Continuum Random Phase Approximation for Relativistic Point Coupling Models

Abstract

Relativistic Continuum Random Phase Approximation (CRPA) is used to investigate collective excitation phenomena in several spherical nuclei along the periodic table. We start from relativistic mean field calculations based on a covariant density functional with density dependent zero range forces. From the same functional an effective interaction is obtained as the second derivative with respect to the density. This interaction is used in relativistic continuum-RPA calculations for the investigation of isoscalar monopole, isovector dipole and isoscalar quadrupole resonances of spherical nuclei. In particular we study the low-lying E1 strength in the vicinity of the neutron evaporation threshold. The properties of the resonances, such as centroid energies and strengths distributions are compared with results of discrete RPA calculations for the same model as well as with experimental data.

49 pages, 10 figures, accepted for publication in Phys. Pev. C

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• Large-scale Continuum Random Phase Approximation predictions of dipole strength for astrophysical applications
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• Feasibility of the finite amplitude method in covariant density functional theory
• Green's function method for single-particle resonant states in relativistic mean field theory
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Relativistic Continuum Quasiparticle Random Phase Approximation in Spherical Nuclei
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Self-consistent Continuum Random Phase Approximation calculations with finite-range interactions
• Configuration interaction in symmetry-conserving covariant density functional theory
• An efficient method for computing the Thouless-Valatin inertia parameters
• Relativistic description of magnetic moments in nuclei with doubly closed shells plus or minus one nucleon
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
• Searching for single-particle resonances with the Green's function method
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Finite-temperature linear response theory based on relativistic Hartree Bogoliubov model with point-coupling interaction
• Nuclear pasta and symmetry energy in the relativistic point-coupling model
• Time-dependent Dirac equation applied to one-proton radioactive emission
• Theory of nuclear collective vibrations
• The collective excitation of nuclear matter in a bosonized Landau Fermi liquid model
• Nuclear magnetic moments in covariant density functional theory