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Open AccessArticle

Towards a Unified Quark-Hadron-Matter Equation of State for Applications in Astrophysics and Heavy-Ion Collisions

1
Institute of Theoretical Physics, University of Wroclaw, 50-137 Wroclaw, Poland
2
Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
3
National Research Nuclear University (MEPhI), 115409 Moscow, Russia
4
Institute of Physics, University of Rostock, 18051 Rostock, Germany
*
Author to whom correspondence should be addressed.
Universe 2018, 4(6), 67; https://doi.org/10.3390/universe4060067
Received: 26 April 2018 / Revised: 15 May 2018 / Accepted: 16 May 2018 / Published: 25 May 2018
(This article belongs to the Special Issue Compact Stars in the QCD Phase Diagram)
We outline an approach to a unified equation of state for quark-hadron matter on the basis of a Φ derivable approach to the generalized Beth-Uhlenbeck equation of state for a cluster decomposition of thermodynamic quantities like the density. To this end we summarize the cluster virial expansion for nuclear matter and demonstrate the equivalence of the Green’s function approach and the Φ derivable formulation. As an example, the formation and dissociation of deuterons in nuclear matter is discussed. We formulate the cluster Φ derivable approach to quark-hadron matter which allows to take into account the specifics of chiral symmetry restoration and deconfinement in triggering the Mott-dissociation of hadrons. This approach unifies the description of a strongly coupled quark-gluon plasma with that of a medium-modified hadron resonance gas description which are contained as limiting cases. The developed formalism shall replace the common two-phase approach to the description of the deconfinement and chiral phase transition that requires a phase transition construction between separately developed equations of state for hadronic and quark matter phases. Applications to the phenomenology of heavy-ion collisions and astrophysics are outlined. View Full-Text
Keywords: cluster virial expansion; quark-hadron matter; Mott dissociation; Beth-Uhlenbeck equation of state; heavy-ion collisions; supernova explosions; mass-twin stars cluster virial expansion; quark-hadron matter; Mott dissociation; Beth-Uhlenbeck equation of state; heavy-ion collisions; supernova explosions; mass-twin stars
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Bastian, N.-U.F.; Blaschke, D.; Fischer, T.; Röpke, G. Towards a Unified Quark-Hadron-Matter Equation of State for Applications in Astrophysics and Heavy-Ion Collisions. Universe 2018, 4, 67.

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