Constraints on Skyrme Equations of State from Doubly Magic Nuclei, Ab-Initio Calculations of Low-Density Neutron Matter, and Neutron Stars

Abstract

We use properties of doubly-magic nuclei, ab-initio calculations of low-density neutron matter, and of neutron stars to constrain the parameters of the Skyrme energy-density functional. We find all of these properties can be reproduced within a constrained family of Skyrme parameters. The maximum mass of a neutron star is found to be sensitive to the neutron effective mass. A value of [$m_{\mathrm{n}}^{\ast }/m]({\rho }_0)=0.60-0.65$ is required to obtain a maximum neutron star mass of 2.1 solar masses. Using the constrained Skyrme functional with the aforementioned effective mass, the predicted radius for a neutron star of 1.4 solar masses is 12.4(1) km and $\Lambda$ = 423(40).

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• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Towards mitigation of apparent tension between nuclear physics and astrophysical observations by improved modeling of neutron star matter
• Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
• Constraining the density dependence of the symmetry energy with nuclear data and astronomical observations in the KIDS framework
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Unveiling the correlations of tidal deformability with the nuclear symmetry energy parameters
• Neutron-skin values and matter and neutron radii determined from reaction cross sections of proton scattering on ${}^{12}$C, ${}^{40,48}$Ca, ${}^{58}$Ni, ${}^{208}$Pb
• Unraveling the global behavior of equation of state by explicit finite nuclei constraints