Conservation Properties in the Time-Dependent Hartree Fock Theory

Abstract

We discuss the conservation of angular momentum in nuclear time-dependent Hartree-Fock calculations for a numerical representation of wave functions and potentials on a three-dimensional cartesian grid. Free rotation of a deformed nucleus performs extremely well even for relatively coarse spatial grids. Heavy ion collisions produce a highly excited compound system associated with substantial nucleon emission. These emitted nucleons reach the bounds of the numerical box which leads to a decrease of angular momentum. We discuss strategies to distinguish the physically justified loss from numerical artifacts.

4 pages

References in corpus (10)

• Time-odd components in the mean field of rotating superdeformed nuclei
• Linear response theory in the continuum for deformed nuclei: Green's function vs. time-dependent Hartree-Fock with the absorbing-boundary condition
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Spin-Excitation Mechanisms in Skyrme-Force Time-Dependent Hartree-Fock
• Time-Dependent Response Calculations of Nuclear Resonances
• Non-Linear Vibrations in Nuclei
• Quantum calculations of Coulomb reorientation for sub-barrier fusion
• TDHF fusion calculations for spherical+deformed systems
• Nuclear Giant Resonances and Linear Response
• Boost-invariant mean field approximation and the nuclear Landau-Zener effect

Cited by in corpus (34)

• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• 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
• Shannon Information Entropy in Heavy-ion Collisions
• Energy dependence of potential barriers and its effect on fusion cross-sections
• Entrance Channel Dynamics of Hot and Cold Fusion Reactions Leading to Superheavy Elements
• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Non-Gaussian Fluctuation and Non-Markovian Effect in the Nuclear Fusion Process: Langevin Dynamics Emerging from Quantum Molecular Dynamics Simulations
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Systematics of capture and fusion dynamics in heavy-ion collisions
• The Role of Tensor Force in Heavy-Ion Fusion Dynamics
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Microscopic Calculation of Pre-Compound Excitation Energies for Heavy-Ion Collisions
• Microscopic study of the ${}^{132,124}$Sn+${}^{96}$Zr reactions: dynamic excitation energy, energy-dependent heavy-ion potential, and capture cross section
• Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory
• Transport properties of isospin asymmetric nuclear matter using TDHF
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• The influence of tensor force on the microscopic heavy-ion interaction potential
• Microscopic analysis of sub-barrier fusion enhancement in ${}^{132}$Sn+${}^{40}$Ca vs. ${}^{132}$Sn+${}^{48}$Ca}
• Dynamic microscopic study of pre-equilibrium giant resonance excitation and fusion in the reactions ${}^{132}$Sn+${}^{48}$Ca and ${}^{124}$Sn+${}^{40}$Ca
• Confronting measured near and sub-barrier fusion cross-sections for 20O+12C with a microscopic method
• Single-particle dissipation in TDHF studied from a phase-space perspective
• Two-body dissipation effect in nuclear fusion reactions
• Center-of-mass motion and cross-channel coupling in time-dependent Hartree-Fock theory
• Energy-Dependence of Nucleus-Nucleus Potential and Friction Parameter in Fusion Reactions
• Equilibration in the time-dependent Hartree-Fock approach probed with the Wigner distribution function
• Theoretical study of fusion reactions ${}^{32}$S + ${}^{94,96}$Zr and ${}^{40}$Ca + ${}^{94,96}$Zr and quadrupole deformation of ${}^{94}$Zr
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• Impact of octupole correlation on the inverse quasifission in ${}^{160}\text{Gd}+{}^{186}\text{W}$ collisions
• Continuum damping effects in nuclear collisions associated with twisted boundary conditions
• Microscopic quasifission dynamics of the ${}^{54}\text{Cr}+{}^{243}\text{Am}$ reaction
• Microscopic DC-TDHF study of heavy-ion potentials and fusion cross sections