Quantifying the uncertainties on spinodal instability in stellar matter through meta-modeling

Abstract

The influence of the uncertainties of the equation of state empirical parameters on the neutron stars crust-core phase transition is explored within a meta-modeling approach, in which the energy per particle is expanded as a Taylor series in density and asymmetry around the saturation point. The phase transition point is estimated from the intersection of the spinodal instability region for dynamical fluctuations with the chemical equilibrium curve. Special attention is paid to the inclusion of high-order parameters of the Taylor series and their influence on the transition point. An uncorrelated prior distribution is considered for the empirical parameters, with bulk properties constrained through effective field theory predictions, while the surface parameters are controlled from a fit of nuclear masses using the extended Thomas Fermi approximation. The results show that the isovector compressibility $K_{sym}$ and skewness $Q_{sym}$ have the most significant correlations with the transition point, along with the previously observed influence of the $L_{sym}$ parameter. The estimated density and pressure of the crust-core transition are $n_t=(0.071\pm 0.011)f{m}^{-3}$ and $P_t=(0.294\pm 0.102)MeVf{m}^{-3}$.

arXiv comment11 pages, 7 figures

References in corpus (36)

• A unified equation of state of dense matter and neutron star structure
• Equations of state for supernovae and compact stars
• Neutron Star Structure and the Neutron Radius of 208Pb
• Skyrme Interaction and Nuclear Matter Constraints
• Measuring the neutron star equation of state using X-ray timing
• Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
• Pulsar Constraints on Neutron Star Structure and Equation of State
• Models of Pulsar Glitches
• The equation of state for dense nucleonic matter from a metamodeling. I. Foundational aspects
• Nuclear constraints on properties of neutron star crusts
• Core-crust transition in neutron stars: predictivity of density developments
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• The symmetry energy at subnuclear densities and nuclei in neutron star crusts
• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• Incompressibility of neutron-rich matter
• Using Neutron Star Observations to Determine Crust Thicknesses, Moments of Inertia, and Tidal Deformabilities
• Combined Constraints on the Equation of State of Dense Neutron-Rich Matter from Terrestrial Experiments and Observations of Neutron Stars
• Unified treatment of sub-saturation stellar matter at zero and finite temperature
• Unified equation of state for neutron stars on a microscopic basis
• From Brueckner Approach to Skyrme-type Energy Density Functional
• The Nearest Millisecond Pulsar Revisited with XMM-Newton: Improved Mass-Radius Constraints for PSR J0437-4715
• Isospin-dependent clusterization of Neutron-Star Matter
• A survey of the parameter space of the compressible liquid drop model as applied to the neutron star inner crust
• Locating the inner edge of neutron star crust using terrestrial nuclear laboratory data
• Sensitivity of the Moment of Inertia of Neutron Stars to the Equation of State of Neutron-Rich Matter
• 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
• Higher-order symmetry energy and neutron star core-crust transition with Gogny forces
• Higher-order symmetry energy of nuclear matter and the inner edge of neutron star crusts
• The cooling of the Cassiopeia A neutron star as a probe of the nuclear symmetry energy and nuclear pasta
• In-medium nuclear cluster energies within the Extended Thomas-Fermi approach
• Structures of the Vela pulsar and the glitch crisis from the Brueckner theory
• Breathing-mode measurements in Sn isotopes and isospin dependence of nuclear incompressibility
• EoS constraints from nuclear masses and radii in a meta-modeling approach
• Correlation of the neutron star crust-core properties with the slope of the symmetry energy and the lead skin thickness
• Exact versus Taylor-expanded energy density in the study of the neutron star crust-core transition

Cited by in corpus (11)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Curvature-slope correlation of nuclear symmetry energy and its imprints on the crust-core transition, radius and tidal deformability of canonical neutron stars
• Impact of NICER's Radius Measurement of PSR J0740+6620 on Nuclear Symmetry Energy at Suprasaturation Densities
• Low-energy nuclear physics and global neutron star properties
• Bayesian inference of the incompressibility, skewness and kurtosis of nuclear matter from empirical pressures in relativistic heavy-ion collisions
• Prior probability distributions of neutron star crust models
• A Bayesian analysis of the properties of hybrid stars with the NJL model
• Structure of ultra-magnetised neutron stars
• Auxiliary Function Approach for Determining Symmetry Energy at Supra-saturation Densities
• Bayesian inference of neutron star crust properties using an ab initio-benchmarked meta-model
• Bayesian Inference of Hybrid Star Properties from Future High-Precision Measurements of Their Radii