# Hagedorn bag-like model with a crossover transition meets lattice QCD

Vovchenko, Volodymyr (Institut für Theoretische Physik, Goethe Universität Frankfurt, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany) (Frankfurt Institute for Advanced Studies, Giersch Science Center, Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main, Germany) ; Gorenstein, Mark I. (Frankfurt Institute for Advanced Studies, Giersch Science Center, Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main, Germany) (Bogolyubov Institute for Theoretical Physics, 03680 Kiev, Ukraine) ; Greiner, Carsten (Institut für Theoretische Physik, Goethe Universität Frankfurt, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany) ; Stoecker, Horst (Institut für Theoretische Physik, Goethe Universität Frankfurt, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany) (Frankfurt Institute for Advanced Studies, Giersch Science Center, Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main, Germany) (GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt, Germany)

10 April 2019

Abstract: Thermodynamic functions, the (higher-order) fluctuations and correlations of conserved charges at ${\mu }_{B}=0$, and the Fourier coefficients of net-baryon density at imaginary ${\mu }_{B}$, are considered in the framework of a Hagedorn bag-like model with a crossover transition. The qualitative behavior of these observables is found to be compatible with lattice QCD results. Fair quantitative description of the lattice data is obtained when quasiparticle-type quarks and gluons with nonzero masses are introduced into the bag spectrum. The equation of state of the model exhibits a smooth and wide crossover transition.

Published in: Physical Review C 99 (2019)