skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

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. 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 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-consistently in HF-based RPA; (iii) FM-DWBA calculation of excitation cross section; (iv) values of themore » ECEN 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 ECEN 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 ECEN of giant resonances.« less

Authors:
 [1];  [2]
  1. Texas A & M Univ., College Station, TX (United States)
  2. National Academy of Sciences of Ukraine (NASU), Kiev (Ukraine)
Publication Date:
Research Org.:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1779830
Grant/Contract Number:  
FG02-93ER40773
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Yaderna Fyizika ta Energetika
Additional Journal Information:
Journal Volume: 21; Journal Issue: 2; Journal ID: ISSN 1818-331X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; energy density functional; giant resonance; nuclear matter; strength function; random-phase-approximation

Citation Formats

Shlomo, S., and Sanzhur, A. I. Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties. United States: N. p., 2020. Web. doi:10.15407/jnpae2020.02.113.
Shlomo, S., & Sanzhur, A. I. Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties. United States. https://doi.org/10.15407/jnpae2020.02.113
Shlomo, S., and Sanzhur, A. I. 2020. "Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties". United States. https://doi.org/10.15407/jnpae2020.02.113. https://www.osti.gov/servlets/purl/1779830.
@article{osti_1779830,
title = {Energy density functional and sensitivity of energies of giant resonances to bulk nuclear matter properties},
author = {Shlomo, S. and Sanzhur, A. I.},
abstractNote = {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 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-consistently 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 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 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.},
doi = {10.15407/jnpae2020.02.113},
url = {https://www.osti.gov/biblio/1779830}, journal = {Yaderna Fyizika ta Energetika},
issn = {1818-331X},
number = 2,
volume = 21,
place = {United States},
year = {2020},
month = {9}
}

Works referenced in this record:

Equation of state from nuclear and astrophysical evidence
journal, June 1988


Neutron star observations: Prognosis for equation of state constraints
journal, April 2007


Nuclear matter compressibility from isoscalar giant monopole resonance
journal, February 1993


Modern energy density functional and the current status of the equation of state of nuclear matter
conference, January 2012

  • Shlomo, S.
  • EXOTIC NUCLEI AND NUCLEAR/PARTICLE ASTROPHYSICS (IV). FROM NUCLEI TO STARS: Carpathian Summer School of Physics 2012, AIP Conference Proceedings
  • https://doi.org/10.1063/1.4768486

Giant resonances in Ca 40 , 48 ,   Ni 68 ,   Zr 90 ,   Sn 116 ,   Sm 144 , and Pb 208
journal, November 2018


Self-consistent mean-field models for nuclear structure
journal, January 2003


Time-dependent density-functional description of nuclear dynamics
journal, November 2016


Nuclear equation of state from ground and collective excited state properties of nuclei
journal, July 2018


Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei
journal, March 1972


CVII. The nuclear surface
journal, November 1956


The effective nuclear potential
journal, January 1958


Skyrme interaction and nuclear matter constraints
journal, March 2012


A Skyrme parametrization from subnuclear to neutron star densities
journal, December 1997


A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998


Nuclear response in the continuum
journal, May 1975


Self-consistent Hartree-Fock based random phase approximation and the spurious state mixing
journal, March 2003


Isoscalar giant dipole resonance and nuclear matter incompressibility coefficient
journal, March 2002


From sum rules to RPA: 1. Nuclei
journal, January 1992


Isoscalar giant monopole resonance and its overtone in microscopic and macroscopic models
journal, December 2003


Critical densities for the Skyrme type effective interactions
journal, November 2004


Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force
journal, September 1982


Nuclear Coulomb energies
journal, July 1978


Coulomb energies and charge asymmetry of nuclear forces
journal, November 1972


Charge symmetry breaking interactions and coulomb energy differences
journal, December 1975


Core Polarization and Coulomb Displacement Energies
journal, October 1982


Isoscalar E 0 , E 1 , E 2 , and E 3 strength in Mo 94
journal, September 2016


Spin-isospin and pairing properties of modified Skyrme interactions
journal, November 1981


Skyrme-Landau parameterization of effective interactions (I). Hartree-Fock ground states
journal, November 1991


Skyrme-Landau parameterization of effective interactions
journal, November 1991


Monopole and dipole compression modes in nuclei
journal, November 1981


Isoscalar E 0 E 3 strength in Sn 116 , Sm 144 , Sm 154 , and Pb 208
journal, March 2004


New parametrization for the Lagrangian density of relativistic mean field theory
journal, January 1997


Nuclear matter incompressibility coefficient in relativistic and nonrelativistic microscopic models
journal, September 2003


Compression mode resonances in Zr 90
journal, May 2004


Nuclear effective forces and isotope shifts
journal, February 1995


Variations on a theme by Skyrme: A systematic study of adjustments of model parameters
journal, March 2009


Self-Consistent Calculations of the Electric Giant Dipole Resonances in Light and Heavy Nuclei
journal, August 2012


Charge distributions of Pb 208 , Pb 206 , and Tl 205 and the mean-field approximation
journal, December 1989


Shape coexistence and the effective nucleon-nucleon interaction
journal, June 1999


From Brueckner approach to Skyrme-type energy density functional
journal, January 2006


Density slope of the nuclear symmetry energy from the neutron skin thickness of heavy nuclei
journal, August 2010


Isospin asymmetry in nuclei and neutron stars
journal, June 2005


Physical origin of density dependent forces of Skyrme type within the quark meson coupling model
journal, June 2006


Static nuclear properties and the parametrisation of Skyrme forces
journal, May 1984


Neutron skin deduced from antiprotonic atom data
journal, September 2007


Skyrme-force parametrization: Least-squares fit to nuclear ground-state properties
journal, January 1986


Collective models of giant states with density-dependent interactions
journal, September 1975