Hartree-Fock formulation of the QMC model at finite temperature

Le résumé fourni par la source

A first application of the equation of state (EoS) in the quark-meson-coupling (QMC) model in thermodynamic scenarios corresponding to stationary and rotating isentropic protoneutron stars (PNS), producing results in agreement with recent observation, was published recently. In addition, a tabulated form of the EoS in the parameter space suitable for use in simulations of cold binary neutron star mergers (BNS) and their time development, has been deposited for public use in the CompOSE database. However, the theoretical background of the QMC EoS of hot hyperonic matter has not yet been presented. In this work, we report, for the first time, details of the QMC theory of dense matter, including nucleons, leptons, and the full hyperon octet, extended to particle number density from ${n}_{B}=0$ up to $1.2\text{ }\text{ }{\mathrm{fm}}^{\ensuremath{-}3}$, over the temperature range 0--100 MeV, with the entropy per particle between $\mathrm{S}/\mathrm{A}=0$ and $2{\mathrm{k}}_{B}$ and lepton fraction from ${\mathrm{Y}}_{L}=0$ to 0.6. The main objective of this work is to explore the effect of the exchange (Fock) terms at finite temperature, when they are self-consistently incorporated in the fully relativistic QMC Lagrangian. As already mentioned above, these terms are missing in most relativistic mean field models of hot dense hyperonic matter. We show that they have a non-negligible effect on observables of astrophysical objects and that it is essential they are included in realistic mean field calculations.

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