A new statistical method for the structure of the inner crust of neutron stars

Abstract

We investigated the structure of the low density regions of the inner crust of neutron stars using the Hartree-Fock-Bogoliubov (HFB) model to predict the proton content $Z$ of the nuclear clusters and, together with the lattice spacing, the proton content of the crust as a function of the total baryonic density ${\rho }_b$. The exploration of the energy surface in the $(Z,{\rho }_b)$ configuration space and the search for the local minima require thousands of calculations. Each of them implies an HFB calculation in a box with a large number of particles, thus making the whole process very demanding. In this work, we apply a statistical model based on a Gaussian Process Emulator that makes the exploration of the energy surface ten times faster. We also present a novel treatment of the HFB equations that leads to an uncertainty on the total energy of $\approx 4$ keV per particle. Such a high precision is necessary to distinguish neighbour configurations around the energy minima.

References in corpus (60)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• The Physics of Neutron Stars
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Neutron Star Cooling
• Physics of Neutron Star Crusts
• The NANOGrav Nine-year Data Set: Mass and Geometric Measurements of Binary Millisecond Pulsars
• The Parkes Multibeam Pulsar Survey: I. Observing and Data Analysis Systems, Discovery and Timing of 100 Pulsars
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Determination of the stiffness of the nuclear symmetry energy from isospin diffusion
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Do hyperons exist in the interior of neutron stars ?
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• Nuclear Mass Predictions for the Crustal Composition of Neutron Stars: A Bayesian Neural Network Approach
• Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids
• Observational constraints on hyperons in neutron stars
• Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
• Inner crust of neutron stars with mass-fitted Skyrme functionals
• Nuclear pasta structures and the charge screening effect
• Renormalization of the Hartree-Fock-Bogoliubov Equations in the Case of a Zero Range Pairing Interaction
• Hyperon-hyperon interactions and properties of neutron matter
• Kaon Condensation and Dynamical Nucleons in 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
• The Ultimate Energy Density of Observable Cold Matter
• Band structure effects for dripped neutrons in neutron star crust
• Microscopic nuclear equation of state with three-body forces and neutron star structure
• Microscopic Nuclear Equation of State with Three-Body Forces and Neutron Star Structure
• Inner edge of neutron-star crust with SLy effective nucleon-nucleon interactions
• Equation of state and thickness of the inner crust of neutron stars
• Effective density dependent pairing forces in the T=1 and T=0 channels
• Impact of the symmetry energy on the outer crust of non-accreting neutron stars
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Twist-averaged boundary conditions for nuclear pasta Hartree-Fock calculations
• Semi-classical equation of state and specific heats for neutron-star inner crust with proton shell corrections
• On the validity of the Wigner-Seitz approximation in neutron star crust
• The neutron star inner crust and symmetry energy
• Propagation of uncertainties in the Skyrme energy-density-functional model
• Nuclear matter in the crust of neutron stars
• Neutron drip transition in accreting and nonaccreting neutron star crusts
• Cluster formation in compact stars: relativistic versus Skyrme models
• Role of the boundary conditions in the Wigner-Seitz approximation applied to the neutron star inner crust
• Error analysis of nuclear mass fits
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• The cluster structure of the inner crust of neutron stars in the Hartree-Fock-Bogoliubov approach
• Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
• Electron screening in the liquid-gas mixed phases of nuclear matter
• In-medium nuclear cluster energies within the Extended Thomas-Fermi approach
• On the superfluid properties of the inner crust of neutron stars
• Coordinate-Space Solver for Superfluid Many-Fermion Systems with Shifted Conjugate Orthogonal Conjugate Gradient Method
• Partial-wave contributions to pairing in nuclei
• Effect of Coulomb Screening Length on Nuclear Pasta Simulations
• Extended Skyrme Equation of State in asymmetric nuclear matter
• Superfluid properties of the inner crust of neutron stars. II. Wigner-Seitz cells at finite temperature
• Uncertainty propagation within the UNEDF models
• Pairing properties and specific heat of the inner crust of a neutron star
• Order-of-magnitude physics of neutron stars
• Equation of state in the inner crust of neutron stars: discusion of the unbound neutron states

Cited by in corpus (15)

• Superfluidity in nuclear systems and neutron stars
• Phases of dense matter in compact stars
• Nuclear Physics of the Outer Layers of Accreting Neutron Stars
• Impact of statistical uncertainties on the composition of the outer crust of a neutron star
• Self-consistent band calculation of slab phase in neutron-star crust
• Analytical determination of the structure and nuclear abundances of the outer crust of a cold nonaccreted neutron star
• Comparison between the Thomas-Fermi and Hartree-Fock-Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations
• Systematic analysis of inner crust composition using the extended Thomas-Fermi approximation with pairing correlations
• Building Surrogate Models of Nuclear Density Functional Theory with Gaussian Processesand Autoencoders
• The proto-neutron star inner crust in the liquid phase
• Time-dependent nuclear energy-density functional theory toolkit for neutron star crust: Dynamics of a nucleus in a neutron superfluid
• Role of neutron pairing with density-gradient dependence in the semi-microscopic treatment of the inner crust of neutron stars
• How accurately can the Extended Thomas-Fermi method describe the inner crust of a neutron star?
• Pressure and chemical potentials in the inner crust of a cold neutron star within Hartree-Fock and extended Thomas-Fermi methods
• Impact of error analysis on the composition the outer crust of a neutron star