Matching the Hagedorn mass spectrum with Lattice QCD results

TL;DR

This paper integrates recent Lattice QCD results with the Hadron Resonance Gas model to constrain the Hagedorn mass spectrum, revealing consistency in strange baryons and suggesting additional states are needed for strange mesons.

Contribution

It introduces a method to constrain the Hagedorn spectrum using LQCD data, improving the modeling of the hadronic phase in QCD.

Findings

Strange baryon spectra align with known states from PDG.

Strange meson sector indicates missing intermediate-mass states.

A common limiting temperature constrains the Hagedorn spectrum across sectors.

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.