AND CONCLUSION
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