Collective multipole excitations in a microscopic relativistic approach

Abstract

A relativistic mean field description of collective excitations of atomic nuclei is studied in the framework of a fully self-consistent relativistic random phase approximation (RRPA). In particular, results of RRPA calculations of multipole giant resonances and of low-lying collective states in spherical nuclei are analyzed. By using effective Lagrangians which, in the mean-field approximation, provide an accurate description of ground-state properties, an excellent agreement with experimental data is also found for the excitation energies of low-lying collective states and of giant resonances. Two points are essential for the successful application of the RRPA in the description of dynamical properties of finite nuclei: (i) the use of effective Lagrangians with non-linear terms in the meson sector, and (ii) the fully consistent treatment of the Dirac sea of negative energy states.

arXiv comment10 figures, submitted to Nucl.Phys.A

References in corpus (6)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Isoscalar dipole mode in relativistic random phase approximation
• The time-dependent relativistic mean-field theory and the random phase approximation
• Monopole giant resonances and nuclear compressibility in relativistic mean field theory
• Cranked Relativistic Hartree-Bogoliubov Theory: Superdeformed Bands in the $A\sim 190$ Region
• Relativistic mean-field description of the dynamics of giant resonances

Cited by in corpus (33)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Reference Database for Photon Strength Functions
• Self-Consistent Description of Multipole Strength in Exotic Nuclei I: Method
• Relativistic quasiparticle time blocking approximation. Dipole response of open-shell nuclei
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Particle-vibration coupling within covariant density functional theory
• Relativistic Random-Phase Approximation with density-dependent meson-nucleon couplings
• Asymmetric nuclear matter and neutron-skin in extended relativistic mean field model
• Relativistic RPA in axial symmetry
• A Separable Pairing Force for Relativistic Quasiparticle Random Phase Approximation
• Symmetry Energy Constraints from Giant Resonances: A Theoretical Overview
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Low-lying Dipole Modes in ${}^{26,28}$Ne in the Quasiparticle Relativistic Random Phase Approximation
• Correlations between the nuclear breathing mode energy and properties of asymmetric nuclear matter
• Effect of Resonant Continuum on Pairing Correlations in the Relativistic Approach
• The Gamow-Teller Resonance in Finite Nuclei in the Relativistic Random Phase Approximation
• Random-phase approximation based on relativistic point-coupling models
• Effects of the U-boson on the inner edge of neutron star crusts
• Particle vibrational coupling in covariant density functional theory
• Constrained relativistic mean field approach with fixed configurations
• Temperature and density dependence of asymmetric nuclear matter and protoneutron star properties within an extended relativistic mean field model
• Neutrino-nucleon scattering rate in the relativistic random phase approximation
• Self-consistent relativistic random phase approximation with vacuum polarization
• Isovector Giant Dipole Resonance of Stable Nuclei in a Consistent Relativistic Random Phase Approximation
• Collective Multipole excitations of exotic nuclei in relativistic continuum random phase approximation
• Description of ${}^{178}$Hf${}^{m2}$ in the constrained relativistic mean field theory
• The collective excitation of nuclear matter in a bosonized Landau Fermi liquid model
• Dirac Sea Contribution in Relativistic Random Phase Approximation
• Incompressibility of asymmetric nuclear matter