Gauge angle dependence in TDHFB calculations of ${}^{20}$O + ${}^{20}$O head-on collisions with the Gogny interaction

Abstract

A numerical method to solve the TDHFB equations by using a hybrid basis of the two-dimensional harmonic oscillator eigenfunctions and one-dimensional Lagrange mesh with the Gogny effective interaction is applied to the head-on collisions of the superfluid nuclei ${}^{20}$O's. Taking the energies around the barrier top energy, the trajectories, pairing energies, and numbers of transferred nucleons are displayed. Their dependence on the relative gauge angle at the initial time is studied by taking typical sample points of the gauge angle. It turned out that the functional form of the flux of the neutrons across a section plane is proportional to the sine of the two times of the gauge angle.

11 pages, 18 figures

References in corpus (8)

• Induced Fission of ${}^{240}$Pu within a Real-Time Microscopic Framework
• Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique
• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• A new inverse quasifission mechanism to produce neutron-rich transfermium nuclei
• Microscopic Calculation of Pre-Compound Excitation Energies for Heavy-Ion Collisions
• Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products

Cited by in corpus (32)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Future of Nuclear Fission Theory
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Novel Role of Superfluidity in Low-Energy Nuclear Reactions
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Microscopic description of production cross sections including deexcitation effects
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• Nuclear energy density functionals from machine learning
• Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Dynamical effects in fusion with exotic nuclei
• Transfer probabilities for the reactions ${}^{14,20}$O+${}^{20}$O in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories
• Dynamics of Fragmented Condensates and Macroscopic Entanglement
• Microscopic description of pair transfer between two superfluid systems (II): a quantum mixing of Time-Dependent Hartree-Fock Bogolyubov trajectories
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Density-constraint Time-dependent Hartree-Fock-Bogoliubov method
• Microscopic description of pair transfer between two superfluid Fermi systems: combining phase-space averaging and combinatorial techniques
• Pairing dynamics and solitonic excitations in collisions of medium-mass, identical nuclei
• Examining empirical evidence of the effect of superfluidity on the fusion barrier
• 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)
• TDHF and a macroscopic aspect of low-energy nuclear reactions
• Solitonic excitations in collisions of superfluid nuclei: a qualitatively new phenomenon distinct from the Josephson effect
• An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance
• Local alpha-removal strength in the mean-field approximation
• Microscopic Study of Spin Transfer in Near-Barrier Nuclear Reactions
• Counting statistics in finite Fermi systems: illustrations with the atomic nucleus
• 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
• Superfluid effects in collision between systems with small particle number
• The Quest for Superheavy Nuclei: A Theoretical Perspective