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The European Physical Journal C

, Volume 66, Issue 1–2, pp 207–213 | Cite as

The speed of sound in hadronic matter

  • P. Castorina
  • J. Cleymans
  • D. E. MillerEmail author
  • H. Satz
Regular Article - Theoretical Physics

Abstract

We calculate the speed of sound c s in an ideal gas of resonances, whose mass spectrum is assumed to have the Hagedorn form ρ(m)∼m a exp {bm}, which leads to singular behavior at the critical temperature T c =1/b. With a=4 the pressure and the energy density remain finite at T c , while the specific heat diverges there. As a function of the temperature, the corresponding speed of sound initially increases similarly to that of an ideal pion gas, until near T c resonance effects dominate, which causes c s to vanish as (T c T)1/4. In order to compare this result to the physical resonance gas models, we introduce an upper cut-off M in the resonance mass integration. Although the truncated form still decreases somewhat in the region around T c , the actual critical behavior in these models is no longer present.

Keywords

Partition Function Critical Behavior Resonance Spectrum Entropy Density Gluon Plasma 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • P. Castorina
    • 1
  • J. Cleymans
    • 2
  • D. E. Miller
    • 3
    • 4
    Email author
  • H. Satz
    • 3
  1. 1.Dipartimento di FisicaUniversità di Catania and INFN Sezione di CataniaCataniaItaly
  2. 2.Physics DepartmentUniversity of Cape TownCape TownSouth Africa
  3. 3.Fakultät für PhysikUniversität BielefeldBielefeldGermany
  4. 4.Department of PhysicsPennsylvania State UniversityHazletonUSA

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