Density-constraint Time-dependent Hartree-Fock-Bogoliubov method

Abstract

Background: The Density-constraint Time-dependent Hartree-Fock method is currently the tool of choice to predict fusion cross-sections. However, it does not include pairing correlations, which have been found recently to play an important role. Purpose: To describe the fusion cross-section with a method that includes the superfluidity and to understand the impact of pairing on both the fusion barrier and cross-section. Method: The density-constraint method is tested first on the following reactions without pairing, ${}^{16}$O+${}^{16}$O and ${}^{40}$Ca+${}^{40}$Ca. A new method is developed, the Density-constraint Time-dependent Hartree-Fock-Bogoliubov method. Using the Gogny-TDHFB code, it is applied to the reactions ${}^{20}$O+${}^{20}$O and ${}^{44}$Ca+${}^{44}$Ca. Results: The Gogny approach for systems without pairing reproduces the experimental data well. The DC-TDHFB method is coherent with the TDHFB fusion threshold. The effect of the phase-lock mechanism is shown for those reactions. Conclusions: The DC-TDHFB method is a useful new tool to determine the fusion potential between superfluid systems and to deduce their fusion cross-sections.

arXiv comment8 pages, 11 figures

References in corpus (35)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Effect of pairing on one- and two-nucleon transfer below the Coulomb barrier: a time-dependent microscopic description
• Isovector Giant Dipole Resonance from the 3D Time-Dependent Density Functional Theory for Superfluid Nuclei
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Energy dependence of potential barriers and its effect on fusion cross-sections
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• Microscopic phase-space exploration modeling of ${}^{258}$Fm spontaneous fission
• Broyden's Method in Nuclear Structure Calculations
• Microscopic study of ${}^{16}$O+${}^{16}$O fusion
• Microscopic approach to coupled-channels effects on fusion
• Microscopic sub-barrier fusion calculations for the neutron star crust
• Novel Role of Superfluidity in Low-Energy Nuclear Reactions
• Density-constrained time-dependent Hartree-Fock calculation of ${}^{16}$O+${}^{208}$Pb fusion cross sections
• ${}^{64}$Ni+${}^{64}$Ni fusion reaction calculated with the density-constrained time-dependent Hartree-Fock formalism
• Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element
• Microscopic Study of the triple-$\alpha$ Reaction
• Dependence of fusion on isospin dynamics
• Collective aspects deduced from time-dependent microscopic mean-field with pairing: application to the fission process
• Study of ${}^{64}$Ni+${}^{132}$Sn Fusion with Density Constrained TDHF Formalism
• Dynamical deformation effects in subbarrier fusion of ${}^{64}$Ni+${}^{132}$Sn
• Time-dependent HF approach to SHE dynamics
• 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
• Sub-barrier enhancement of fusion as compared to a microscopic method in 18O+12C
• 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
• Microscopic description of pair transfer between two superfluid Fermi systems: combining phase-space averaging and combinatorial techniques
• Examining empirical evidence of the effect of superfluidity on the fusion barrier
• Solitonic excitations in collisions of superfluid nuclei: a qualitatively new phenomenon distinct from the Josephson effect
• Superfluid effects in collision between systems with small particle number
• Solitonic Excitations in Collisions Of Superfluid Nuclei
• Dynamic Microscopic Theory of Fusion Using DC-TDHF

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• Generation, dynamics, and correlations of the fission fragments' angular momenta
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Pauli energy contribution to nucleus-nucleus interaction
• Influence of additional neutrons on the fusion cross-section beyond the N=8 shell