Constraining mean-field models of the nuclear matter equation of state at low densities

Abstract

An extension of the generalized relativistic mean-field (gRMF) model with density dependent couplings is introduced in order to describe thermodynamical properties and the composition of dense nuclear matter for astrophysical applications. Bound states of light nuclei and two-nucleon scattering correlations are considered as explicit degrees of freedom in the thermodynamical potential. They are represented by quasiparticles with medium-dependent properties. The model describes the correct low-density limit given by the virial equation of state (VEoS) and reproduces RMF results around nuclear saturation density where clusters are dissolved. A comparison between the fugacity expansions of the VEoS and the gRMF model provides consistency relations between the quasiparticles properties, the nucleon-nucleon scattering phase shifts and the meson-nucleon couplings of the gRMF model at zero density. Relativistic effects are found to be important at temperatures that are typical in astrophysical applications. Neutron matter and symmetric matter are studied in detail.

50 pages, 21 figures

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Cited by in corpus (31)

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• Dynamics of clusters and fragments in heavy-ion collisions
• Delta isobars in relativistic mean-field models with $\sigma$-scaled hadron masses and couplings
• Nuclear Equation of state for Compact Stars and Supernovae
• Nuclear matter equation of state including few-nucleon correlations $(A\le 4)$
• Relativistic Mean-Field Models with Scaled Hadron Masses and Couplings: Hyperons and Maximum Neutron Star Mass
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• Light clusters in warm stellar matter: explicit mass shifts and universal cluster-meson couplings
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• Full distribution of clusters with universal couplings and in-medium effects
• Light Clusters and Pasta Phases in Warm and Dense Nuclear Matter
• Cooling of neutron stars in "nuclear medium cooling scenario" with stiff equation of state including hyperons
• Medium modifications for light and heavy nuclear clusters in simulations of core collapse supernovae -- Impact on equation of state and weak interactions
• Charged $\rho$-meson condensation in neutron stars
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• Improved method for the experimental determination of in-medium effects from heavy-ion collisions
• Light clusters in warm stellar matter: calibrating the cluster couplings
• Scalar quanta in Fermi liquids: zero sounds, instabilities, Bose condensation, and a metastable state in dilute nuclear matter
• Employing ternary fission of ${}^{242}$Pu as a probe of very neutron rich matter
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• RMF models with $\sigma$-scaled hadron masses and couplings for description of heavy-ion collisions below 2A GeV
• Influence of the tetraneutron on the EoS under core-collapse supernovae and heavy-ion collisions conditions
• The effects of medium on nuclear properties in multifragmentation
• Phase-space excluded-volume approach for light clusters in nuclear medium