Hadron Mass Spectrum and the Shear Viscosity to Entropy Density Ratio of Hot Hadronic Matter

MeV have been shown to match hadron resonance gas model calculations, which include an exponentially rising hadron mass spectrum. In this paper we perform a more detailed comparison of the model calculations to lattice data that confirms the need for an exponentially increasing density of hadronic states. Also, we find that the lattice data is compatible with a hadron density of states that goes as

\rho(m) \sim m^{-a}\exp(m/T_H)

at large

m

with

a> 5/2

(where

T_H \sim 167

MeV). With this specific subleading contribution to the density of states, heavy resonances are most likely undergo 2-body decay (instead of multi-particle decay), which facilitates their inclusion into hadron transport codes. Moreover, estimates for the shear viscosity and the shear relaxation time coefficient of the hadron resonance model computed within the excluded volume approximation suggest that these transport coefficients are sensitive to the parameters that define the hadron mass spectrum.

Note:

16 pages, 12 figures

matter: hadronic
hadron: mass spectrum
heavy ion: scattering
critical phenomena
lattice field theory
hadron: resonance: gas
hadron: density
viscosity
entropy: density
partition function

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