Relativistic Random-Phase Approximation with density-dependent meson-nucleon couplings

Abstract

The matrix equations of the relativistic random-phase approximation (RRPA) are derived for an effective Lagrangian characterized by density-dependent meson-nucleon vertex functions. The explicit density dependence of the meson-nucleon couplings introduces rearrangement terms in the residual two-body interaction, that are essential for a quantitative description of excited states. Illustrative calculations of the isoscalar monopole, isovector dipole and isoscalar quadrupole response of ${}^{208}$Pb, are performed in the fully self-consistent RRPA framework, based on effective interactions with a phenomenological density dependence adjusted to nuclear matter and ground-state properties of spherical nuclei. The comparison of the RRPA results on multipole giant resonances with experimental data constrains the parameters that characterize the isoscalar and isovector channel of the density-dependent effective interactions.

RevTeX, 8 eps figures, submitted to Phys. Rev. C

References in corpus (1)

• Concentration of electric dipole strength below the neutron separation energy in N = 82 nuclei

Cited by in corpus (57)

• Reaction Dynamics with Exotic Beams
• Exotic modes of excitation in atomic nuclei far from stability
• Nucleon and hadron structure changes in the nuclear medium and impact on observables
• Core-crust transition in neutron stars: predictivity of density developments
• A microscopic estimate of the nuclear matter compressibility and symmetry energy in relativistic mean-field models
• On the Lorentz structure of the symmetry energy
• Nuclear matter incompressibility coefficient in relativistic and nonrelativistic microscopic models
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model II: Nuclear spin and isospin excitations
• Self-Consistent Description of Multipole Strength in Exotic Nuclei I: Method
• The Relativistic Dirac-Brueckner Approach to Asymmetric Nuclear Matter
• Modelization of the EOS
• Tables of Hyperonic Matter Equation of State for Core-Collapse Supernovae
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Beta-decay rates of r-process nuclei in the relativistic quasiparticle random phase approximation
• Low-energy isovector and isoscalar dipole response in neutron-rich nuclei
• Isotopic dependence of the pygmy dipole resonance
• Stellar electron-capture rates calculated with the finite-temperature relativistic random-phase approximation
• Relativistic nuclear energy density functional constrained by low-energy QCD
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• Feasibility of the finite amplitude method in covariant density functional theory
• Instabilities in asymmetric nuclear matter
• Cluster formation in compact stars: relativistic versus Skyrme models
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Collective multipole excitations based on correlated realistic nucleon-nucleon interactions
• Thermal Properties of Asymmetric Nuclear Matter
• Relativistic Effects in Nuclear Matter and Nuclei
• Low densities in asymmetric nuclear matter
• The breathing-mode giant monopole resonance and the surface compressibility in the relativistic mean-field theory
• Magnetic dipole excitations based on the relativistic nuclear energy density functional
• Time-dependent covariant density functional theory in 3D lattice space: benchmark calculation for 16O + 16O reaction
• Low-energy dipole excitations towards the proton drip-line: doubly magic 48Ni
• Electric dipole polarizability in neutron-rich Sn isotopes as a probe of nuclear isovector properties
• Finding quark content of neutron stars in light of GW170817
• Finite- to zero-range relativistic mean-field interactions
• Random-phase approximation based on relativistic point-coupling models
• Neutral-current neutrino-nucleus cross sections based on relativistic nuclear energy density functional
• Chiral pion-nucleon dynamics in finite nuclei: spin-isospin excitations
• Ground state properties of rare-earth nuclei in the relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Density Dependent Parametrization Models: Formalism and Applications
• Large-scale calculations of supernova neutrino-induced reactions in Z=8-82 target nuclei
• Dynamical instabilities in density-dependent hadronic relativistic models
• Relativistic Transport Approach to Collective Nuclear Dynamics
• Role of momentum transfer in the quenching of Gamow-Teller strength
• Relativistic mean field study of neutron rich even-even C and Be isotopes
• Nuclear matter in the chiral limit and the in-medium chiral condensate
• Nuclear structure far from stability
• Finite-amplitude method: An extension to the covariant density functionals
• Density-dependent relativistic mean-field model for ${\Xi }^{-}$ hypernuclei
• Nuclear matter calculations with the phenomenological three-nucleon interaction
• Microscopic Investigation of Ground State Properties and Shape Evolution in Osmium Isotopes
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach
• Possible existence of pygmy dipole resonance built on excited states in a neutron-rich ${}^{80}$Ge nucleus
• Effects of Nontrivial Topology on Neutron Star Rotation and its Potential Observational Implications
• Self-Consistent Description of Collective Excitations in the Unitary Correlation Operator Method
• Shape transitions and ground-state properties of tungsten isotopes in covariant density functional theory
• Topological Shell Structures in Neutron Stars: Effects on Equilibrium, Oscillations, and Gravitational-Wave Signatures
• Collective excitations in the Unitary Correlation Operator Method and relativistic QRPA studies of exotic nuclei