Systematics of fusion probability in "hot" fusion reactions

Abstract

The fusion probability in "hot" fusion reactions leading to the synthesis of super-heavy nuclei is investigated systematically. The quasi-fission barrier influences the formation of the super-heavy nucleus around the "island of stability" in addition to the shell correction. Based on the quasi-fission barrier height obtained with the Skyrme energy-density functional, we propose an analytical expression for the description of the fusion probability, with which the measured evaporation residual cross sections can be reproduced acceptably well. Simultaneously, some special fusion reactions for synthesizing new elements 119 and 120 are studied. The predicted evaporation residual cross sections for 50Ti+249Bk are about 10-150fb at energies around the entrance-channel Coulomb barrier. For the fusion reactions synthesizing element 120 with projectiles 54Cr and 58Fe, the cross sections fall to a few femtobarns which seems beyond the limit of the available facilities.

5 figures, 1 table

References in corpus (5)

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Cited by in corpus (23)

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• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Systematic study of $\alpha$ decay for isomer related nuclei within a two-potential approach
• Analysis of the fusion mechanism in synthesis superheavy element 119 via ${}^{54}$Cr+${}^{243}$Am reaction
• An experimentalist's view of the uncertainties in understanding heavy element synthesis
• Microscopic dynamics simulations of heavy-ion fusion reactions induced by neutron-rich nuclei
• Systematic study of shell gaps in nuclei
• Residue cross sections of ${}^{50}$Ti-induced fusion reactions based on the two-step model
• Dynamical nucleus-nucleus potential and incompressibility of nuclear matter
• Calculations of the cross sections for synthesis of new {293-296}118 isotopes in {249-252}Cf(48Ca,xn) reactions
• 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
• Uncertainties and understanding of experimental and theoretical results regarding reactions forming heavy and superheavy nuclei
• Systematic study on probable projectile-target combinations for the synthesis of the ${}^{302}$120 superheavy nucleus
• Fusion and quasi-fission dynamics in nearly-symmetric reactions
• Production of proton-rich nuclei around Z=84-90 in fusion-evaporation reactions
• An improved nuclear mass formula: WS3
• Distinguishing fission-like events from deep-inelastic collisions
• Significance of the compound nucleus surface energy coefficients in the synthesis of the superheavy nuclei with $\text{Z=112-120}$
• Fission barriers with Weizsäcker-Skyrme mass model
• Effects of entrance channel on fusion probability in hot fusion reactions
• Investigation of the formation of superheavy elements with atomic numbers 116 and 120 through ${}^{50}$Ti-induced reaction