Dynamics of Chemical Equilibrium of Hadronic Matter Close to $T_c$

Abstract

Quick chemical equilibration times of hadrons (specifically, $p\bar{p}$, $K\bar{K}$, $\Lambda \bar{\Lambda }$, and $\Omega \bar{\Omega }$ pairs) within a hadron gas are explained dynamically using Hagedorn states, which drive particles into equilibrium close to the critical temperature. Within this scheme, we use master equations and derive various analytical estimates for the chemical equilibration times. We compare our model to recent lattice results and find that for both $T_c=176$ MeV and $T_c=196$ MeV, the hadrons can reach chemical equilibrium almost immediately, well before the chemical freeze-out temperatures found in thermal fits for a hadron gas without Hagedorn states. Furthermore the ratios $p/\pi$, $K/\pi$, $\Lambda /\pi$, and $\Omega /\pi$ match experimental values well in our dynamical scenario.

20 pages, 56 figures

References in corpus (10)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• Bulk viscosity of QCD matter near the critical temperature
• Fast Equilibration of Hadrons in an Expanding Fireball
• The order, shape and critical point for the quark-gluon plasma phase transition
• Chemical equilibration due to heavy Hagedorn states
• The thermodynamics for a hadronic gas of fireballs with internal color structures and chiral fields
• Chemical Equilibration and Transport Properties of Hadronic Matter near $T_c$

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