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

K. Hagino
Phys. Rev. C 98, 014607 – Published 13 July 2018

Abstract

The fusion-by-diffusion model proposed by Swiatecki et al. [Phys. Rev. C 71, 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 a 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 Ca48+Cm248 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.

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  • Received 5 March 2018
  • Revised 24 May 2018

DOI:https://doi.org/10.1103/PhysRevC.98.014607

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

K. Hagino

  • Department of Physics, Tohoku University, Sendai 980-8578, Japan and Research Center for Electron Photon Science, Tohoku University, 1-2-1 Mikamine, Sendai 982-0826, Japan

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Issue

Vol. 98, Iss. 1 — July 2018

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