Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties

TL;DR

This paper reviews the development of nuclear energy density functionals, especially Skyrme-type, and analyzes how giant resonance energies are sensitive to bulk nuclear matter properties, aiding in constraining these properties.

Contribution

It introduces a method for fitting Skyrme EDF parameters and systematically studies the sensitivity of giant resonance energies to nuclear matter properties.

Findings

Centroid energies of giant resonances are sensitive to nuclear matter properties.

Constraints on nuclear matter properties like incompressibility and effective mass are derived.

Results are based on calculations for a wide range of spherical nuclei using 33 EDFs.

Abstract

The development of a modern and more realistic nuclear energy density functional (EDF) for accurate predictions of properties of nuclei is the subject of enhanced activity, since it is very important for the study of properties of nuclear matter (NM), giant resonances and, in particular, of properties of rare nuclei with unusual neutron-to-proton ratios. Here, we provide a short review of the current status of the nuclear EDF and the theoretical results obtained for properties of nuclei and nuclear matter. We will first describe a method for determining the parameters of the EDF, associated with the Skyrme type effective interaction, by carrying out a Hartree-Fock based fit to extensive set of data of ground state properties and constraints. We will then describe the fully self-consistent Hartree-Fock based random-phase-approximation theory for calculating the strength functions S(E) and centroid energies E_CEN of giant resonances and provide results for E_CEN of isoscalar and isovector giant resonances of multipolarities L=0-3 for a wide range of spherical nuclei, using 33 EDFs associated with standard form of the Skyrme type interactions, commonly employed in the literature. We investigate the sensitivities E_CEN of the giant resonances to bulk properties of NM and determine constraints on NM properties, such as the incompressibility coefficient and effective mass, by comparing with experimental data on E_CEN of giant resonances.