Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties
We provide a short review of the current status of the nuclear energy density functional (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 intera...
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2020-06-01
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| Series: | Ядерна фізика та енергетика |
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| Online Access: | http://jnpae.kinr.kiev.ua/21.2/Articles_PDF/jnpae-2020-21-0113-Shlomo.pdf |
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| author | S. Shlomo A. I. Sanzhur |
| author_facet | S. Shlomo A. I. Sanzhur |
| author_sort | S. Shlomo |
| collection | DOAJ |
| description | We provide a short review of the current status of the nuclear energy density functional (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 (HF)-based fit to the extensive set of data of ground-state properties and constraints. Next, we will describe the fully self-consistent HF-based random-phase-approximation (RPA) theory for calculating the strength functions S(E) and centroid energies ECEN 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-consistency in HF-based RPA; (iii) FM-DWBA calculation of excitation cross-section; (iv) values of the ECEN of isoscalar and isovector giant resonances of multipolarities L = 0 – 3 for a wide range of spherical nuclei, using 33 EDFs associated with the standard form of the Skyrme type interactions, commonly employed in the literature; and (v) the sensitivities ECEN of the giant resonances to bulk properties of nuclear matter (NM). We also determine constraints on NM properties, such as the incompressibility coefficient and effective mass, by comparing with experimental data on ECEN of giant resonances. |
| format | Article |
| id | doaj-art-59cb15485f124710ba5abbe87aa9fdf0 |
| institution | DOAJ |
| issn | 1818-331X 2074-0565 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
| record_format | Article |
| series | Ядерна фізика та енергетика |
| spelling | doaj-art-59cb15485f124710ba5abbe87aa9fdf02025-08-20T03:19:25ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652020-06-01212113128https://doi.org/10.15407/jnpae2020.02.113Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter propertiesS. Shlomo0A. I. Sanzhur1Cyclotron Institute, Texas A&M University, College Station, USAInstitute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, UkraineWe provide a short review of the current status of the nuclear energy density functional (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 (HF)-based fit to the extensive set of data of ground-state properties and constraints. Next, we will describe the fully self-consistent HF-based random-phase-approximation (RPA) theory for calculating the strength functions S(E) and centroid energies ECEN 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-consistency in HF-based RPA; (iii) FM-DWBA calculation of excitation cross-section; (iv) values of the ECEN of isoscalar and isovector giant resonances of multipolarities L = 0 – 3 for a wide range of spherical nuclei, using 33 EDFs associated with the standard form of the Skyrme type interactions, commonly employed in the literature; and (v) the sensitivities ECEN of the giant resonances to bulk properties of nuclear matter (NM). We also determine constraints on NM properties, such as the incompressibility coefficient and effective mass, by comparing with experimental data on ECEN of giant resonances.http://jnpae.kinr.kiev.ua/21.2/Articles_PDF/jnpae-2020-21-0113-Shlomo.pdfenergy density functionalgiant resonancenuclear matterstrength functionrandom-phase-approximation. |
| spellingShingle | S. Shlomo A. I. Sanzhur Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties Ядерна фізика та енергетика energy density functional giant resonance nuclear matter strength function random-phase-approximation. |
| title | Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties |
| title_full | Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties |
| title_fullStr | Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties |
| title_full_unstemmed | Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties |
| title_short | Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties |
| title_sort | energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties |
| topic | energy density functional giant resonance nuclear matter strength function random-phase-approximation. |
| url | http://jnpae.kinr.kiev.ua/21.2/Articles_PDF/jnpae-2020-21-0113-Shlomo.pdf |
| work_keys_str_mv | AT sshlomo energydensityfunctionalandsensitivityofenergiesofgiantresonancestobulknuclearmatterproperties AT aisanzhur energydensityfunctionalandsensitivityofenergiesofgiantresonancestobulknuclearmatterproperties |