Microscopic study of the compound nucleus formation in cold-fusion reactions

Abstract

The understanding of the fusion probability is of particular importance to reveal the mechanism of producing superheavy elements. We present a microscopic study of the compound nucleus formation by combining time-dependent density functional theory, coupled-channels approach, and dynamical diffusion models. The fusion probability and compound nucleus formation cross sections for cold-fusion reactions ${}^{48}$Ca+${}^{208}$Pb, ${}^{50}$Ti+${}^{208}$Pb, and ${}^{54}$Cr+${}^{208}$Pb are investigated and it is found that the deduced capture barriers, capture cross sections for these reactions are consistent with experimental data. Above the capture barrier, our calculations reproduce the measured fusion probability reasonably well. Our studies demonstrate that the restrictions from the microscopic dynamic theory improve the predictive power of the coupled-channels and diffusion calculations.

arXiv comment9 pages, 4 figures

References in corpus (42)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Subbarrier fusion reactions and many-particle quantum tunneling
• Synthesis of superheavies: State of affairs and outlooks
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Time-dependent density-functional description of nuclear dynamics
• The TDHF Code Sky3D
• 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
• Treatment of competition between complete fusion and quasifission in collisions of heavy nuclei
• Theoretical study of the synthesis of superheavy nuclei with Z= 119 and 120 in heavy-ion reactions with trans-uranium targets
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• 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
• 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
• How the Pauli exclusion principle affects fusion of atomic nuclei
• Dissipative dynamics in quasi-fission
• Properties of heaviest nuclei with $98\le Z\le 126$ and $134\le N\le 192$
• Entrance Channel Dynamics of Hot and Cold Fusion Reactions Leading to Superheavy Elements
• Microscopic study of ${}^{16}$O+${}^{16}$O fusion
• Microscopic approach to coupled-channels effects on fusion
• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Shape evolution and collective dynamics of quasifission in TDHF
• Non-Gaussian Fluctuation and Non-Markovian Effect in the Nuclear Fusion Process: Langevin Dynamics Emerging from Quantum Molecular Dynamics Simulations
• Microscopic studies of production cross sections in multinucleon transfer reaction ${}^{58}$Ni+${}^{124}$Sn
• Reduced quasifission competition in fusion reactions forming neutron-rich heavy elements
• Systematics of capture and fusion dynamics in heavy-ion collisions
• The Role of Tensor Force in Heavy-Ion Fusion Dynamics
• ${}^{64}$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
• Applications of Skyrme energy-density functional to fusion reactions for synthesis of superheavy nuclei
• Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
• Hot fusion reactions with deformed nuclei for synthesis of superheavy nuclei: an extension of the fusion-by-diffusion model
• The influence of tensor force on the microscopic heavy-ion interaction potential
• Microscopic analysis of fusion hindrance in heavy systems
• Calculations of the cross sections for synthesis of new {293-296}118 isotopes in {249-252}Cf(48Ca,xn) reactions
• Influence of the tensor interaction on heavy-ion fusion cross sections
• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Diffusion as a possible mechanism controlling the production of superheavy nuclei in cold fusion reactions

Cited by in corpus (5)

• Impact of tensor force on quantum shell effects in quasifission reactions
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• Impact of octupole correlation on the inverse quasifission in ${}^{160}\text{Gd}+{}^{186}\text{W}$ collisions
• Microscopic quasifission dynamics of the ${}^{54}\text{Cr}+{}^{243}\text{Am}$ reaction
• The Quest for Superheavy Nuclei: A Theoretical Perspective