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Hartree-Fock Formulation of the QMC Model at Finite Temperature

2023/10/30 by P.A.M. Guichon, Guichon, P A M, J. R. Stone +3
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Gamma-ray bursts and supernovae #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.2310.19262

Abstract

We present, for the first time, a detailed theory of high density matter including the entire baryon octet at finite temperature, based on a fully relativistic mean field model with a consistent treatment of exchange (Fock) terms, using the quark-meson-coupling model (QMC). It has been already demonstrated that the QMC equation of state is applicable in thermodynamic scenarios in stationary and rotating isentropic proto-neutron stars, producing results in agreement with recent observation. It is also suitable for the simulation of the behavior following a binary neutron star merger [1]; https://compose.obspm.fr/eos/205. We develop a comprehensive demonstration of the impact of the Fock terms in the QMC energy density functional on properties of neutrinoless proto-neutron stars with cores containing the full hyperon octet with constant entropy, S/A=2kB. Given the interest in the properties of the proto-neutron star remaining after either a supernova explosion or the merger of two neutron stars, it is vital to develop modern equations of state at finite temperature. While much attention has been paid to relativistic mean-field calculations at finite temperature, it is crucial to explore the consequences of a consistent treatment of the Fock terms.

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