Relativistic Continuum Quasiparticle Random Phase Approximation in Spherical Nuclei

Abstract

We have calculated the strength distributions of the dipole response in spherical nuclei, ranging all over the periodic table. The calculations were performed within two microscopic models: the discretized quasiparticle random phase approximation (QRPA) and the quasiparticle continuum RPA, which takes into account the coupling of the single-particle continuum in an exact way. Pairing correlations are treated with the BCS model. In the calculations, two density functionals were used, namely the functional PC-F1 and the functional DD-PC1. Both are based on relativistic point coupling Lagrangians. It is explicitly shown that this model is capable of reproducing the giant as well as the pygmy dipole resonance for open-shell nuclei in a high level of quantitative agreement with the available experimental observations.

9 pages, 6 figures, accepted for publication in Phys. Pev. C

References in corpus (19)

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• The effective force NL3 revisited
• Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model
• Large-scale QRPA calculation of E1-strength and its impact on the neutron capture cross section
• Continuum Linear Response in Coordinate Space Hartree-Fock-Bogoliubov Formalism for Collective Excitations in Drip-line Nuclei
• Linear response theory in the continuum for deformed nuclei: Green's function vs. time-dependent Hartree-Fock with the absorbing-boundary condition
• Continuum quasiparticle random phase approximation and the time dependent Hartree-Fock-Bogoliubov approach
• The time-dependent relativistic mean-field theory and the random phase approximation
• Level densities and $\gamma$-ray strength functions in Sn isotopes
• Relativistic Approach to Isoscalar Giant Resonances in 208Pb
• Continuum Random Phase Approximation for Relativistic Point Coupling Models
• Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method
• Continuum QRPA in the coordinate space representation
• Collective Excitations and Pairing Effects in Drip-Line Nuclei -- Continuum RPA in Coordinate-Space HFB --
• Continuum quasiparticle linear response theory using the Skyrme functional for multipole responses of exotic nuclei
• Pairing and continuum effects on low-frequency quadrupole vibrations in deformed Mg isotopes close to the neutron drip line
• Random-phase approximation based on relativistic point-coupling models

Cited by in corpus (17)

• Time-dependent density-functional description of nuclear dynamics
• Large-scale Continuum Random Phase Approximation predictions of dipole strength for astrophysical applications
• The many facets of the (non relativistic) Nuclear Equation of State
• Low-lying dipole response in the stable ${}^{40,48}$Ca nuclei with the second random-phase approximation
• Low-energy dipole strength in 112,120Sn
• Systematic investigation of low-lying dipole modes using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory
• Feasibility of the finite amplitude method in covariant density functional theory
• Electric dipole response of neutron-rich Calcium isotopes in relativistic quasiparticle time blocking approximation
• Connecting the Pygmy Dipole Resonance to the neutron skin
• A self-consistent study of multipole response in neutron-rich nuclei using a modified realistic potential
• Configuration interaction in symmetry-conserving covariant density functional theory
• Evolution of the dipole polarizability in the stable tin isotope chain
• Dipole response in neutron-rich nuclei with new Skyrme interactions
• Spin-orbit splittings of neutron states in $N=20$ isotones from covariant density functionals and their extensions
• Finite-temperature linear response theory based on relativistic Hartree Bogoliubov model with point-coupling interaction
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• Theoretical description of nuclear collective excitations