Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars

Abstract

The critical densities and impact of forming \D resonances in neutron stars are investigated within an extended nonlinear relativistic mean-field (RMF) model. The critical densities for the formation of four different charge states of \D are found to depend differently on the separate kinetic and potential parts of nuclear symmetry energy, the first example of a microphysical property of neutron stars to do so. Moreover, they are sensitive to the in-medium Delta mass $m_{\Delta }$ and the completely unknown $\Delta$-$\rho$ coupling strength $g_{\rho \Delta }$. In the universal baryon-meson coupling scheme where the respective $\Delta$-meson and nucleon-meson coupling constants are assumed to be the same, the critical density for the first ${\Delta }^{-}(1232)$ to appear is found to be \rc=$(2.08\pm 0.02){\rho }_0$ using RMF model parameters consistent with current constraints on all seven macroscopic parameters usually used to characterize the equation of state (EoS) of isospin-asymmetric nuclear matter (ANM) at saturation density ${\rho }_0$. Moreover, the composition and the mass-radius relation of neutron stars are found to depend significantly on the values of the $g_{\rho \Delta }$ and $m_{\Delta }$.

Discussions and 2 Appendixes added. Version accepted by PRC

References in corpus (23)

• A Massive Pulsar in a Compact Relativistic Binary
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Neutron-Rich Nuclei in Heaven and Earth
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Momentum sharing in imbalanced Fermi systems
• Building relativistic mean field models for finite nuclei and neutron stars
• Dense Matter in Compact Stars: Theoretical Developments and Observational Constraints
• Constraining the High-Density Behavior of Nuclear Symmetry Energy with the Tidal Polarizability of Neutron Stars
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Recent observation of short range nucleon correlations in nuclei and their implications for the structure of nuclei and neutron stars
• Symmetry Energy of Nucleonic Matter With Tensor Correlations
• Locating the inner edge of neutron star crust using terrestrial nuclear laboratory data
• Neutron skins and neutron stars
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula
• Neutron stars with small radii -- the role of delta resonances
• Hot and dense hadronic matter in an effective mean field approach
• Constraining the density slope of nuclear symmetry energy at subsaturation densities using electric dipole polarizability in ${}^{208}$Pb
• Density-dependent nucleon-nucleon interaction from three-nucleon forces
• Effects of short-range correlation reduced kinetic symmetry energy in heavy-ion collisions at intermediate energies
• Delta(1232) and Nucleon Spectral Functions in Hot Hadronic Matter
• Dynamical instabilities of warm $np{e}^{-}$ matter: the $\delta$ meson effects
• Influence of scalar-isovector delta-meson field on quark phase structure in neutron stars
• Effects of the density dependence of nuclear symmetry energy on properties of superheavy nuclei

Cited by in corpus (5)

• $\Delta$ (1232) effects in density-dependent relativistic Hartree-Fock theory and neutron stars
• Many-body forces in magnetic neutron stars
• Effects of energy conservation on equilibrium properties of hot asymmetric nuclear matter
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Neutron star equations of state with optical potential constraint