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Title: Relativistic Energy Density Functionals: Exotic modes of excitation

Abstract

The framework of relativistic energy density functionals has been applied to the description of a variety of nuclear structure phenomena, not only in spherical and deformed nuclei along the valley of {beta}-stability, but also in exotic systems with extreme isospin values and close to the particle drip-lines. Dynamical aspects of exotic nuclear structure have been investigated with the relativistic quasiparticle random-phase approximation. We present results for the evolution of low-lying dipole (pygmy) strength in neutron-rich nuclei, and charged-current neutrino-nucleus cross sections.

Authors:
; ;  [1]
  1. Physics Department, Faculty of Science, University of Zagreb, 10000 Zagreb (Croatia)
Publication Date:
OSTI Identifier:
21254840
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1072; Journal Issue: 1; Conference: International conference on nuclear physics and astrophysics: From stable beams to exotic nuclei, Cappadocia (Turkey), 25-30 Jun 2008; Other Information: DOI: 10.1063/1.3039867; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHARGED CURRENTS; CROSS SECTIONS; DEFORMED NUCLEI; DIPOLES; ENERGY DENSITY; EXCITATION; FUNCTIONALS; ISOSPIN; NEUTRINOS; NEUTRON-RICH ISOTOPES; NUCLEAR MATTER; NUCLEAR STRUCTURE; RANDOM PHASE APPROXIMATION; RELATIVISTIC RANGE

Citation Formats

Vretenar, D., Paar, N., and Marketin, T.. Relativistic Energy Density Functionals: Exotic modes of excitation. United States: N. p., 2008. Web. doi:10.1063/1.3039867.
Vretenar, D., Paar, N., & Marketin, T.. Relativistic Energy Density Functionals: Exotic modes of excitation. United States. doi:10.1063/1.3039867.
Vretenar, D., Paar, N., and Marketin, T.. 2008. "Relativistic Energy Density Functionals: Exotic modes of excitation". United States. doi:10.1063/1.3039867.
@article{osti_21254840,
title = {Relativistic Energy Density Functionals: Exotic modes of excitation},
author = {Vretenar, D. and Paar, N. and Marketin, T.},
abstractNote = {The framework of relativistic energy density functionals has been applied to the description of a variety of nuclear structure phenomena, not only in spherical and deformed nuclei along the valley of {beta}-stability, but also in exotic systems with extreme isospin values and close to the particle drip-lines. Dynamical aspects of exotic nuclear structure have been investigated with the relativistic quasiparticle random-phase approximation. We present results for the evolution of low-lying dipole (pygmy) strength in neutron-rich nuclei, and charged-current neutrino-nucleus cross sections.},
doi = {10.1063/1.3039867},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1072,
place = {United States},
year = 2008,
month =
}
  • The framework of relativistic energy density functionals is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform configuration mixing of angular-momentum and particle-number projected relativistic wave functions. This approach enables a quantitative description of the evolution of shell-structure, deformation and shape coexistence phenomena in nuclei with soft potential energy surfaces, and singular properties of excitation spectra and transition rates at critical points of quantum shape phase transitions.
  • The empirical relativistic density-dependent, point-coupling energy density functional, adjusted exclusively to experimental binding energies of a large set of deformed nuclei with Aapprox =150-180 and Aapprox =230-250, is tested with spectroscopic data for {sup 166}Er and {sup 240}Pu. Starting from constrained self-consistent triaxial relativistic Hartree-Bogoliubov calculations of binding energy maps as functions of the quadrupole deformation in the beta-gamma plane, excitation spectra and E2 transition probabilities are calculated as solutions of the corresponding microscopic collective Hamiltonian in five dimensions for quadrupole vibrational and rotational degrees of freedom and compared with available data on low-energy collective states.
  • Local approximations, formulated in the context of a relativistic extension of the self-consistent {alpha} method, are advanced for the case of the relativistic exact Coulomb exchange functional--defined as the Dirac-Fock exchange--and for the Breit expression for the transverse photon exchange, given in terms of the expectation value of the Breit operator. The resulting potentials are local (multiplicative) operators, in both cases. Using these new functionals, fully relativistic calculations have been performed for selected atoms with Z between 10 and 94, within the framework of relativistic density functional theory (RDFT). The total and exchange energies and ionization potentials obtained from thesemore » functionals are quite close to those of the relativistic optimized potential method (ROPM). The computational effort involved in the application of this new method is, however, significantly lower.« less
  • We study a particular class of relativistic nuclear energy density functionals in which only nucleon degrees of freedom are explicitly used in the construction of effective interaction terms. Short-distance (high-momentum) correlations, as well as intermediate- and long-range dynamics, are encoded in the medium (nucleon-density) dependence of the strength functionals of an effective interaction Lagrangian. Guided by the density dependence of microscopic nucleon self-energies in nuclear matter, a phenomenological ansatz for the density-dependent coupling functionals is accurately determined in self-consistent mean-field calculations of binding energies of a large set of axially deformed nuclei. The relationship between the nuclear matter volume, surface,more » and symmetry energies and the corresponding predictions for nuclear masses is analyzed in detail. The resulting best-fit parametrization of the nuclear energy density functional is further tested in calculations of properties of spherical and deformed medium-heavy and heavy nuclei, including binding energies, charge radii, deformation parameters, neutron skin thickness, and excitation energies of giant multipole resonances.« less
  • The framework of relativistic nuclear energy density functionals is applied to the description of a variety of nuclear structure phenomena, not only in spherical and deformed nuclei along the valley of beta-stability, but also in exotic systems with extreme isospin values and close to the particle drip-lines. Dynamical aspects of exotic nuclear structure is explored using the fully consistent quasiparticle random-phase approximation based on the relativistic Hartree-Bogoliubov model. Recent applications of energy density functionals with explicit density dependence of the meson-nucleon couplings are presented.