Hot fusion reactions with deformed nuclei for synthesis of superheavy nuclei: an extension of the fusion-by-diffusion model

Abstract

The fusion-by-diffusion model proposed by Swiatecki {\it et al.} [Phys. Rev. C71, 014602 (2005)] has provided a simple and convenient tool to estimate evaporation residue cross sections for superheavy nuclei. I extend this model by taking into account deformation of the target nucleus, and discuss the role of orientation of deformed target in hot fusion reactions at energies around the Coulomb barrier. To this end, I introduce an injection point for the diffusion process over an inner barrier which depends on the orientation angle. I apply this model to the ${}^{48}$Ca+${}^{248}$Cm reaction and show that the maximum of evaporation residue cross section appears at an energy slightly above the height of the capture barrier for the side collision, for which the effective inner barrier is considerably lower than that for the tip collision, thus enhancing the diffusion probability. I also discuss the energy dependence of the injection point, and show that a large part of the energy dependence found in the previous analyses can be attributed to the deformation effect of a target nucleus.

12 pages, 6 figures

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Cited by in corpus (9)

• Coupled-channels calculations for nuclear reactions: from exotic nuclei to superheavy elements
• Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the $Z=120$ superheavy element
• Examination of promising reactions with ${}^{241}$Am and ${}^{244}$Cm targets for the synthesis of new superheavy elements within the dinuclear system model with a dynamical potential energy surface
• Microscopic study of the compound nucleus formation in cold-fusion reactions
• Fusion reaction of a weakly-bound nucleus with a deformed target
• Subbarrier fusion reactions of an aligned deformed nucleus
• Production of super-heavy nuclei in cold fusion reactions
• Significance of the compound nucleus surface energy coefficients in the synthesis of the superheavy nuclei with $\text{Z=112-120}$
• Probability for synthesis of superheavy nuclei with Z=121