Feasibility of the finite amplitude method in covariant density functional theory

Abstract

Self-consistent relativistic random-phase approximation (RPA) in the radial coordinate representation is established by using the finite amplitude method (FAM). Taking the isoscalar giant monopole resonance in spherical nuclei as example, the feasibility of the FAM for the covariant density functionals is demonstrated, and the newly developed methods are verified by the conventional RPA calculations. In the present relativistic RPA calculations, the effects of the Dirac sea can be automatically taken into account in the coordinate-space representation. The rearrangement terms due to the density-dependent couplings can be implicitly calculated without extra computational costs in both iterative and matrix FAM schemes.

12 pages, 5 figures

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Cited by in corpus (36)

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• Finite amplitude method applied to giant dipole resonance in heavy rare-earth nuclei
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• Three-dimensional mesh calculations for covariant density functional theory
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Energy-density-functional calculations including the proton-neutron mixing
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Finite-amplitude method for collective inertia in spontaneous fission
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• Complex-energy approach to sum rules within nuclear density functional theory
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
• Multipole modes of excitation in triaxially deformed superfluid nuclei
• Self-consistent collective coordinate for reaction path and inertial mass
• Mean-field analysis of ground state and low-lying electric dipole strength in ${}^{22}$C
• Low-energy cluster vibrations in N = Z nuclei
• Non-iterative finite amplitude methods for E1 and M1 giant resonances
• Nuclear energy density functionals from empirical ground-state densities
• Finite-amplitude method: An extension to the covariant density functionals
• Triaxiality induced monopole-quadrupole-hexadecupole coupling in the isoscalar giant resonances for ${}^{86}\text{Ge}$
• QRPA calculations for M1 transitions with the noniterative finite amplitude method and the application to neutron radiative capture cross sections
• Low-energy monopole strength in spherical and deformed nuclei : cluster and soft modes
• Multipole Modes for Triaxially Deformed Superfluid Nuclei
• Finite amplitude method in linear response TDDFT calculations
• Five-dimensional collective Hamiltonian with improved inertial functions
• Nuclear charge-exchange excitations in localized covariant density functional theory
• Roles of Antinucleon Degrees of Freedom in the Relativistic Random Phase Approximation
• Axially Deformed Proton-Neutron Relativistic Quasiparticle Finite Amplitude Method for Charge-Exchange Transitions