Production of super-heavy nuclei in cold fusion reactions

Abstract

The model for the cold-fusion reactions related to the synthesis of super-heavy nuclei in collisions of heavy projectile-nuclei with ${}^{208}$Pb target nucleus is discussed. In the framework of this model the production of the compound nucleus by two paths through, the di-nuclear system and the fusion way, are taken into account simultaneously. The formation of the compound nucleus in the framework of the di-nuclear system is related to the transfer of nucleons from the light nucleus to the heavy one. The fusion way is linked to the sequential evolution of the nuclear shape from the system of contacting nuclei to the compound nucleus. It is shown that the compound nucleus is mainly formed by the fusion way in the cold-fusion reactions. The landscape of the potential energy related to the fusion path is discussed in detail. This landscape for very heavy nucleus-nucleus systems has the intermediate state, which is linked to the formation of both the compound nucleus and the quasi-fission fragments. The decay of the intermediate state is taken into account in the calculation of the compound nucleus production cross sections and the quasi-fission cross sections. The values of the cold-fusion cross sections obtained in the model are well agreed with the experimental data.

arXiv comment23 pages, 10 figures, 5 tables. To be published in Chinese Physics C

References in corpus (31)

• Nuclear ground-state masses and deformations: FRDM(2012)
• Tables of E2 Transition Probabilities from the first $2^{+}$ States in Even-Even Nuclei
• Phenomenology of Forward Hadrons in DIS: Fracture Functions and its $Q^2$ Evolution
• Synthesis of superheavies: State of affairs and outlooks
• Fusion cross sections for superheavy nuclei in the dinuclear system concept
• Isotopic dependence of fusion cross sections in reactions with heavy nuclei
• Fission barriers of neutron-rich and superheavy nuclei calculated with the ETFSI method
• Fission half-lives of super-heavy nuclei in a microscopic approach
• Fission barriers in covariant density functional theory: extrapolation to superheavy nuclei
• Formation of superheavy nuclei in cold fusion reactions
• Analytical parametrization of fusion barriers using proximity potentials
• Fission Barriers of Compound Superheavy Nuclei
• Two-Step Model of Fusion for Synthesis of Superheavy Elements
• Recent experimental results in sub- and near-barrier heavy ion fusion reactions
• Adiabatic fission barriers in superheavy nuclei
• Cluster Radioactivity in Super Heavy Nuclei
• Dynamical approach to heavy-ion induced fission using actinide target nuclei at energies around the Coulomb barrier
• Assessing theoretical uncertainties in fission barriers of superheavy nuclei
• Systematic Study of Fission Barriers of Excited Superheavy Nuclei
• Time-dependent HF approach to SHE dynamics
• Nucleus-nucleus potential with shell-correction contribution
• Melting or nucleon transfer in fusion of heavy nuclei?
• An experimentalist's view of the uncertainties in understanding heavy element synthesis
• Hot fusion reactions with deformed nuclei for synthesis of superheavy nuclei: an extension of the fusion-by-diffusion model
• Thermal fission rates with temperature dependent fission barriers
• Modelling of compound nucleus formation in fusion of heavy nuclei
• Two-body dissipation effects on synthesis of superheavy elements
• Microscopic Enhancement of Heavy-Element Production
• Synthesis of transactinide nuclei in cold fusion reactions using radioative beams
• Uncertainties and understanding of experimental and theoretical results regarding reactions forming heavy and superheavy nuclei
• Description of the reactions 36S + 238U and 64Ni + 238U within the two-stage fusion-fission model