Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations

Abstract

We present simple equations for a canonical-basis formulation of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. The equations are obtained from the TDHFB theory with an approximation that the pair potential is assumed to be diagonal in the canonical basis. The canonical-basis formulation significantly reduces the computational cost. We apply the method to linear-response calculations for even-even light nuclei and demonstrate its capability and accuracy by comparing our results with recent calculations of the quasi-particle random-phase approximation with Skyrme functionals. We show systematic studies of E1 strength distributions for Ne and Mg isotopes. The evolution of the low-lying pygmy strength seems to be determined by the interplay of several factors, including the neutron excess, separation energy, neutron shell effects, deformation, and pairing.

References in corpus (7)

• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Collision dynamics of two ${}^{238}$U atomic nuclei
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Decay Pattern of Pygmy States Observed in Neutron-Rich 26 Ne
• Study of ${}^{64}$Ni+${}^{132}$Sn Fusion with Density Constrained TDHF Formalism

Cited by in corpus (95)

• Microscopic Theory of Nuclear Fission: A Review
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Time-dependent density-functional description of nuclear dynamics
• The TDHF Code Sky3D
• Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
• Time-dependent Hartree-Fock calculations for multinucleon transfer processes in ${}^{40,48}$Ca+${}^{124}$Sn, ${}^{40}$Ca+${}^{208}$Pb, and ${}^{58}$Ni+${}^{208}$Pb reactions
• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Formation and dynamics of fission fragments
• Effect of pairing on one- and two-nucleon transfer below the Coulomb barrier: a time-dependent microscopic description
• Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Particle number fluctuations and correlations in transfer reactions obtained using the Balian-Vénéroni variational principle
• Finite amplitude method for the quasi-particle-random-phase approximation
• Stochastic quantum dynamics beyond mean-field
• Emergence of pygmy dipole resonances: Magic numbers and neutron skins
• Microscopic approach to coupled-channels effects on fusion
• Low-energy isovector and isoscalar dipole response in neutron-rich nuclei
• Novel Role of Superfluidity in Low-Energy Nuclear Reactions
• Dipole responses in Nd and Sm isotopes with shape transitions
• Dynamical synthesis of 4He in the scission phase of nuclear fission
• Shape evolution of giant resonances in Nd and Sm isotopes
• The unrestricted Skyrme-tensor time-dependent Hartree-Fock and its application to the nuclear response from spherical to triaxial nuclei
• Systematic investigation of low-lying dipole modes using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid spherical nuclei
• Feasibility of the finite amplitude method in covariant density functional theory
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Pairing dynamics in particle transport
• Octupole deformation in the nuclear chart based on the 3D Skyrme Hartree-Fock plus BCS model
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Low-energy dipole excitations in neon isotopes and N=16 isotones within the quasiparticle random phase approximation and the Gogny force
• Collective aspects deduced from time-dependent microscopic mean-field with pairing: application to the fission process
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• Microscopic analysis of induced nuclear fission dynamics
• The electric dipole response of ${}^{76}$Se above 4 MeV
• The Skyrme Tensor Force in Heavy Ion Collisions
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid deformed nuclei
• Fission Dynamics of Compound Nuclei: Pairing versus Fluctuations
• Linear Responses in Time-dependent Hartree-Fock-Bogoliubov Method with Gogny Interaction
• Gauge angle dependence in TDHFB calculations of ${}^{20}$O + ${}^{20}$O head-on collisions with the Gogny interaction
• Dipole response in 208Pb within a self-consistent multiphonon approach
• Microscopic analysis of fusion hindrance in heavy systems
• Low-energy E1 strength in select nuclei: Possible constraints on the neutron skins and the symmetry energy
• Nuclear surface diffuseness revealed in nucleon-nucleus diffraction
• Quantal corrections to mean-field dynamics including pairing
• Transfer probabilities for the reactions ${}^{14,20}$O+${}^{20}$O in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories
• Continuum time-dependent Hartree-Fock for giant resonances in spherical nuclei
• Energy and pairing dependence of dissipation in real-time fission dynamics
• Structure and direct decay of Giant Monopole Resonances
• Roles of deformation and neutron excess on the giant monopole resonance in neutron-rich Zr isotopes
• Generalized time-dependent generator coordinate method for induced fission dynamics
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Fission dynamics, dissipation and clustering at finite temperature
• Microscopic description of the odd-even effect in cold fission
• Multipole modes of excitation in triaxially deformed superfluid nuclei
• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
• Neutron-skin thickness determines the surface tension of a compressible nuclear droplet
• Density-constraint Time-dependent Hartree-Fock-Bogoliubov method
• Microscopic description of pair transfer between two superfluid Fermi systems: combining phase-space averaging and combinatorial techniques
• Fragmentation of electric dipole strength in N=82 isotones
• Ternary quasifission in collisions of actinide nuclei
• Mean-field analysis of ground state and low-lying electric dipole strength in ${}^{22}$C
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Low-lying electric-dipole strengths of Ca, Ni, and Sn isotopes imprinted on total reaction cross sections
• TDHF and a macroscopic aspect of low-energy nuclear reactions
• Effect of pairing on transfer and fusion reactions
• Non-iterative finite amplitude methods for E1 and M1 giant resonances
• Low-lying 2${}^{+}$ states generated by $pn$-quadrupole correlation and $N=28$ shell quenching
• Quantum microscopic approach to low-energy heavy ion collisions
• On the importance of using exact pairing in the study of pygmy dipole resonance
• An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance
• Local alpha-removal strength in the mean-field approximation
• Time-dependent mean field determination of the excitation energy in transfer reactions: application to the reaction ${}^{238}$U on ${}^{12}$C at 6.14 MeV/A
• Superfluid fission dynamics with microscopic approaches
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass
• Exploring Spin Symmetry-Breaking Effects for Static Field Ionization of Atoms: Is There an Analog to the Coulson-Fischer Point in Bond Dissociation?
• Density functional approaches to nuclear dynamics
• Density functional approaches to atomic nuclei
• Metamorphosis of Goldstone and Soft Fluctuation Modes in Polariton Lasers
• Dynamics of one-dimensional correlated nuclear systems within non-equilibrium Green's function theory
• Measurement of the total neutron scattering cross section ratios of noble gases of natural isotopic composition using a pulsed neutron beam
• Microscopic description of large amplitude collective motion in the nuclear astrophysics context
• Systematic investigation of E1 strength for the isotopes from Z = 28 to 50
• Comparative study of the requantization of the time-dependent mean field for the dynamics of nuclear pairing
• Simulation of heavy ion collision using a time-dependent density functional theory including nuclear superfluidity
• Global density-dependent $\alpha$-nucleon interaction for $\alpha$-nucleus elastic scattering
• Dynamical description of the fission process using the TD-BCS theory
• Probing quantum many-body dynamics in nuclear systems
• Microscopic study of the effect of intrinsic degrees of freedom on fusion
• Linear response calculation using the canonical-basis TDHFB with a schematic pairing functional
• Time-dependent Hartree-Fock Study of Octupole Vibrations in doubly magic nuclei
• Study of pygmy dipole resonance with a new time-dependent mean field theory
• Critical point search and linear response theory for computing electronic excitation energies of molecular systems. Part I: General framework, application to Hartree-Fock and DFT
• Microscopic Theory of Nuclear Fission
• Real-time calculations of many-body dynamics in quantum systems
• Isovector giant monopole and quadrupole resonances in a Skyrme energy density functional approach with axial symmetry