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

Shlomo, S.; Sanzhur, A. I.

doi:10.15407/jnpae2020.02.113

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

Journal Article · Thu Sep 03 00:00:00 EDT 2020 · Aderna Fizika ta Energetika

DOI:https://doi.org/10.15407/jnpae2020.02.113· OSTI ID:1779830

Shlomo, S. ^[1]; Sanzhur, A. I. ^[2]

Texas A & M Univ., College Station, TX (United States)
National Academy of Sciences of Ukraine (NASU), Kiev (Ukraine)

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. Next we will describe the fully self-consistent Hartree-Fock (HF) based random-phase-approximation (RPA) theory for calculating the strength functions S(E) and centroid energies E_CEN of giant resonances and the folding model (FM) distorted wave Вorn approximation (DWBA) to calculate the excitation cross section of giant resonances by α scattering. Then we will provide results for: (i) the Skyrme parameters of the KDE0v1 EDF; (ii) consequences of violation of self-consistently in HF-based RPA; (iii) FM-DWBA calculation of excitation cross section; (iv) values of the 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; and (v) the sensitivities E_CEN of the giant resonances to bulk properties of NM. We also determine constraints on NM properties, such as the incompressibility coefficient and effective mass, by comparing with experimental data on E_CEN of giant resonances.

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Research Organization:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-93ER40773

OSTI ID:: 1779830

Journal Information:: Aderna Fizika ta Energetika, Vol. 21, Issue 2; ISSN 1818-331X

Publisher:: Institute for Nuclear Research of NAS UkraineCopyright Statement

Country of Publication:: United States

Language:: English

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