Nuclear Equation of State from ground and collective excited state properties of nuclei

Abstract

This contribution reviews the present status on the available constraints to the nuclear equation of state (EoS) around saturation density from nuclear structure calculations on ground and collective excited state properties of atomic nuclei. It concentrates on predictions based on self-consistent mean-field calculations, which can be considered as an approximate realization of an exact energy density functional (EDF). EDFs are derived from effective interactions commonly fitted to nuclear masses, charge radii and, in many cases, also to pseudo-data such as nuclear matter properties. Although in a model dependent way, EDFs constitute nowadays a unique tool to reliably and consistently access bulk ground state and collective excited state properties of atomic nuclei along the nuclear chart as well as the EoS. For comparison, some emphasis is also given to the results obtained with the so called {\it ab initio} approaches that aim at describing the nuclear EoS based on interactions fitted to few-body data only. Bridging the existent gap between these two frameworks will be essential since it may allow to improve our understanding on the diverse phenomenology observed in nuclei. Examples on observations from astrophysical objects and processes sensitive to the nuclear EoS are also briefly discussed. As the main conclusion, the isospin dependence of the nuclear EoS around saturation density and, to a lesser extent, the nuclear matter incompressibility remain to be accurately determined. Experimental and theoretical efforts in finding and measuring observables specially sensitive to the EoS properties are of paramount importance, not only for low-energy nuclear physics but also for nuclear astrophysics applications.

arXiv commentProgress in Particle and Nuclear Physics (accepted)

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• Current Developments in Nuclear Density Functional Methods
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• Finding signatures of the nuclear symmetry energy in heavy-ion collisions with deep learning
• Universal relation between dipole polarizability of finite nuclei and neutron-star compactness
• Measurement of the isoscalar giant monopole resonance in ${}^{86}$Kr via deuteron inelastic scattering using an active target CAT-M
• Evidence against nuclear polarization as source of fine-structure anomalies in muonic atoms
• Impact of octupole deformation on the nuclear electromagnetic response
• Recent applications of the subtracted second RPA method
• Harmonic potential theorem: \\extension to spin-, velocity- and density-dependent interactions
• Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin-Orbit Splittings
• Bulk and spectroscopic nuclear properties within an ab initio renormalized random-phase approximation framework
• Proton fraction in neutron star matter: Dynamical mean-field approach