Equation of state of nuclear matter from empirical constraints

Abstract

From empirically determined values of some of the characteristic constants associated with homogeneous nuclear matter at saturation and sub-saturation densities, within the framework of a Skyrme-inspired energy density functional, we construct an equation of state (EoS) of nuclear matter.This EoS is then used to predict values of density slope parameters of symmetry energy $L(\rho )$, isoscalar incompressibility $K(\rho )$ and a few related quantities. The close consonance of our predicted values with the currently available ones for the density dependence of symmetry energy and incompressibility gleaned from diverse approaches offers the possibility that our method may help in settling their values in tighter bounds. Extrapolation of our EoS at supranormal densities shows that it is in good harmony with the one extracted from experimental data.

arXiv comment8 pages including 4 figures, Phys. Rev. C (accepted)

References in corpus (47)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Determination of the Equation of State of Dense Matter
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Isospin Asymmetry in Nuclei and Neutron Stars
• Theory of Core-Collapse Supernovae
• Recent Progress in Quantum Hadrodynamics
• 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
• Constraining the Symmetry Parameters of the Nuclear Interaction
• Hyperons and massive neutron stars: vector repulsion and SU(3) symmetry
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Kaon production in heavy ion reactions at intermediate energies
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• The neutron radii of Lead and neutron stars
• Determination of the parameters of a Skyrme type effective interaction using the simulated annealing approach
• 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
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Measurement of the Radius of Neutron Stars with High S/N Quiescent Low-mass X-ray Binaries in Globular Clusters
• Neutron skin of ${}^{208}$Pb from Coherent Pion Photoproduction
• Core-crust transition in neutron stars: predictivity of density developments
• Neutron and Proton Transverse Emission Ratio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• Incompressibility of neutron-rich matter
• Constraining the nuclear equation of state at subsaturation densities
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• Proto-Neutron Star Cooling with Convection: The Effect of the Symmetry Energy
• Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei
• Do we understand the incompressibility of neutron-rich matter?
• Symmetry energy from the nuclear collective motion: constraints from dipole, quadrupole, monopole and spin-dipole resonances
• Density Dependence of the Symmetry energy and the Equation of State of Isospin Asymmetric Nuclear Matter
• Equation of state and magnetic susceptibility of spin polarized isospin asymmetric nuclear matter
• Determining the density content of symmetry energy and neutron skin: an empirical approach
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Has a thick neutron skin in ${}^{208}$Pb been ruled out?
• Thermal properties of supernova matter: The bulk homogeneous phase
• Density dependence of nuclear symmetry energy constrained by mean-field calculations
• Probing nuclear symmetry energy at high densities using pion, kaon, eta and photon productions in heavy-ion collisions
• Density-dependent symmetry energy at subsaturation densities from nuclear mass differences
• Breathing-mode measurements in Sn isotopes and isospin dependence of nuclear incompressibility
• Constraining the density dependence of symmetry energy from nuclear masses
• Skyrme forces with extended density dependence

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• Impact of the neutron matter equation of state on neutron skin and neutron drip lines in chiral effective field theory
• Investigation of constraints on few-neutron forces in neutron matter by empirical information on the neutron skin of 48Ca and 208Pb
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