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

Title: From Brueckner approach to Skyrme-type energy density functional

Abstract

A Skyrme-like effective interaction is built up from the equation of state of nuclear matter. The latter is calculated in the framework of the Brueckner-Hartree-Fock approximation with two- and three-body forces. A complete Skyrme parametrization requires a fit of the neutron and proton effective masses and the Landau parameters. The new parametrization is probed on the properties of a set of closed-shell and closed-subshell nuclei, including binding energies and charge radii.

Authors:
 [1];  [1];  [2];  [3];  [4]
  1. Laboratori Nazionali del Sud, INFN, Via Santa Sofia 44, I-95123 Catania (Italy)
  2. (Italy)
  3. School of Science, Huzhou Teachers College, No. 1 Xueshi Road, Huzhou 313000 (China)
  4. Institut de Physique Nucleaire, Universite Paris Sud, F-91406 Orsay CEDEX (France)
Publication Date:
OSTI Identifier:
20771191
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.73.014313; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BINDING ENERGY; EFFECTIVE MASS; ENERGY DENSITY; EQUATIONS OF STATE; HARTREE-FOCK METHOD; NEUTRONS; NUCLEAR FORCES; NUCLEAR MATTER; NUCLEI; PROTONS; SKYRME POTENTIAL; THREE-BODY PROBLEM

Citation Formats

Cao, L.G., Lombardo, U., Dipartimento di Fisica dell'Universita, Viale Andrea Doria 6, I-95123 Catania, Shen, C.W., and Nguyen Van Giai. From Brueckner approach to Skyrme-type energy density functional. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.014313.
Cao, L.G., Lombardo, U., Dipartimento di Fisica dell'Universita, Viale Andrea Doria 6, I-95123 Catania, Shen, C.W., & Nguyen Van Giai. From Brueckner approach to Skyrme-type energy density functional. United States. doi:10.1103/PhysRevC.73.014313.
Cao, L.G., Lombardo, U., Dipartimento di Fisica dell'Universita, Viale Andrea Doria 6, I-95123 Catania, Shen, C.W., and Nguyen Van Giai. Sun . "From Brueckner approach to Skyrme-type energy density functional". United States. doi:10.1103/PhysRevC.73.014313.
@article{osti_20771191,
title = {From Brueckner approach to Skyrme-type energy density functional},
author = {Cao, L.G. and Lombardo, U. and Dipartimento di Fisica dell'Universita, Viale Andrea Doria 6, I-95123 Catania and Shen, C.W. and Nguyen Van Giai},
abstractNote = {A Skyrme-like effective interaction is built up from the equation of state of nuclear matter. The latter is calculated in the framework of the Brueckner-Hartree-Fock approximation with two- and three-body forces. A complete Skyrme parametrization requires a fit of the neutron and proton effective masses and the Landau parameters. The new parametrization is probed on the properties of a set of closed-shell and closed-subshell nuclei, including binding energies and charge radii.},
doi = {10.1103/PhysRevC.73.014313},
journal = {Physical Review. C, Nuclear Physics},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
  • We study systematically the impact of the time-even tensor terms of the Skyrme energy density functional, i.e., terms bilinear in the spin-current tensor density, on deformation properties of closed-shell nuclei corresponding to 20, 28, 40, 50, 82, and 126 neutron or proton shell closures. We compare results obtained with three different families of Skyrme parameterizations whose tensor terms have been adjusted on properties of spherical nuclei(i)TIJ interactions proposed in the first paper of this series [T. Lesinski et al., Phys. Rev. C 76, 014312 (2007)] which were constructed through a complete readjustment of the rest of the functional (ii) parameterizationsmore » whose tensor terms have been added perturbatively to existing Skyrme interactions, with or without readjusting the spin-orbit coupling constant. We analyze in detail the mechanisms at play behind the impact of tensor terms on deformation properties and how studying the latter can help screen out unrealistic parameterizations. It is expected that findings of the present paper are, to a large extent, independent of remaining deficiencies of the central and spin-orbit interactions, and will be of great value for the construction of future improved energy functionals.« less
  • The Skyrme energy-density functional approach has been extended to study massive heavy-ion fusion reactions. Based on the potential barrier obtained and the parametrized barrier distribution the fusion (capture) excitation functions of a lot of heavy-ion fusion reactions are studied systematically. The average deviations of fusion cross sections at energies near and above the barriers from experimental data are less than 0.05 for 92% of 76 fusion reactions with Z{sub 1}Z{sub 2}<1200. For the massive fusion reactions, for example, the {sup 238}U-induced reactions and {sup 48}Ca+{sup 208}Pb, the capture excitation functions have been reproduced remarkably well. The influence of structure effectsmore » in the reaction partners on the capture cross sections is studied with our parametrized barrier distribution. By comparing the reactions induced by double-magic nucleus {sup 48}Ca and by {sup 32}S and {sup 35}Cl, the ''threshold-like'' behavior in the capture excitation function for {sup 48}Ca-induced reactions is explored and an optimal balance between the capture cross section and the excitation energy of the compound nucleus is studied. Finally, the fusion reactions with {sup 36}S, {sup 37}Cl, {sup 48}Ca, and {sup 50}Ti bombarding {sup 248}Cm, {sup 247,249}Bk, {sup 250,252,254}Cf, and {sup 252,254}Es, as well as the reactions leading to the same compound nucleus with Z=120 and N=182, are studied further. The calculation results for these reactions are useful for searching for the optimal fusion configuration and suitable incident energy in the synthesis of superheavy nuclei.« less
  • In the present work, we take the nonrelativistic limit of relativistic models and compare the obtained functionals with the usual Skyrme parametrization. Relativistic models with both constant couplings and with density-dependent couplings are considered. While some models already present very good results at the lowest order in the density, models with nonlinear terms only reproduce the energy functional if higher order terms are taken into account in the expansion.
  • The problem of the effective mass scaling in the single-particle (s.p.) spectra calculated within the Skyrme energy density functional (EDF) method is studied. It is demonstrated that for specific pairs of orbitals like 1d{sub 3/2}-1f{sub 7/2} the commonly anticipated isoscalar effective mass (m*) scaling of the s.p. level splittings is almost canceled by an implicit m* scaling present in the two-body spin-orbit (SO) strength. On the other hand, the {nu}f{sub 7/2}-{nu}f{sub 5/2} SO splitting depends solely on the SO strength. Hence, two conflicting scaling properties appear to be at work in standard Skyrme EDF, making the theory internally inconsistent withmore » respect to s.p. energies. It is argued that this unphysical property is, to a large extent, a consequence of the strategies and data sets used to fit these functionals. The inclusion of certain s.p. spin-orbit splittings to fit the two-body spin-orbit and the tensor interaction strengths reinstates the conventional m* scaling and improves the performance of the Skyrme EDF.« less