Abstract

The data on transverse momentum integrated hadron yields in different multiplicity classes of $p+p$ collisions at $\sqrt{s}=7$ TeV have been analyzed to extract the chemical freeze-out parameters using a thermal model. The chemical freeze-out parameters have been extracted for three different freeze-out schemes: (i) unified freeze-out for all hadrons in complete thermal equilibrium (1CFO), (ii) unified freeze-out for all hadrons with an additional parameter ${\ensuremath{\gamma}}_{S}$ which accounts for possible out-of-equilibrium production of strange hadrons ($1\mathrm{CFO}+{\ensuremath{\gamma}}_{S}$), and (iii) separate freeze-out for hadrons with and without strangeness content (2CFO). It has been observed that the $1\mathrm{CFO}+{\ensuremath{\gamma}}_{S}$ scheme gives the best description of the hadronic yields at midrapidity when multiplicity ($\ensuremath{\langle}d{N}_{ch}/d\ensuremath{\eta}\ensuremath{\rangle}$) of the collision is less than 10. This indicates that the strangeness is out of equilibrium in most of the multiplicity classes of $p+p$ collisions. All three parameters of this CFO scheme, temperature $T$, radius $R$ of the fireball, and strangeness suppression factor ${\ensuremath{\gamma}}_{S}$ increase with the increase of $\ensuremath{\langle}d{N}_{ch}/d\ensuremath{\eta}\ensuremath{\rangle}$. Furthermore, we have compared applicability of different CFO schemes considering two more colliding systems $p+\text{Pb}$ at $\sqrt{{s}_{\mathrm{NN}}}=5.02$ and $\text{Pb}+\text{Pb}$ at $\sqrt{{s}_{\mathrm{NN}}}=2.76$ TeV along with $p+p$ collisions at $\sqrt{s}=7$ TeV. We observe a freeze-out volume (or multiplicity) dependence of CFO schemes regardless of colliding ions. The $1\text{CFO}+{\ensuremath{\gamma}}_{S}$, 1CFO, and 2CFO schemes provide the best description of the data when the dimensionless quantity $V{T}^{3}$ approximately satisfies the conditions $V{T}^{3}<50, 50<V{T}^{3}<100$, and $V{T}^{3}>100$, respectively, or the corresponding multiplicity satisfies the conditions $\ensuremath{\langle}d{N}_{ch}/d\ensuremath{\eta}\ensuremath{\rangle}<30, 30<d{N}_{ch}/d\ensuremath{\eta}<60$, and $\ensuremath{\langle}d{N}_{ch}/d\ensuremath{\eta}\ensuremath{\rangle}>100$, respectively.

Highlights

  • In a high-energy ion collision, a fireball is produced

  • First we have studied dence of different chemical freeze-out (CFO) schemes in p

  • Since an almost equal number of particles and antiparticles are produced at this energy, chemical potentials are taken as zero for all the CFO schemes

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Summary

INTRODUCTION

In a high-energy ion collision, a fireball is produced. When the energy density at the core of the fireball is sufficiently high, the quark-gluon plasma (QGP), a deconfined phase of quarks and gluons, is formed. Inelastic interaction among the hadrons ceases at chemical freeze-out (CFO) At this stage, hadronic yields get fixed and do not change afterwards. In the most simplified formulation of the HRG model, it is assumed that the CFO of all the hadrons and resonances occurs at the same temperature, baryon chemical potential, and volume of the freeze-out surface. We call this unified CFO scheme 1CFO.

DIFFERENT CHEMICAL FREEZE-OUT SCHEMES
Canonical and strangeness canonical ensemble
RESULTS
Results of canonical ensemble
Results of strangeness canonical ensemble
Comparison of different freeze-out scenarios at LHC
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