Building relativistic mean field models for finite nuclei and neutron stars

Abstract

Background: Theoretical approaches based on density functional theory provide the only tractable method to incorporate the wide range of densities and isospin asymmetries required to describe finite nuclei, infinite nuclear matter, and neutron stars. Purpose: A relativistic energy density functional (EDF) is developed to address the complexity of such diverse nuclear systems. Moreover, a statistical perspective is adopted to describe the information content of various physical observables. Methods: We implement the model optimization by minimizing a suitably constructed chi-square objective function using various properties of finite nuclei and neutron stars. The minimization is then supplemented by a covariance analysis that includes both uncertainty estimates and correlation coefficients. Results: A new model, FSUGold2, is created that can well reproduce the ground-state properties of finite nuclei, their monopole response, and that accounts for the maximum neutron star mass observed up to date. In particular, the model predicts both a stiff symmetry energy and a soft equation of state for symmetric nuclear matter--suggesting a fairly large neutron-skin thickness in Pb208 and a moderate value of the nuclear incompressibility. Conclusions: We conclude that without any meaningful constraint on the isovector sector, relativistic EDFs will continue to predict significantly large neutron skins. However, the calibration scheme adopted here is flexible enough to create models with different assumptions on various observables. Such a scheme--properly supplemented by a covariance analysis--provides a powerful tool to identify the critical measurements required to place meaningful constraints on theoretical models.

23 pages, 7 figures

References in corpus (16)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Neutron-Rich Nuclei in Heaven and Earth
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Astrophysical Measurement of the Equation of State of Neutron Star Matter
• Constraints on neutron star radii based on chiral effective field theory interactions
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Strongly paired fermions: Cold atoms and neutron matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Incompressibility of neutron-rich matter
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Why is Tin so soft?
• Neutron skins and neutron stars

Cited by in corpus (118)

• Implications of PREX-II on the equation of state of neutron-rich matter
• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• GW190814: Impact of a 2.6 solar mass neutron star on nucleonic equations of state
• Nuclear charge radii: Density functional theory meets Bayesian neural networks
• Equation of State for Nucleonic and Hyperonic Neutron Stars with Mass and Radius Constraints
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars
• Strong correlations of neutron star radii with the slopes of nuclear matter incompressibility and symmetry energy at saturation
• General relativistic treatment of $f$-mode oscillations of hyperonic stars
• Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties
• Tidal deformability of neutron and hyperon star with relativistic mean field equations of state
• Impact of the neutron star crust on the tidal polarizability
• Relativistic hypernuclear compact stars with calibrated equations of state
• Spanning the full range of neutron star properties within a microscopic description
• Impacts of dark matter on the $f$-mode oscillation of hyperon star
• Impact of the equation of state on $f$- and $p$- mode oscillations of neutron stars
• Imposing multi-physics constraints at different densities on the Neutron Star Equation of State
• Implications of PREX-2 on the electric dipole polarizability of neutron rich nuclei
• Dependence of fusion on isospin dynamics
• Multi-physics constraints at different densities to probe nuclear symmetry energy in hyperonic neutron stars
• Difference in proton radii of mirror nuclei as a possible surrogate for the neutron skin
• Muon and electron g-2 and proton and cesium weak charges implications on dark ${\mathbf{Z}}_{\mathbf{d}}$ models
• Role of vector self-interaction in Neutron Star properties
• Mirror Neutron Stars
• Impact of the nuclear symmetry energy on the post-merger phase of a binary neutron star coalescence
• Can the PREX-2 and CREX results be understood by relativistic mean-field models with the astrophysical constraints?
• Insights into nuclear saturation density from parity violating electron scattering
• Thermal evolution of relativistic hyperonic compact stars with calibrated equations of state
• Investigating Dark Matter-Admixed Neutron Stars with NITR Equation of State in Light of PSR J0952-0607
• Reconciling Nuclear and Astrophysical Constraints
• Supermassive Neutron Stars Rule Out Twin Stars
• Nucleon self-energies for supernova equations of state
• Confirming the existence of twin stars in a NICER way
• Effects of $\varphi$-meson on properties of hyperon stars in density dependent relativistic mean field model
• Rapid neutron star cooling triggered by dark matter
• Effect of isovector scalar meson on equation of state of dense matter within relativistic mean field model
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• Investigating tidal heating in neutron stars via gravitational Raman scattering
• Bayesian refinement of covariant energy density functionals
• Constraining nuclear parameters using Gravitational waves from f-mode Oscillations in Neutron Stars
• Can we decipher the composition of the core of a neutron star?
• Dense Matter in Neutron Stars with eXTP
• Compressional-mode resonances in the molybdenum isotopes: Emergence of softness in open-shell nuclei near A=90
• Bayesian inference of neutron-star observables based on effective nuclear interactions
• Constraining a relativistic mean field model using neutron star mass-radius measurements II: Hyperonic models
• Information and statistics: a new paradigm in theoretical nuclear physics
• Symmetry energy effect on the secondary component of GW190814 as a neutron star
• Pasta properties of the neutron star within effective relativistic mean-field model
• Crustal properties of a neutron star within an effective relativistic mean-field model
• BigApple force and its implications to finite nuclei and astrophysical objects
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Tidal heating as a direct probe of strangeness inside neutron stars
• Constraining the equation of state of hybrid stars using recent information from multidisciplinary physics
• First Determination of the 27Al Neutron Distribution Radius from a Parity-Violating Electron Scattering Measurement
• Rapidly rotating neutron stars: Universal relations and EOS inference
• The impact of asymmetric dark matter on the thermal evolution of nucleonic and hyperonic compact stars
• A Bayesian mixture model approach to quantifying the empirical nuclear saturation point
• Coherent elastic neutrino-nucleus scattering with the $\nu$BDX-DRIFT directional detector at next generation neutrino facilities
• New covariant density functionals of nuclear matter for compact star simulations
• Constraining dense matter physics using f-mode oscillations in neutron stars
• The Dirac oscillator: an alternative basis for nuclear structure calculations
• Isotopic shift and search of magic number in the superheavy region
• Neutron Stars in Modified Teleparallel Gravity
• Constraining neutron star matter from the slope of the mass-radius curves
• Charge radii of potassium isotopes in the RMF(BCS)* approach
• Polytropic fits of modern and unified equations of state
• Appearance of peak in symmetry energy at N = 126 for Pb isotopic chain within relativistic energy density functional
• Bayesian inference of neutron-skin thickness and neutron-star observables based on effective nuclear interactions
• Systematic study of surface properties for Ne, Na, Mg, Al and Si isotopes in a coherent density fluctuation model using the relativistic mean field formalism
• Total Energy in Supernova Neutrinos and the Tidal Deformability and Binding Energy of Neutron Stars
• Fast neutrino cooling in the accreting neutron star MXB 1659-29
• Weak charge and weak radius of ${}^{12}$C
• Effect of dark matter interaction on hybrid star in the light of the recent astrophysical observations
• Comprehensive Analysis of Constructing Hybrid Stars with an RG-consistent NJL Model
• Incompressibility and Symmetry Energy of Neutron Star
• Cost of inferred nuclear parameters towards the f-mode dynamical tide in binary neutron stars
• Is the central compact object in HESS J1731-347 a hybrid star with a quark core? An analysis with the constant speed of sound parametrization
• Refined determination of the weak mixing angle at low energy
• Evolution of nuclear charge radii in copper and indium isotopes
• ${}^{50}$Ti($d$,$p$)${}^{51}$Ti, single neutron energies in the $N=29$ isotones and the $N=32$ subshell closure
• Probing the impact of Delta-Baryons on Nuclear Matter and Non-Radial Oscillations in Neutron Stars
• Influence of effective nucleon mass on equation of state for supernova simulations and neutron stars
• Investigating the role of nuclear parameters on oscillation modes in hot Neutron Stars
• Multi-Messenger and Cosmological Constraints on Dark Matter through Two-Fluid Neutron Star Modeling
• ${}^{54}$Fe($d$,$p$)${}^{55}$Fe and the evolution of single neutron energies in the $N=29$ isotones
• Simultaneous Extraction of the Weak Radius and the Weak Mixing Angle from Parity-Violating Electron Scattering on ${}^{12}\mathrm{C}$
• Emergence of low-energy monopole strength in the neutron-rich calcium isotopes
• Quantifying statistical uncertainties in ab initio nuclear physics using Lagrange multipliers
• Neutron Decay Anomaly and Its Effects on Neutron Star Properties
• From noise to information: The transfer function formalism for uncertainty quantification on nuclear density reconstruction
• Detecting Hyperons in neutron stars -- a machine learning approach
• Investigating the role of nuclear parameters in Neutron Star oscillations: a model comparison
• Density dependence of symmetry energy and neutron skin thickness revisited using relativistic mean field models with nonlinear couplings
• Connecting Relativistic Density Functional Theory to Microscopic Calculations
• On the possible existence of a soft dipole mode in 8He
• Effect of Dark matter and $\sigma$-cut potential on radial and non-radial oscillation modes in neutron stars
• Unveiling a universal relationship between the f(R) parameter and neutron star properties
• Properties of hot finite nuclei and associated correlations with infinite nuclear matter
• Spectroscopy of ${}^{54}$Ti and the systematic behavior of low energy octupole states in Ca and Ti isotopes
• Neutron Stars in Mimetic Gravity
• $f$-mode oscillations in hot Neutron Stars: Effect of hyperons and neutrino trapping
• Novel features of asymmetric nuclear matter from terrestrial experiments and astrophysical observations of neutron stars
• Inner crust equations of state for CompOSE
• Analytic insights on the information content of new observables
• Correlation between the curvature and some properties of the neutron star
• Electric dipole polarizability of neutron rich nuclei
• Characterizing the quark-hadron mixed phase in compact star cores : sensitivity to nuclear saturation and quark-model parameters at finite-temperature
• Calculation of the transport coefficients in neutron star
• Equation of state for hot hyperonic neutron star matter
• Landau parameters and entrainment matrix of cold stellar matter: effect of the symmetry energy and strong magnetic fields
• Systematic study for the surface properties of neutron star
• Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description
• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model
• Tracing the Trace Anomaly of Dense Matter inside Neutron Stars
• Toward a Unified Understanding of the Dense Matter Equation of State
• Inferring the nuclear symmetry energy at supra saturation density from neutrino cooling
• The spin-polarized ferromagnetic state of a cold Fermi gas
• Realistic Equations of State Informing Neutron Star Post-Merger Gravitational-Wave Frequencies