Towards a new quark-nuclear matter EoS for applications in astrophysics and heavy-ion collisions
N.-U. Bastian, D. Blaschke

TL;DR
This paper develops a comprehensive equation of state for nuclear and quark matter applicable to both heavy-ion collisions and astrophysical phenomena, aiming for a unified description across diverse conditions.
Contribution
It introduces an improved EoS for hadronic and quark matter phases and discusses steps towards a unified quark-nuclear matter EoS beyond the traditional 2-phase approach.
Findings
Successful joining of hadronic and quark matter EoS via Maxwell construction
Identification of limitations in the 2-phase description
Proposal of a cluster virial expansion for a more fundamental EoS
Abstract
The aim of our work is to develop a unified equation of state (EoS) for nuclear and quark matter for a wide range in temperature, density and isospin so that it becomes applicable for heavy-ion collisions as well as for the astrophysics of neutron stars, their mergers and supernova explosions. As a first step, we use improved EoS for the hadronic and quark matter phases and join them via Maxwell construction. We discuss the limitations of a 2-phase description and outline steps beyond it, towards the formulation of a unified quark-nuclear matter EoS on a more fundamental level by a cluster virial expansion.
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