Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element

Abstract

We develop a novel approach to fusion reactions for syntheses of superheavy elements, which combines the time-dependent Hartree-Fock (TDHF) method with a dynamical diffusion model based on the Langevin equation. In this approach, the distance of the closest approach for the capture process is estimated within the TDHF approach, which is then plugged into the dynamical diffusion model as an initial condition. We apply this approach to hot fusion reactions leading to formation of the element $Z=120$, that is, the ${}^{48}$Ca+${}^{254,257}$Fm, ${}^{51}$V+${}^{249}$Bk, and ${}^{54}$Cr+${}^{248}$Cm reactions. Our calculations indicate that the distances of the closest approach for these systems are similar to each other and thus the difference in the probabilities of evaporation residue formation among those reaction systems originates mainly from the evaporation process, which is sensitive to the fission barrier height and the excitation energy of a compound nucleus.

arXiv comment5 pages, 2 figures, 1 table; published in Physical Review C as a Rapid Communication with Editors' Suggestion

References in corpus (27)

• Quantum Tunneling in Nuclear Fusion
• Subbarrier fusion reactions and many-particle quantum tunneling
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Time-dependent density-functional description of nuclear dynamics
• New Result in the Production and Decay of an Isotope, 278[113], of the 113th Element
• 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
• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• Interplay between quantum shells and orientation in quasi-fission
• Predictions of the FBD model for the synthesis cross sections of Z = 114-120 elements based on macroscopic-microscopic fission barriers
• 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
• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Two-Step Model of Fusion for Synthesis of Superheavy Elements
• How the Pauli exclusion principle affects fusion of atomic nuclei
• Recent experimental results in sub- and near-barrier heavy ion fusion reactions
• Dissipative dynamics in quasi-fission
• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Novel Role of Superfluidity in Low-Energy Nuclear Reactions
• Microscopic description of production cross sections including deexcitation effects
• Diffusion over a saddle with a Langevin equation
• Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products
• Time-dependent HF approach to SHE dynamics
• Measurement of the Survival Probabilities for Hot Fusion Reactions
• Gauge angle dependence in TDHFB calculations of ${}^{20}$O + ${}^{20}$O head-on collisions with the Gogny interaction
• Hot fusion reactions with deformed nuclei for synthesis of superheavy nuclei: an extension of the fusion-by-diffusion model
• Microscopic Enhancement of Heavy-Element Production

Cited by in corpus (16)

• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Deformed shell effects in ${}^{48}$Ca+${}^{249}$Bk quasifission fragments
• Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
• Quasifission dynamics in microscopic theories
• Fusion cross section of the superheavy $Z$ = 120 nuclei within the relativistic mean-field formalism
• Impact of tensor force on quantum shell effects in quasifission reactions
• Impact of the initial fluctuations on the dissipative dynamics of interacting Fermi systems: A model case study
• Density-constraint Time-dependent Hartree-Fock-Bogoliubov method
• Microscopic study of the compound nucleus formation in cold-fusion reactions
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Reaction mechanism study for multinucleon transfer processes in collisions of spherical and deformed nuclei at energies near and above the Coulomb barrier: The ${}^{16}$O+${}^{154}$Sm reaction
• Description of the reactions 36S + 238U and 64Ni + 238U within the two-stage fusion-fission model
• Dynamical mechanism of fusion hindrance in heavy ion collisions
• Multi-body wave function of ground and low-lying excited states using unornamented deep neural networks
• Inertial energy dissipation in nuclear dynamics
• Microscopic quasifission dynamics of the ${}^{54}\text{Cr}+{}^{243}\text{Am}$ reaction