Abstract

Hadronic resonances, having very short lifetime, like $\rm{K}^{*0}$, can act as useful probes to understand and estimate lifetime of hadronic phase in ultra-relativistic proton-proton, p--Pb and heavy-ion collisions. Resonances with relatively longer lifetime, like $\phi$ meson, can serve as a tool to locate the QGP phase boundary. We estimate a lower limit of hadronic phase lifetime in Cu--Cu and Au--Au collisions at RHIC, and in pp, p--Pb and Pb--Pb collisions at different LHC collision energies. Also, we obtain the effective temperature of $\phi$ meson using Boltzmann-Gibbs Blast-Wave function, which gives an insight to locate the QGP phase boundary. We observe that the hadronic phase lifetime strongly depends on final state charged-particle multiplicity, whereas the QGP phase and hence the QCD phase boundary shows a very weak multiplicity dependence. This suggests that the hadronisation from a QGP state starts at a similar temperature irrespective of charged-particle multiplicity, collision system and collision energy, while the endurance of hadronic phase is strongly dependent on final state charge-particle multiplicity, system size and collision energy.

Highlights

  • To reveal the nature of the quantum chromodynamics (QCD) phase transition and to get a glimpse of how matter behaves at such extreme conditions of temperature and energy density, experiments like the Relativisitic Heavy Ion Collider (RHIC) at BNL, USA, and the Large Hadron Collider (LHC) at CERN, Geneva, Switzerland, have performed hadronic and heavy-ion collisions at ultrarelativistic energies

  • The small collision systems like pp and p-Pb collisions at the LHC show different evolution compared to heavy-ion collisions

  • We have made an attempt to use hadronic resonances produced in pp, p-Pb, Cu-Cu, Au-Au, and Pb-Pb collisions to have an estimation of hadronic phase lifetime and to locate the quark-gluon plasma (QGP) phase boundary

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Summary

Introduction

To reveal the nature of the QCD phase transition and to get a glimpse of how matter behaves at such extreme conditions of temperature and energy density, experiments like the Relativisitic Heavy Ion Collider (RHIC) at BNL, USA, and the Large Hadron Collider (LHC) at CERN, Geneva, Switzerland, have performed hadronic and heavy-ion collisions at ultrarelativistic energies. Composite objects like mesons and baryons are the degrees of freedom [1]. QGP is governed by quantum chromodynamics (QCD) and it is the result of a first-order/cross-over phase transition from normal nuclear matter consisting of mesons and baryons [2,3]. It was believed that for small collision systems, the spacetime evolution could be different than that for heavy-ion collisions.

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