Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions

Abstract

A summary of recent researches on nuclear dynamics with realistic microscopic quantum approaches is presented. The Balian-Vénéroni variational principle is used to derive the time-dependent Hartree-Fock (TDHF) equation describing the dynamics at the mean-field level, as well as an extension including small-amplitude quantum fluctuations which is equivalent to the time-dependent random-phase approximation (TDRPA). Such formalisms as well as their practical implementation in the nuclear physics framework with modern three-dimensional codes are discussed. Recent applications to nuclear dynamics, from collective vibrations to heavy-ion collisions are presented. A particular attention is devoted to the interplay between collective motions and internal degrees of freedom. For instance, the harmonic nature of collective vibrations is questioned. Nuclei are also known to exhibit superfluidity due to pairing residual interaction. Extensions of the theoretical approach to study such pairing vibrations are now available. Large amplitude collective motions are investigated in the framework of heavy-ion collisions leading, for instance, to the formation of a compound system. How fusion is affected by the internal structure of the collision partners, such as their deformation, is discussed. Other mechanisms in competition with fusion, and responsible for the formation of fragments which differ from the entrance channel (transfer reactions, deep-inelastic collisions, and quasi-fission) are investigated. Finally, studies of actinide collisions forming, during very short times of few zeptoseconds, the heaviest nuclear systems available on Earth, are presented.

49 pages. Review article to be published in EPJA. v.3: minor changes in Eqs. 2.50, A.13 and B.30

References in corpus (42)

• Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• A Stochastic Mean-Field Approach For Nuclear Dynamics
• Particle number fluctuations and correlations in transfer reactions obtained using the Balian-Vénéroni variational principle
• Collision dynamics of two ${}^{238}$U atomic nuclei
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• A new inverse quasifission mechanism to produce neutron-rich transfermium nuclei
• Spin-Excitation Mechanisms in Skyrme-Force Time-Dependent Hartree-Fock
• Microscopic sub-barrier fusion calculations for the neutron star crust
• Microscopic study of Ca$+$Ca fusion
• Density-constrained time-dependent Hartree-Fock calculation of ${}^{16}$O+${}^{208}$Pb fusion cross sections
• Fusion process studied with preequilibrium giant dipole resonance in time dependent Hartree-Fock theory
• ${}^{64}$Ni+${}^{64}$Ni fusion reaction calculated with the density-constrained time-dependent Hartree-Fock formalism
• Pairing dynamics in particle transport
• Probing neutron correlations through nuclear break-up
• Microscopic Calculation of Pre-Compound Excitation Energies for Heavy-Ion Collisions
• Time-Depentent Hartree-Fock description of heavy ions fusion
• TDHF fusion calculations for spherical+deformed systems
• Study of ${}^{64}$Ni+${}^{132}$Sn Fusion with Density Constrained TDHF Formalism
• Neutron Transfer Dynamics and Doorway to Fusion in Time-Dependent Hartree-Fock Theory
• Conservation Properties in the Time-Dependent Hartree Fock Theory
• Dynamical deformation effects in subbarrier fusion of ${}^{64}$Ni+${}^{132}$Sn
• Angular anisotropy of the fusion-fission and quasifission fragments
• Hindrance in the fusion of ${}^{48}$Ca+${}^{48}$Ca
• Nuclear Giant Resonances and Linear Response
• Boost-invariant mean field approximation and the nuclear Landau-Zener effect
• Calculation of electron-positron production in supercritical uranium-uranium collisions near the Coulomb barrier
• Linear Responses in Time-dependent Hartree-Fock-Bogoliubov Method with Gogny Interaction
• On nucleon exchange mechanism in heavy-ion collisions at near-barrier energies
• Mass dispersions from giant dipole resonances using the Balian-Veneroni variational approach
• Dynamic microscopic study of pre-equilibrium giant resonance excitation and fusion in the reactions ${}^{132}$Sn+${}^{48}$Ca and ${}^{124}$Sn+${}^{40}$Ca
• Pair-transfer probability in open- and closed-shell Sn isotopes
• Single-particle dissipation in TDHF studied from a phase-space perspective
• Variational self-consistent theory for trapped Bose gases at finite temperature
• Center-of-mass motion and cross-channel coupling in time-dependent Hartree-Fock theory
• Probing the pairing interaction through two-neutron transfer reactions
• Microscopic calculations of double and triple Giant Resonance excitation in heavy ion collisions
• Zero Sound Propagation in Femto-Scale Quantum Liquids

Cited by in corpus (146)

• Time-dependent density-functional description of nuclear dynamics
• The TDHF Code Sky3D
• 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
• Future of Nuclear Fission Theory
• Formation and dynamics of fission fragments
• Interplay between quantum shells and orientation in quasi-fission
• Time-dependent Hartree-Fock calculations for multinucleon transfer and quasifission processes in the ${}^{64}$Ni+${}^{238}$U reaction
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Energy dependence of potential barriers and its effect on fusion cross-sections
• How the Pauli exclusion principle affects fusion of atomic nuclei
• Stochastic quantum dynamics beyond mean-field
• Dissipative dynamics in quasi-fission
• New neutron-rich isotope production in ${}^{154}$Sm+${}^{160}$Gd
• Microscopic study of ${}^{16}$O+${}^{16}$O fusion
• Microscopic approach to coupled-channels effects on fusion
• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Shape evolution and collective dynamics of quasifission in TDHF
• Non-Gaussian Fluctuation and Non-Markovian Effect in the Nuclear Fusion Process: Langevin Dynamics Emerging from Quantum Molecular Dynamics Simulations
• Timescales of quantum equilibration, dissipation and fluctuation in nuclear collisions
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Microscopic description of production cross sections including deexcitation effects
• Reduced quasifission competition in fusion reactions forming neutron-rich heavy elements
• The Role of Tensor Force in Heavy-Ion Fusion Dynamics
• Collision dynamics at medium and relativistic energies
• Quantal Diffusion Description of Multi-Nucleon Transfers in Heavy-Ion Collisions
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid spherical nuclei
• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element
• Exploring Zeptosecond Quantum Equilibration Dynamics: From Deep-Inelastic to Fusion-Fission Outcomes in ${}^{58}$Ni+${}^{60}$Ni Reactions
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Dependence of fusion on isospin dynamics
• Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products
• Quantal diffusion approach for multi-nucleon transfers in Xe + Pb collisions
• Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory
• Transport properties of isospin asymmetric nuclear matter using TDHF
• Deformed shell effects in ${}^{48}$Ca+${}^{249}$Bk quasifission fragments
• Multi-Nucleon Transfer in Central Collisions of ${}^{238}$U + ${}^{238}$U
• Time-dependent HF approach to SHE dynamics
• Nucleus-nucleus potential with shell-correction contribution
• Microscopic analysis of induced nuclear fission dynamics
• The electric dipole response of ${}^{76}$Se above 4 MeV
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• The Skyrme Tensor Force in Heavy Ion Collisions
• Microscopic predictions for production of neutron rich nuclei in the reaction ${}^{176}\mathbf{Yb}+{}^{176}\mathbf{Yb}$
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid deformed nuclei
• Connecting the nuclear EoS to the interplay between fusion and quasifission processes in low-energy nuclear reactions
• Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• Cluster formation in pre-compound nuclei in the time-dependent framework
• Quasifission dynamics in microscopic theories
• Absence of hindrance in microscopic ${}^{12}$C+${}^{12}$C fusion study
• Two-body dissipation effects on synthesis of superheavy elements
• Evidence for the role of proton shell closure in quasi-fission reactions from X-ray fluorescence of mass-identified fragments
• Comparison of fission and quasi-fission modes
• Time-dependent density functional theory with twist-averaged boundary conditions
• The influence of tensor force on the microscopic heavy-ion interaction potential
• Sub-barrier enhancement of fusion as compared to a microscopic method in 18O+12C
• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$Ca}
• Microscopic analysis of fusion hindrance in heavy systems
• Time-dependent generator coordinate method study of fission: dissipation effects
• Heavy isotope production in ${}^{136}\text{Xe}+{}^{208}\text{Pb}$ collisions at $E_{\text{c.m.}}=514$ MeV
• Dynamical effects in fusion with exotic nuclei
• Theoretical Uncertainty Quantification for Heavy-ion Fusion
• Nucleon exchange in heavy-ion collisions within stochastic mean-field approach
• Pauli energy contribution to nucleus-nucleus interaction
• Transfer probabilities for the reactions ${}^{14,20}$O+${}^{20}$O in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories
• Confronting measured near and sub-barrier fusion cross-sections for 20O+12C with a microscopic method
• Two-body dissipation effect in nuclear fusion reactions
• Time-dependent extension of the self-consistent band theory for neutron star matter: Anti-entrainment effects in the slab phase
• Microscopic study of ${}^{40}$Ca+${}^{58,64}$Ni fusion reactions
• Quantal description of nucleon exchange in stochastic mean-field approach
• Time-dependent Hartree-Fock study of quasifission trajectories in reactions forming ${}^{294}$Og
• Time-dependent covariant density functional theory in 3D lattice space: benchmark calculation for 16O + 16O reaction
• Multi-nucleon transfer in ${}^{58}\text{Ni}+{}^{60}\text{Ni}$ and ${}^{60}\text{Ni}+{}^{60}\text{Ni}$ in stochastic mean-field approach
• Multinucleon transfer with time-dependent covariant density functional theory
• Quantal diffusion description of isotope production by multinucleon transfer mechanism in ${}^{48}\text{Ca}+{}^{238}\text{U}$ collisions
• Quantal Nucleon Diffusion I: Central Collisions of Symmetric Nuclei
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Fission dynamics, dissipation and clustering at finite temperature
• Microscopic dynamics simulations of multi-nucleon transfer in ${}^{86}$Kr+${}^{64}$Ni at 25 MeV/nucleon
• Sub-barrier capture reactions with ${}^{16,18}$O and ${}^{40,48}$Ca beams
• Self-consistent collective coordinate for reaction path and inertial mass
• Kinetic energy dissipation and fluctuations in strongly-damped heavy-ion collisions within the stochastic mean-field approach
• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
• Estimating the relevance of predictions from nuclear mean-field models
• Extension of continuum time-dependent Hartree-Fock method to proton states
• Generalized time-dependent generator coordinate method for small and large amplitude collective motion
• Energy-Dependence of Nucleus-Nucleus Potential and Friction Parameter in Fusion Reactions
• Microscopic study of the compound nucleus formation in cold-fusion reactions
• Merging of transport theory with TDHF: multinucleon transfer in U+U collisions
• Ternary quasifission in collisions of actinide nuclei
• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Shell Effects in Quasi-fission in Reactions Forming 226Th Compound Nucleus
• Microscopic description of the torque acting on fission fragments
• Inhomogeneity growth in two-component fermionic systems
• 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
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Quantum fluctuations induce collective multiphonons in finite Fermi liquids
• Deep-inelastic multinucleon transfer processes in the ${}^{16}$O+${}^{27}$Al reaction
• Superfluid extension of the self-consistent time-dependent band theory for neutron star matter: Anti-entrainment versus superfluid effects in the slab phase
• Stochastic TDHF in an exactly solvable model
• TDHF and a macroscopic aspect of low-energy nuclear reactions
• Exotic break-up modes in heavy ion reactions at low energies
• Cluster model of 12C in density functional theory framework
• Giant dipole resonance and shape evolution in Nd isotopes within TDHF method
• Giant dipole resonance in Sm isotopes within TDHF method
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
• An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance
• Above-barrier heavy-ion fusion cross-sections using the relativistic mean-field approach: case of spherical colliding nuclei
• Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches
• Time-dependent Hartree-Fock calculations for multi-nucleon transfer processes: Effects of particle evaporation on production cross sections
• Microscopic Study of Spin Transfer in Near-Barrier Nuclear Reactions
• Sensitivity to the initial conditions of the Time-Dependent Density Functional Theory
• Multiconfigurational time-dependent density functional theory for atomic nuclei: Technical and numerical aspects
• Superfluid fission dynamics with microscopic approaches
• Time-dependent density functional theory study of induced-fission dynamics of ${}^{226}$Th
• 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
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass
• Time-dependent random phase approximation for particle-number fluctuations and correlations in deep-inelastic collisions of ${}^{144}$Sm+${}^{144}$Sm and ${}^{154}$Sm+${}^{154}$Sm
• Semi-classical approaches to heavy-ion reactions: fusion, rainbow, and glory
• Phase-space consideration on barrier transmission in a time-dependent variational approach with superposed wave packets
• Microscopic description of large amplitude collective motion in the nuclear astrophysics context
• Computing nuclear response functions with time-dependent coupled-cluster theory
• A Time Dependent Multi-Determinant approach to nuclear dynamics
• Effect of Pauli repulsion and transfer on fusion
• Nuclear reaction path and requantization of TDDFT
• Probing quantum many-body dynamics in nuclear systems
• Microscopic study of the effect of intrinsic degrees of freedom on fusion
• Investigation of giant dipole resonance in Mo isotopes within TDHF theory
• Continuum damping effects in nuclear collisions associated with twisted boundary conditions
• Evolving theoretical descriptions of heavy-ion fusion :from phenomenological to microscopic approaches
• Time-dependent Hartree-Fock Study of Octupole Vibrations in doubly magic nuclei
• Quasifission dynamics in TDHF
• Role of two-body dissipation on the mean-field dynamics validity
• Resonances and Reactions from Mean-Field Dynamics
• Quantum microscopic dynamical approaches
• Time-dependent mean-field investigations of the quasifission process
• Collective inertial masses in nuclear reactions
• Symmetry breaking and restoration on a fermionic quantum ring
• Concentrated valence nucleons transfer in heavy-ion collisions: implications for questing the stable superheavy elements
• Nuclear structure and reaction with quantum shape fluctuation
• Dynamics of quasifission