Quantal Nucleon Diffusion I: Central Collisions of Symmetric Nuclei

Abstract

Quantal diffusion mechanism of nucleon exchange is studied in the central collisions of several symmetric heavy-ion collisions in the framework of the Stochastic Mean-Field (SMF) approach. Since at bombarding energies below the fusion barrier, di-nuclear structure is maintained, it is possible to describe nucleon exchange as a diffusion process familiar from deep-inelastic collisions. Quantal diffusion coefficients, including memory effects, for proton and neutron exchanges are extracted microscopically employing the SMF approach. The quantal calculations of neutron and proton variances are compared with the semi-classical results.

arXiv comment9 pages, 4 figures

References in corpus (22)

• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Interplay between quantum shells and orientation in quasi-fission
• A Stochastic Mean-Field Approach For Nuclear Dynamics
• Particle number fluctuations and correlations in transfer reactions obtained using the Balian-Vénéroni variational principle
• Stochastic quantum dynamics beyond mean-field
• Dissipative dynamics in quasi-fission
• Quasifission and fusion-fission in massive nuclei reactions. Comparison of reactions leading to the Z=120 element
• Shape evolution and collective dynamics of quasifission in TDHF
• Fluctuation and dissipation dynamics in fusion reactions from stochastic mean-field approach
• Production of heavy and superheavy nuclei in massive fusion reactions
• Mass dispersion in transfer reactions with a stochastic mean-field theory
• Time-dependent HF approach to SHE dynamics
• Quadrupole resonances in unstable oxygen isotopes in time-dependent density-matrix formalism
• On nucleon exchange mechanism in heavy-ion collisions at near-barrier energies
• Symmetry Energy Effects on Fusion Cross Sections
• Symmetry breaking and fluctuations within stochastic mean-field dynamics: importance of initial quantum fluctuations
• Mass dispersions from giant dipole resonances using the Balian-Veneroni variational approach
• Multi-Nucleon Exchange in Quasi-Fission Reactions
• Nucleon exchange in heavy-ion collisions within stochastic mean-field approach
• Quantal description of nucleon exchange in stochastic mean-field approach

Cited by in corpus (14)

• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Quantal Diffusion Description of Multi-Nucleon Transfers in Heavy-Ion Collisions
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Deformed shell effects in ${}^{48}$Ca+${}^{249}$Bk quasifission fragments
• Multi-Nucleon Transfer in Central Collisions of ${}^{238}$U + ${}^{238}$U
• Microscopic predictions for production of neutron rich nuclei in the reaction ${}^{176}\mathbf{Yb}+{}^{176}\mathbf{Yb}$
• Quasifission dynamics in microscopic theories
• Kinetic energy dissipation and fluctuations in strongly-damped heavy-ion collisions within the stochastic mean-field approach
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Combining phase-space and time-dependent reduced density matrix approach to describe the dynamics of interacting fermions
• Time-dependent mean-field investigations of the quasifission process