Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics

Abstract

We present the basic concepts and our recent developments in the density functional approaches with the Skyrme functionals for describing nuclear dynamics at low energy. The time-dependent density-functional theory (TDDFT) is utilized for the exact linear response with an external perturbation. For description of collective dynamics beyond the perturbative regime, we present a theory of a decoupled collective submanifold to describe for a slow motion based on the TDDFT. Selected applications are shown to demonstrate the quality of their performance and feasibility. Advantages and disadvantages in the numerical aspects are also discussed.

47 pages, 10 figures, Invited paper for a special issue of Prog. Theor. Exp. Phys

References in corpus (13)

• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Finite amplitude method for the quasi-particle-random-phase approximation
• Self-consistent description of multipole strength: systematic calculations
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Intrinsic-Density Functionals
• Dipole responses in Nd and Sm isotopes with shape transitions
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Microscopic description of oblate-prolate shape mixing in proton-rich Se isotopes
• Shape mixing dynamics in the low-lying states of proton-rich Kr isotopes
• Shape changes and large-amplitude collective dynamics in neutron-rich Cr isotopes
• Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
• Existence of a Density Functional for an Intrinsic State
• Scalar Nature of the Nuclear Density Functional

Cited by in corpus (34)

• Coupled-cluster computations of atomic nuclei
• Microscopic Theory of Nuclear Fission: A Review
• Time-dependent density-functional description of nuclear dynamics
• Towards an ab initio covariant density functional for nuclear structure
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Theory of Nuclear Fission
• First principles description of the giant dipole resonance in 16O
• Low energy collective modes of deformed superfluid nuclei within the finite amplitude method
• Microscopic description of production cross sections including deexcitation effects
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Feasibility of the finite amplitude method in covariant density functional theory
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Three-dimensional mesh calculations for covariant density functional theory
• Time-dependent extension of the self-consistent band theory for neutron star matter: Anti-entrainment effects in the slab phase
• Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence/mixing dynamics
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Self-consistent collective coordinate for reaction path and inertial mass
• Multipole modes of excitation in triaxially deformed superfluid nuclei
• Adiabatic self-consistent collective path in nuclear fusion reactions
• Reaction mechanism study for multinucleon transfer processes in collisions of spherical and deformed nuclei at energies near and above the Coulomb barrier: The ${}^{16}$O+${}^{154}$Sm reaction
• Deep-inelastic multinucleon transfer processes in the ${}^{16}$O+${}^{27}$Al reaction
• TDHF and a macroscopic aspect of low-energy nuclear reactions
• Coupling the Lorentz Integral Transform (LIT) and the Coupled Cluster (CC) Methods: A way towards continuum spectra of "not-so-few-body" systems
• Chiral NNLO${}_{\text{sat}}$ descriptions of nuclear multipole resonances within the random phase approximation
• Finite-amplitude method: An extension to the covariant density functionals
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass
• Multipole Modes for Triaxially Deformed Superfluid Nuclei
• Finite amplitude method in linear response TDDFT calculations
• Multipole responses in fissioning nuclei and their uncertainties
• Low-lying collective excited states in non-integrable pairing models based on stationary-phase approximation to path integral
• Nuclear reaction path and requantization of TDDFT
• Nuclear structure and reaction with quantum shape fluctuation
• Collective inertial masses in nuclear reactions