Random-phase approximation based on relativistic point-coupling models

Abstract

The matrix equations of the random-phase approximation (RPA) are derived for the point-coupling Lagrangian of the relativistic mean-field (RMF) model. Fully consistent RMF plus (quasiparticle) RPA illustrative calculations of the isoscalar monopole, isovector dipole and isoscalar quadrupole response of spherical medium-heavy and heavy nuclei, test the phenomenological effective interactions of the point-coupling RMF model. A comparison with experiment shows that the best point-coupling effective interactions accurately reproduce not only ground-state properties, but also data on excitation energies of giant resonances.

24 pages, 4 figures, accepted for publication in Physical Review C

References in corpus (9)

• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
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• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model
• A microscopic estimate of the nuclear matter compressibility and symmetry energy in relativistic mean-field models
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model II: Nuclear spin and isospin excitations
• Relativistic Random-Phase Approximation with density-dependent meson-nucleon couplings
• Relativistic nuclear model with point-couplings constrained by QCD and chiral symmetry
• Nuclear Many-Body Dynamics constrained by QCD and Chiral Symmetry
• Adjustment studies in self-consistent relativistic mean-field models

Cited by in corpus (11)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Feasibility of the finite amplitude method in covariant density functional theory
• Nuclear ${\beta }^{+}$/EC decays in covariant density functional theory and the impact of isoscalar proton-neutron pairing
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Relativistic Continuum Quasiparticle Random Phase Approximation in Spherical Nuclei
• Relativistic description of magnetic moments in nuclei with doubly closed shells plus or minus one nucleon
• Chiral pion-nucleon dynamics in finite nuclei: spin-isospin excitations
• Nuclei embedded in an electron gas
• Superallowed Fermi transitions in RPA with a relativistic point-coupling energy functional
• Nuclear magnetic moments in covariant density functional theory