The equation of state for dense nucleonic matter from a metamodeling. I. Foundational aspects

Abstract

A metamodeling for the nucleonic equation of state (EOS), inspired from a Taylor expansion around the saturation density of symmetric nuclear matter, is proposed and parameterized in terms of the empirical parameters. The present knowledge of nuclear empirical parameters is first reviewed in order to estimate their average values and associated uncertainties, and thus defining the parameter space of the metamodeling. They are divided into isoscalar and isovector type, and ordered according to their power in the density expansion. The goodness of the metamodeling is analyzed against the predictions of the original models. In addition, since no correlation among the empirical parameters is assumed a priori, all arbitrary density dependences can be explored, which might not be accessible in existing functionals. Spurious correlations due to the assumed functional form are also removed. This meta-EOS allows direct relations between the uncertainties on the empirical parameters and the density dependence of the nuclear equation of state and its derivatives, and the mapping between the two can be done with standard Bayesian techniques. A sensitivity analysis shows that the more influential empirical parameters are the isovector parameters $L_{sym}$ and $K_{sym}$, and that laboratory constraints at super-saturation densities are essential to reduce the present uncertainties. The present metamodeling for the EOS for nuclear matter is proposed for further applications in neutron stars and supernova matter.

References in corpus (94)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Isospin Asymmetry in Nuclei and Neutron Stars
• The Equation of State from Observed Masses and Radii of Neutron Stars
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Recent Progress in Quantum Hadrodynamics
• Equation of state and neutron star properties constrained by nuclear physics and observation
• Skyrme Interaction and Nuclear Matter Constraints
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Nuclear Energy Density Optimization
• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Nuclear energy density optimization: Large deformations
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• The Neutron Star Mass-Radius Relation and the Equation of State of Dense Matter
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Astrophysical Measurement of the Equation of State of Neutron Star Matter
• The effective force NL3 revisited
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Shape Coexistence and the Effective Nucleon-Nucleon Interaction
• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Asymmetric Nuclear Matter from Extended Brueckner-Hartree-Fock Approach
• Symmetry Energy II: Isobaric Analog States
• Microscopic determination of the nuclear incompressibility within the non-relativistic framework
• Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
• Symmetry Energy I: Semi-Infinite Matter
• Density dependent hadron field theory for asymmetric nuclear matter and exotic nuclei
• Constraints on the Symmetry Energy Using the Mass-Radius Relation of Neutron Stars
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• 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
• Core-crust transition in neutron stars: predictivity of density developments
• A microscopic estimate of the nuclear matter compressibility and symmetry energy in relativistic mean-field models
• Effective Nucleon Masses in Symmetric and Asymmetric Nuclear Matter
• Incompressibility in finite nuclei and nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Reconstructing the Neutron-Star Equation of State from Astrophysical Measurements
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• The equation of state for dense nucleonic matter from a meta-modeling. II. Predictions for neutron stars properties
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Incompressibility of neutron-rich matter
• Constraining the nuclear equation of state at subsaturation densities
• From Brueckner Approach to Skyrme-type Energy Density Functional
• A new Skyrme interaction with improved spin-isospin properties
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• The Ultimate Energy Density of Observable Cold Matter
• The equation of state of neutron matter, symmetry energy, and neutron star structure
• Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
• From finite nuclei to the nuclear liquid drop: leptodermous expansion based on the self-consistent mean-field theory
• Accurate nuclear masses from a three parameter Kohn-Sham DFT approach (BCPM)
• Rejecting proposed dense-matter equations of state with quiescent low-mass X-ray binaries
• Low densities in nuclear and neutron matters and in the nuclear surface
• Instabilities of infinite matter with effective Skyrme-type interactions
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• Nuclear matter fourth-order symmetry energy in the relativistic mean field models
• Nuclear symmetry energy and core-crust transition in neutron stars: a critical study
• Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials
• From Neutron Star Observables to the Equation of State. I. An Optimal Parametrization
• Isoscalar Giant Dipole Resonance and Nuclear Matter Incompressibility Coefficient
• From Neutron Star Observables to the Equation of State. II. Bayesian Inference of Equation of State Pressures
• Thermal properties of supernova matter: The bulk homogeneous phase
• Neutron Star Radius Measurement with the Quiescent Low-Mass X-ray Binary U24 in NGC 6397
• Bounds on the speed of sound in dense matter, and neutron star structure
• Isospin dependence of incompressibility in relativistic and non-relativistic mean field calculations
• Isospin dependence of nucleon effective mass in Dirac Brueckner-Hartree-Fock approach
• Correlations and spectral functions in asymmetric nuclear matter
• Higher-order symmetry energy of nuclear matter and the inner edge of neutron star crusts
• Spectrum of shear modes in the neutron-star crust: Estimating the nuclear-physics uncertainties
• Global properties of the Skyrme-force-induced nuclear symmetry energy
• Constraints on the symmetry energy from observational probes of the neutron star crust
• On the coefficients of the liquid drop model mass formulae and nuclear radii
• In-medium nuclear cluster energies within the Extended Thomas-Fermi approach
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Low densities in asymmetric nuclear matter
• Estimating parameter uncertainty in binding-energy models by the frequency-domain bootstrap
• Excitation of Giant Monopole Resonance in ${}^{208}$Pb and ${}^{116}$Sn Using Inelastic Deuteron Scattering
• Flow and the equation of state of nuclear matter
• EoS constraints from nuclear masses and radii in a meta-modeling approach
• Constraining the nuclear energy density functional with quantum Monte Carlo calculations
• Equation of state of nuclear matter from empirical constraints
• Correlations between bulk parameters in relativistic and nonrelativistic hadronic mean-field models
• Hot and dense matter beyond relativistic mean field theory

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• Thermal Effects in Binary Neutron Star Mergers
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• Rapidly rotating $\Delta$-resonance-admixed hypernuclear compact stars
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• Quarkyonic stars with isospin-flavor asymmetry
• Are nuclear matter properties correlated to neutron star observables ?
• Constraining the neutron-matter equation of state with gravitational waves
• Unveiling the nuclear matter EoS from neutron star properties: a supervised machine learning approach
• EoS for hot neutron stars
• Neutron stars with large quark cores
• Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
• Impact of NICER's Radius Measurement of PSR J0740+6620 on Nuclear Symmetry Energy at Suprasaturation Densities
• Nuclear physics constraints from binary neutron star mergers in the Einstein Telescope era
• On parametrised cold dense matter equation of state inference
• General predictions for the neutron star crustal moment of inertia
• Impact of the neutron-star deformability on equation of state parameters
• The nuclear symmetry energy from neutron skins and pure neutron matter in a Bayesian framework
• Low-energy nuclear physics and global neutron star properties
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Measurement of the nuclear symmetry energy parameters from gravitational wave events
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• Constraints on the curvature of nuclear symmetry energy from recent astronomical data within the KIDS framework
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• Nuclear energy density functionals grounded in ab initio calculations
• GW170817 constraints analyzed with Gogny forces and momentum-dependent interactions
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• Covariant Density Functional Theory with Localized Exchange Terms
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• Bayesian Inference of Fine-Features of Nuclear Equation of State from Future Neutron Star Radius Measurements to 0.1km Accuracy
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• Determining impact parameters of heavy-ion collisions at low-intermediate incident energies using deep learning with convolutional neural network
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• Influence of fast emissions and statistical de-excitation on the isospin transport ratio
• Detectability of a phase transition in neutron star matter with third-generation gravitational wave interferometers
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• Structure of ultra-magnetised neutron stars
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• A Detailed Analysis of the Special Points on $M-R$ Solutions of Hybrid (Twin) Stars
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