Delta isobars in relativistic mean-field models with $\sigma$-scaled hadron masses and couplings

Abstract

We extend the relativistic mean-field models with hadron masses and meson-baryon coupling constants dependent on the scalar $\sigma$ field, studied previously to incorporate $\Delta (1232)$ baryons. Available empirical information is analyzed to put constraints on the couplings of $\Delta$s with meson fields. Conditions for the appearance of $\Delta$s are studied. We demonstrate that with inclusion of the $\Delta$s our equations of state continue to fulfill majority of known empirical constraints including the pressure-density constraint from heavy-ion collisions, the constraint on the maximum mass of the neutron stars, the direct Urca and the gravitational-baryon mass ratio constraints.

46 pages, 21 figures

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• The Flow Constraint Influence on the Properties of Nuclear Matter Critical Endpoint
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• Equation of state and composition of proto-neutron stars and merger remnants with hyperons
• Cooling of neutron stars in "nuclear medium cooling scenario" with stiff equation of state including hyperons
• The induced surface tension contribution for the equation of state of neutron stars
• Charged $\rho$-meson condensation in neutron stars
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Massive neutron star with strangeness in a relativistic mean-field model with a high-density cut-off
• Exploring the effects of Delta Baryons in magnetars
• Hybrid Equations of State for Neutron Stars with Hyperons and Deltas
• Properties of Hybrid Stars with Density Dependent Bag Model
• Magnetic moments of the octet, decuplet, low-lying charm, and low-lying bottom baryons in a nuclear medium
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• Kaon-meson condensation and $\Delta$ resonance in hyperonic stellar matter within a relativistic mean-field model
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• Collision integral with momentum-dependent potentials and its impact on pion production in heavy-ion collisions
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• Probing the impact of Delta-Baryons on Nuclear Matter and Non-Radial Oscillations in Neutron Stars
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• Nonparametric extensions of nuclear equations of state: probing the breakdown scale of relativistic mean-field theory
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• RMF models with $\sigma$-scaled hadron masses and couplings for description of heavy-ion collisions below 2A GeV
• Strangeness thermodynamic instabilities in hot and dense nuclear matter
• Exploring $\Delta$-resonance in neutron stars: implications from astrophysical and nuclear observations
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• Tension between implications from PREX-2 data and gravitational tidal response on dense matter equation of state
• Magnetic field dependence of Delta isobars properties in a Skyrme model
• Effects of Phi and ${\sigma }^{\ast }$-meson on properties of hyperon stars including $\Delta$ resonance
• In-medium $\Delta (1232)$ potential, pion production in heavy-ion collisions and the symmetry energy
• Effects of three-baryon forces on kaon condensation in hyperon-mixed matter
• Heavy baryons in hot stellar matter with light nuclei and hypernuclei