Pure Neutron Matter Constraints and Nuclear Symmetry Energy

Abstract

In this review, we will discuss the results of our recent work to study the general optimization of the pure isovector parameters of the popular relativistic mean-field (RMF) and Skyrme-Hartree-Fock (SHF) nuclear energy-density functionals (EDFs), using constraints on the pure neutron matter (PNM) equation of state (EoS) from recent {\sl ab initio} calculations. By using RMF and SHF parameterizations that give equivalent predictions for ground-state properties of doubly magic nuclei and properties of symmetric nuclear matter (SNM) and PNM, we found that such optimization leads to broadly consistent symmetry energy $J$ and its slope parameter $L$ at saturation density within a tight range of $\sigma (J)<2$ MeV and $\sigma (L)<6$ MeV. We demonstrate that a clear model dependence shows up (a) in the curvature parameter of the symmetry energy $K_{\mathrm{sym}}$, (b) the symmetry energy at supra-saturation densities, and (c) the radius of neutron stars.

Talk given at the 11th International Conference on Nucleus-Nucleus Collisions (NN2012), San Antonio, Texas, USA, May 27-June 1, 2012. To appear in the NN2012 Proceedings in Journal of Physics: Conference Series (JPCS)

References in corpus (9)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Neutron-Rich Nuclei in Heaven and Earth
• Constraints on neutron star radii based on chiral effective field theory interactions
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Neutron skins and neutron stars
• Generic Constraints on the Relativistic Mean-Field and Skyrme-Hartree-Fock Models from the Pure Neutron Matter Equation of State