$\Delta$ (1232) effects in density-dependent relativistic Hartree-Fock theory and neutron stars

Abstract

The density-dependent relativistic Hartree-Fock (DDRHF) theory is extended to include $\Delta$-isobars for the study of dense nuclear matter and neutron stars. To this end, we solve the Rarita-Schwinger equation for spin-3/2 particle. Both the direct and exchange terms of the $\Delta$-isobars' self-energies are evaluated in details. In comparison with the relativistic mean field theory (Hartree approximation), a weaker parameter dependence is found for DDRHF. An early appearance of $\Delta$-isobars is recognized at ${\rho }_B\sim 0.27$fm${}^{-3}$, comparable with that of hyperons. Also, we find that the $\Delta$-isobars' softening of the equation of state is found to be mainly due to the reduced Fock contributions from the coupling of the isoscalar mesons, while the pion contributions are found negligibly small. We finally conclude that with typical parameter sets, neutron stars with $\Delta$-isobars in their interiors could be as heavy as the two massive pulsars whose masses are precisely measured, with slightly smaller radii than normal neutron stars.

arXiv comment13 pages, 7 figures, 5 tables, 4 appendixes, Phys. Rev. C (2016) accepted

References in corpus (30)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Masses, Radii, and Equation of State of Neutron Stars
• Core-collapse supernova equations of state based on neutron star observations
• Constraining the Symmetry Parameters of the Nuclear Interaction
• Astrophysical Measurement of the Equation of State of Neutron Star Matter
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Density-Dependent Relativistic Hartree-Fock Approach
• Neutron Star Masses and Radii from Quiescent Low-Mass X-ray Binaries
• Measurement of the Radius of Neutron Stars with High S/N Quiescent Low-mass X-ray Binaries in Globular Clusters
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Can very compact and very massive neutron stars both exist?
• Spin-isospin resonances: A self-consistent covariant description
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Too massive neutron stars: The role of dark matter?
• Deconfinement phase transition in hybrid neutron stars from the Brueckner theory with three-body forces and a quark model with chiral mass scaling
• Determination of the Gamow-Teller Quenching Factor from Charge Exchange Reactions on 90Zr
• Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars
• Hyperon stars at finite temperature in the Brueckner theory
• Neutron star properties in density-dependent relativistic Hartree-Fock theory
• Pseudo-spin symmetry in density-dependent relativistic Hartree-Fock theory
• Hyperon effects in covariant density functional theory with recent astrophysical observations
• Neutron stars with small radii -- the role of delta resonances
• QCD sum rules for $\Delta$ isobar in nuclear matter
• Massive hybrid stars with a first order phase transition
• Microscopic three-body forces and kaon condensation in cold neutrino-trapped matter
• Protoneutron stars in the Brueckner-Hartree-Fock approach and finite-temperature kaon condensation
• Symmetry potential of $\Delta (1232)$ resonance and its effects on the ${\pi }^{-}/{\pi }^{+}$ ratio in heavy-ion collisions near the pion production threshold
• Extended quark mean-field model for neutron stars
• Incoherent Neutrinoproduction of Photons and Pions in a Chiral Effective Field Theory for Nuclei

Cited by in corpus (46)

• Gravitational waves from neutron star mergers and their relation to the nuclear equation of state
• Progress in Constraining Nuclear Symmetry Energy Using Neutron Star Observables Since GW170817
• Competition between delta isobars and hyperons and properties of compact stars
• Bayesian Inference of High-density Nuclear Symmetry Energy from Radii of Canonical Neutron Stars
• GW190814's secondary component with mass $(2.50-2.67)$ M${}_{\odot }$ as a super-fast pulsar
• Neutron star equation of state from the quark level in the light of GW170817
• Proto-neutron stars with heavy baryons and universal relations
• Interplay between $\Delta$ Particles and Hyperons in Neutron Stars
• Delta baryons and diquark formation in the cores of neutron stars
• Constraining strangeness in dense matter with GW170817
• Equations of state for hot neutron stars -- II. The role of exotic particle degrees of freedom
• Hypernuclear stars from relativistic Hartree-Fock density functional theory
• Massive $\Delta$-resonance admixed hypernuclear stars with anti-kaon condensations
• Rapidly rotating $\Delta$-resonance-admixed hypernuclear compact stars
• Constraining compact star properties with nuclear saturation parameters
• $\Delta$-admixed neutron stars: spinodal instabilities and dUrca processes
• Delta-resonances and hyperons in proto-neutron stars and merger remnants
• Strangeness and $\Delta$ resonance in compact stars with relativistic-mean-field models
• Neutron star matter with strange interactions in a relativistic quark model
• Translating neutron star observations to nuclear symmetry energy via artificial neural networks
• New equation of states for postmerger supramassive quark stars
• Catalysis of partial chiral symmetry restoration by Delta matter
• Many-body forces in magnetic neutron stars
• Effects of $\varphi$-meson on properties of hyperon stars in density dependent relativistic mean field model
• Chiral symmetry restoration and the $\Delta$ matter formation in neutron stars
• Constraints on the muon fraction and density profile in neutron stars
• Equation of state and composition of proto-neutron stars and merger remnants with hyperons
• The Hadron-Quark Crossover in Neutron Star within Gaussian Process Regression Method
• Exotic Baryons in Hot Neutron Stars
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Properties of Hybrid Stars with Density Dependent Bag Model
• Variation of delta baryon mass and hybrid star properties in static and rotating conditions
• Hybrid Stars Built with Density Dependent Models
• Baryonic dense matter in view of gravitational-wave observations
• Influence of the nuclear symmetry energy slope on observables of compact stars with $\Delta$-admixed hypernuclear matter
• Deconfinement of non-strange hadronic matter with nucleons and $\Delta$ baryons to quark matter in neutron stars
• Thermal x-ray studies of neutron stars and the equation of state
• Exploring $\Delta$-resonance in neutron stars: implications from astrophysical and nuclear observations
• Symmetry energy of super-dense neutron-rich matter from integrating barotropic pressures in neutron stars and heavy-ion reactions
• Role of $\Delta$s in determining the properties of Neutron Stars in parameterized hydrostatic equilibrium
• Applicability of Relativistic Point-Coupling Models to Neutron Star Physics
• In-medium $\Delta (1232)$ potential, pion production in heavy-ion collisions and the symmetry energy
• A study of the elastic $\pi N$ scattering at finite baryon density
• Pulsar glitch and nuclear EoS: Applicability of superfluid model
• Properties of H particle-admixed compact star
• On the Destabilization of High-Mass Neutron Stars by the Emergence of $d^{\ast }$-Hexaquarks