Transfer probabilities for the reactions ${}^{14,20}$O+${}^{20}$O in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories

Abstract

The transfer reaction between two nuclei in the superfluid phase is studied with the Time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. In order to restore the symmetry of the relative gauge angle a set of independent TDHFB evolutions is done. Then the transfer probability is computed using a triple projection method. This method is first tested to determine the transfer probabilities on a toy model and compared to the exact solution. It is then applied to the reactions ${}^{20}$O+${}^{20}$O and ${}^{14}$O+${}^{20}$O in a realistic framework with a Gogny interaction.

arXiv comment6 figures, 6 pages

References in corpus (30)

• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in 238U
• 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
• 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
• Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations
• Effect of pairing on one- and two-nucleon transfer below the Coulomb barrier: a time-dependent microscopic description
• Fission fragment charge and mass distributions in 239Pu(n,f) in the adiabatic nuclear energy density functional theory
• A Stochastic Mean-Field Approach For Nuclear Dynamics
• Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
• Particle number fluctuations and correlations in transfer reactions obtained using the Balian-Vénéroni variational principle
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Microscopic phase-space exploration modeling of ${}^{258}$Fm spontaneous fission
• Symmetry restoration in Hartree-Fock-Bogoliubov based theories
• Shape evolution and collective dynamics of quasifission in TDHF
• Fluctuation and dissipation dynamics in fusion reactions from stochastic mean-field approach
• Novel Role of Superfluidity in Low-Energy Nuclear Reactions
• Mass dispersion in transfer reactions with a stochastic mean-field theory
• Systematic investigation of low-lying dipole modes using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory
• Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products
• Dynamical deformation effects in subbarrier fusion of ${}^{64}$Ni+${}^{132}$Sn
• Fission dynamics of ${}^{252}$Cf
• Linear Responses in Time-dependent Hartree-Fock-Bogoliubov Method with Gogny Interaction
• Gauge angle dependence in TDHFB calculations of ${}^{20}$O + ${}^{20}$O head-on collisions with the Gogny interaction
• On nucleon exchange mechanism in heavy-ion collisions at near-barrier energies
• Mass dispersions from giant dipole resonances using the Balian-Veneroni variational approach
• Dynamics of Fragmented Condensates and Macroscopic Entanglement
• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
• 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
• Enhancement factor for two-neutron transfer reactions with a schematic coupled-channels model

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• Angular Momentum of Fission Fragments from Microscopic Theory
• 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
• Quasifission dynamics in microscopic theories
• Fission of ${}^{240}$Pu with symmetry-restored density functional theory
• Microscopic description of pair transfer between two superfluid systems (II): a quantum mixing of Time-Dependent Hartree-Fock Bogolyubov trajectories
• Multi-nucleon transfer in ${}^{58}\text{Ni}+{}^{60}\text{Ni}$ and ${}^{60}\text{Ni}+{}^{60}\text{Ni}$ in stochastic mean-field approach
• Coordinate-space solver for finite-temperature Hartree-Fock-Bogoliubov calculation using the shifted Krylov method
• Microscopic description of pair transfer between two superfluid Fermi systems: combining phase-space averaging and combinatorial techniques
• Density-constraint Time-dependent Hartree-Fock-Bogoliubov method
• Examining empirical evidence of the effect of superfluidity on the fusion barrier
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• An implementation of nuclear time-dependent density-functional theory and its application to the nuclear isovector electric dipole resonance
• Comparative study of the requantization of the time-dependent mean field for the dynamics of nuclear pairing