Two-Step Model of Fusion for Synthesis of Superheavy Elements

Abstract

A new model is proposed for fusion mechanisms of massive nuclear systems where so-called fusion hindrance exists. The model describes two-body collision processes in an approaching phase and shape evolutions of an amalgamated system into the compound nucleus formation. It is applied to ${}^{48}$Ca-induced reactions and is found to reproduce the experimental fusion cross sections extremely well, without any free parameter. Combined with the statistical decay theory, residue cross sections for the superheavy elements can be readily calculated. Examples are given.

4 pages, 4 figures

References in corpus (3)

• Nuclear Ground-State Masses and Deformations
• Shell Structure of the Superheavy Elements
• Semiempirical Shell Model Masses with Magic Number Z = 126 for Superheavy Elements

Cited by in corpus (30)

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• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Fusion-fission reactions with modified Woods-Saxon potential
• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• The production of unknown neutron-rich isotopes in ${}^{238}$U+${}^{238}$U collisions at near-barrier energy
• Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
• Particle transfer and fusion cross-section for Super-heavy nuclei in dinuclear system
• Hot fusion reactions with deformed nuclei for synthesis of superheavy nuclei: an extension of the fusion-by-diffusion model
• Deformation and orientation effects in the driving potential of the dinuclear model
• Quantum Statistical Effects on Fusion Dynamics of Heavy-Ions
• Quantum effect in the diffusion along a potential barrier: Comments on the synthesis of superheavy elements
• Modelling of compound nucleus formation in fusion of heavy nuclei
• Microscopic analysis of fusion hindrance in heavy systems
• Residue cross sections of ${}^{50}$Ti-induced fusion reactions based on the two-step model
• Quantum Monte-Carlo method applied to Non-Markovian barrier transmission
• Influence of microscopic transport coefficients on the formation probabilities for super-heavy elements
• KEWPIE: a dynamical cascade code for decaying exited compound nuclei
• Dynamical nucleus-nucleus potential at short distances
• Systematic study on probable projectile-target combinations for the synthesis of the ${}^{302}$120 superheavy nucleus
• Fusion Hindrance in the Heavy Ion Reactions -- Border Between the Normal and Hindered Fusions
• Energy-Dependence of Nucleus-Nucleus Potential and Friction Parameter in Fusion Reactions
• Analysis of the Fusion Hindrance in Mass-symmetric Heavy Ion Reactions
• Fusion and quasi-fission dynamics in nearly-symmetric reactions
• Production of super-heavy nuclei in cold fusion reactions
• Description of the reactions 36S + 238U and 64Ni + 238U within the two-stage fusion-fission model
• Mass parameters for relative and neck collective motions in heavy ion fusion reactions
• Reaction and fusion cross sections for the near-symmetric system ${}^{129}Xe{+}^{nat}Sn$ from $8$ to $35$ $AMeV$