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

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• TDHF fusion calculations for spherical+deformed systems
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• Anomalous pairing vibration in neutron-rich Sn isotopes beyond the N=82 magic number
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• The Study of Mass Distribution of products in 7.0 AMeV U238+U238 Collisions
• 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
• Collective response of nuclei: Comparison between experiments and extended mean-field calculations
• Microscopic Composition of Ion-Ion Interaction Potentials
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• Zero Sound Propagation in Femto-Scale Quantum Liquids
• Damping of Collective Nuclear Motion and Thermodynamic Properties of Nuclei beyond Mean Field
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• Coupled collective motion in nuclear reactions

Cited by in corpus (149)

• 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
• Transfer probabilities for the reactions ${}^{14,20}$O+${}^{20}$O in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories
• Pauli energy contribution to nucleus-nucleus interaction
• Confronting measured near and sub-barrier fusion cross-sections for 20O+12C with a microscopic method
• Quantal description of nucleon exchange in stochastic mean-field approach
• Microscopic study of ${}^{40}$Ca+${}^{58,64}$Ni fusion reactions
• Structure and direct decay of Giant Monopole Resonances
• 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
• Time-dependent Hartree-Fock study of quasifission trajectories in reactions forming ${}^{294}$Og
• Multi-nucleon transfer in ${}^{58}\text{Ni}+{}^{60}\text{Ni}$ and ${}^{60}\text{Ni}+{}^{60}\text{Ni}$ in stochastic mean-field approach
• Time-dependent covariant density functional theory in 3D lattice space: benchmark calculation for 16O + 16O reaction
• Quantal Nucleon Diffusion I: Central Collisions of Symmetric Nuclei
• Quantal diffusion description of isotope production by multinucleon transfer mechanism in ${}^{48}\text{Ca}+{}^{238}\text{U}$ collisions
• Multinucleon transfer with time-dependent covariant density functional theory
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Sub-barrier capture reactions with ${}^{16,18}$O and ${}^{40,48}$Ca beams
• Microscopic dynamics simulations of multi-nucleon transfer in ${}^{86}$Kr+${}^{64}$Ni at 25 MeV/nucleon
• Fission dynamics, dissipation and clustering at finite temperature
• 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
• Microscopic study of the compound nucleus formation in cold-fusion reactions
• Energy-Dependence of Nucleus-Nucleus Potential and Friction Parameter in Fusion Reactions
• Merging of transport theory with TDHF: multinucleon transfer in U+U collisions
• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Ternary quasifission in collisions of actinide nuclei
• Microscopic description of the torque acting on fission fragments
• Shell Effects in Quasi-fission in Reactions Forming 226Th Compound Nucleus
• Inhomogeneity growth in two-component fermionic systems
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• 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
• Quantum fluctuations induce collective multiphonons in finite Fermi liquids
• 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
• Deep-inelastic multinucleon transfer processes in the ${}^{16}$O+${}^{27}$Al reaction
• Exotic break-up modes in heavy ion reactions at low energies
• Cluster model of 12C in density functional theory framework
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Giant dipole resonance in Sm isotopes within TDHF method
• Giant dipole resonance and shape evolution in Nd isotopes within TDHF method
• 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
• Eulerian Rotations of Deformed Nuclei for TDDFT Calculations
• 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
• 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
• Multiconfigurational time-dependent density functional theory for atomic nuclei: Technical and numerical aspects
• Time-dependent density functional theory study of induced-fission dynamics of ${}^{226}$Th
• Superfluid fission dynamics with microscopic approaches
• 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
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass
• Microscopic description of large amplitude collective motion in the nuclear astrophysics context
• 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
• Effect of Pauli repulsion and transfer on fusion
• A Time Dependent Multi-Determinant approach to nuclear dynamics
• Computing nuclear response functions with time-dependent coupled-cluster theory
• Microscopic study of the effect of intrinsic degrees of freedom on fusion
• Probing quantum many-body dynamics in nuclear systems
• Nuclear reaction path and requantization of TDDFT
• Investigation of giant dipole resonance in Mo isotopes within TDHF theory
• Continuum damping effects in nuclear collisions associated with twisted boundary conditions
• Quasifission dynamics in TDHF
• Evolving theoretical descriptions of heavy-ion fusion :from phenomenological to microscopic approaches
• Time-dependent Hartree-Fock Study of Octupole Vibrations in doubly magic nuclei
• Role of two-body dissipation on the mean-field dynamics validity
• Quantum microscopic dynamical approaches
• Collective inertial masses in nuclear reactions
• Physics-informed interpretable forms for dipole resonances and quantities relevant for astrophysics
• Time-dependent mean-field investigations of the quasifission process
• Symmetry breaking and restoration on a fermionic quantum ring
• Nuclear structure and reaction with quantum shape fluctuation
• Resonances and Reactions from Mean-Field Dynamics
• Concentrated valence nucleons transfer in heavy-ion collisions: implications for questing the stable superheavy elements
• Dynamics of quasifission