Parametrization of the surface energy in the ETF approximation
arXiv:2010.01227 · doi:10.1088/1361-6471/abb44b
Abstract
We perform extended Thomas-Fermi calculations in the Wigner-Seitz cell below and above neutron drip with realistic functionals. The resulting energy density is decomposed as a sum of bulk terms and a surface term, and a compressible liquid drop analytical formula is used to fit the surface tension. The effect of curvature terms and neutron skin is studied in detail. A very good reproduction of the microscopic data is obtained using an expression that depends only on the mass and charge of the cluster, showing that the in-medium modifications of the nuclear energy in the presence of an external neutron gas can be effectively accounted for in the isospin dependence of the surface tension. In this first application, aimed at establishing the fitting protocol, we concentrate on the Sly4 energy functional, but the study can be easily generalized to different functionals, and the resulting parametrizations can be used for direct applications in pasta calculations in neutron star crusts and supernova matter.
arXiv comment44 pages, 17 figures, 5 tables
References in corpus (33)
- A unified equation of state of dense matter and neutron star structure
- Equations of state for supernovae and compact stars
- Relativistic Equation of State of Nuclear Matter for Supernova and Neutron Star
- Neutron star radii and crusts: uncertainties and unified equations of state
- Analytical representations of unified equations of state for neutron-star matter
- Symmetry Energy I: Semi-Infinite Matter
- Inner crust of neutron stars with mass-fitted Skyrme functionals
- Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
- Neutron star tidal deformabilities constrained by nuclear theory and experiment
- Nuclear pasta structures and the charge screening effect
- The equation of state for dense nucleonic matter from a meta-modeling. II. Predictions for neutron stars properties
- Unified equation of state for neutron stars on a microscopic basis
- A survey of the parameter space of the compressible liquid drop model as applied to the neutron star inner crust
- Surface Symmetry Energy of Nuclear Energy Density Functionals
- Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817
- Semi-classical equation of state and specific heats for neutron-star inner crust with proton shell corrections
- Warm pasta phase in the Thomas-Fermi approximation
- Bayesian analysis of the crust-core transition with a compressible liquid-drop model
- Asymmetric semi-infinite nuclear matter: surface and curvature properties in relativistic and non-relativistic models
- Unified equations of state for cold non-accreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semi-classical approximation
- Crystallization of the inner crust of a neutron star and the influence of shell effects
- Model dependence of the neutron-skin thickness on the symmetry energy
- Densities and energies of nuclei in dilute matter
- General predictions for the neutron star crustal moment of inertia
- Predicting the moment of inertia of pulsar J0737-3039A from Bayesian modeling of the nuclear equation of state
- Nuclear Statistical Equilibrium Equation of State for Core Collapse
- Symmetry and Surface Symmetry Energies in Finite Nuclei
- In-medium nuclear cluster energies within the Extended Thomas-Fermi approach
- EoS constraints from nuclear masses and radii in a meta-modeling approach
- Temperature dependence of volume and surface symmetry energy coefficients of nucle
- Nuclear skin and the curvature of the symmetry energy
- Pasta fluctuations in symmetric matter at finite temperature
- Analytical mass formula and nuclear surface properties in the ETF approximation
Cited by in corpus (6)
- Uncertainties in the pasta-phase properties of catalysed neutron stars
- Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
- The effect of the energy functional on the pasta-phase properties of catalysed neutron stars
- Prior probability distributions of neutron star crust models
- Statistical treatment of nuclear clusters in the continuum
- Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas-Fermi Approaches