Matching the Hagedorn mass spectrum with Lattice QCD results

Abstract

Based on recent Lattice QCD (LQCD) results obtained at finite temperature, we discuss modeling of the hadronic phase of QCD in the framework of Hadron Resonance Gas (HRG) with discrete and continuous mass spectra. We focus on fluctuations of conserved charges, and show how a common limiting temperature can be used to constrain the Hagedorn exponential mass spectrum in different sectors of quantum number, through a matching of HRG and LQCD. For strange baryons, the extracted spectra are found to be consistent with all known and expected states listed by the Particle Data Group (PDG). The strange-mesonic sector, however, requires additional states in the intermediate mass range beyond that embodied in the database.

8 pages, 4 figures, version to appear in phys. rev. c

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Cited by in corpus (23)

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• Freezeout systematics due to the hadron spectrum
• Thermodynamics of strange baryon system from coupled-channel analysis and missing states
• Fluctuations near the liquid-gas and chiral phase transitions in hadronic matter
• Fluctuations and correlations of baryonic chiral partners
• Effect of Hagedorn States on Isothermal Compressibility of Hadronic Matter formed in Heavy-Ion Collisions: From NICA to LHC Energies
• An estimate of the bulk viscosity of the hadronic medium
• Effects of hadronic repulsive interactions on the fluctuations of conserved charges
• Interplay between chiral dynamics and repulsive interactions
• Density of States of a Coupled-Channel System
• Thermalization in small system of hadron gas and high-multiplicity pp events
• The thermodynamics of large-N QCD and the nature of metastable phases
• Constraining the hadronic spectrum and repulsive interactions in a hadron resonance gas via fluctuations of conserved charges
• Overlap between Lattice QCD and HRG with in-medium effects and parity doubling
• String-based model with Hagedorn temperature of $T_H\sim 300$MeV describes the spectrum of mesons and glueballs
• Influence of modified light-flavor hadron spectra on particle yields in the statistical hadronization model
• Corrections to the hadron resonance gas from lattice QCD and their effect on fluctuation-ratios at finite density
• The $\eta /s$ of the LQCD-EoS complied hadron gas of different sizes approach common minimum near the crossover temperature
• Additional strange resonances from Lattice QCD
• Testing the hadronic spectrum in the strange sector
• Limits on hadron spectrum from bulk medium properties