Transport properties of isospin asymmetric nuclear matter using TDHF

Abstract

Background: The study of deep-inelastic reactions of nuclei provide a vehicle to investigate nuclear transport phenomena for a full range of equilibration dynamics. These inquires provide us the ingredients to model such phenomena and help answer important questions about the nuclear Equation of State (EOS) and its evolution as a function of neutron-to-proton $(N/Z)$ ratio. Purpose: The motivation is to examine the real-time dynamics of nuclear transport phenomena and its dependence on $(N/Z)$ asymmetry from a microscopic point of view to avoid any pre-conceived assumptions about the involved processes. Method: Time-dependent Hartree-Fock (TDHF) method in full 3D is employed to calculate deep-inelastic reactions of ${}^{78}$Kr+${}^{208}$Pb and ${}^{92}$Kr+${}^{208}$Pb systems at 8.5~MeV$/A$. The impact parameter and energy-loss dependence of relevant observables are calculated. In addition, density constrained TDHF method is used to compute excitation energies of the primary fragments. The statistical deexcitation code GEMINI is utilized to examine the final reaction products. Results: The kinetic energy loss and sticking times as a function of impact parameter are calculated. Final properties of the fragments (charge, mass, scattering angle, kinetic energy) are computed. Conclusions: We find a smooth dependence of the energy loss, $E_{\mathrm{loss}}$, on the impact parameter for both systems. On the other hand the transfer properties for low $E_{\mathrm{loss}}$ values are very different for the two systems but become similar in the higher $E_{\mathrm{loss}}$ regime. The mean life time of the charge equilibration process, obtained from the final $(N-Z)/A$ value of the fragments, is shown to be $\sim 0.5$~zs. This value is slightly larger (but of the same order) than the value obtained from reactions at Fermi energies.

arXiv comment12 pages, 13 figures

References in corpus (47)

• Determination of the Equation of State of Dense Matter
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Physics of Neutron Star Crusts
• Constraints on the density dependence of the symmetry energy
• Nuclear Energy Density Optimization
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• A way forward in the study of the symmetry energy: experiment, theory, and observation
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Time-dependent density-functional description of nuclear dynamics
• A systematic description of evaporation spectra for light and heavy compound nuclei
• 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
• Searching for isovector signatures in the neutron-rich oxygen and calcium isotopes
• A New Equation of State for Astrophysical Simulations
• Linear response theory in the continuum for deformed nuclei: Green's function vs. time-dependent Hartree-Fock with the absorbing-boundary condition
• The Thermodynamic Model for Nuclear Multifragmentation
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• 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
• Influence of entrance-channel magicity and isospin on quasi-fission
• Particle number fluctuations and correlations in transfer reactions obtained using the Balian-Vénéroni variational principle
• Stochastic quantum dynamics beyond mean-field
• Probing the Nuclear Symmetry Energy with Heavy Ion Collisions
• Dissipative dynamics in quasi-fission
• One-body energy dissipation in fusion reaction from mean-field theory
• Shape evolution and collective dynamics of quasifission in TDHF
• Nuclear Theory and Science of the Facility for Rare Isotope Beams
• Reduced quasifission competition in fusion reactions forming neutron-rich heavy elements
• Mass dispersion in transfer reactions with a stochastic mean-field theory
• Constraints on the density dependence of the symmetry energy from heavy ion collisions
• The Influence of in-medium NN cross-sections, symmetry potential and impact parameter on the isospin observables
• 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
• Time-Depentent Hartree-Fock description of heavy ions fusion
• Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products
• Neutron Transfer Dynamics and Doorway to Fusion in Time-Dependent Hartree-Fock Theory
• Conservation Properties in the Time-Dependent Hartree Fock Theory
• Suppression of Charge Equilibration leading to the Synthesis of Exotic Nuclei
• Dependence of fusion on isospin dynamics
• Quadrupole resonances in unstable oxygen isotopes in time-dependent density-matrix formalism
• Fluctuations and Symmetry Energy in Nuclear Fragmentation Dynamics
• Symmetry Energy Effects on Fusion Cross Sections
• A new approach to solve the Boltzmann-Langevin equation for fermionic systems
• Dynamical effects in fusion with exotic nuclei
• Structure and direct decay of Giant Monopole Resonances
• Microscopic study of ${}^{40}$Ca+${}^{58,64}$Ni fusion reactions

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• Deformed shell effects in ${}^{48}$Ca+${}^{249}$Bk quasifission fragments
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• Microscopic predictions for production of neutron rich nuclei in the reaction ${}^{176}\mathbf{Yb}+{}^{176}\mathbf{Yb}$
• Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
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• Production mechanism of neutron-rich nuclei around $N=126$ in multi-nucleon transfer reaction ${}^{132}$Sn + ${}^{208}$Pb
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• Multi-nucleon transfer in ${}^{58}\text{Ni}+{}^{60}\text{Ni}$ and ${}^{60}\text{Ni}+{}^{60}\text{Ni}$ in stochastic mean-field approach
• Deep insight into charge equilibration and the effects on producing neutron-rich isotopes around N = 126 in the multinucleon transfer reactions
• Conditional recovery of time-reversal symmetry in many nucleus systems
• Shell Effects in Quasi-fission in Reactions Forming 226Th Compound Nucleus
• 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
• Role of charge equilibration in multinucleon transfer in damped collisions of heavy ions
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass
• Dynamic description of ternary and quaternary splits of heavy nuclear systems in the deep-inelastic regime
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• Nuclear structure and reaction with quantum shape fluctuation
• The Quest for Superheavy Nuclei: A Theoretical Perspective