Residue cross sections of ${}^{50}$Ti-induced fusion reactions based on the two-step model

Abstract

${}^{50}$Ti-induced fusion reactions to synthesize superheavy elements are studied systematically with the two-step model developed recently, where fusion process is divided into approaching phase and formation phase. Furthermore, the residue cross sections for different neutron evaporation channels are evaluated with the statistical evaporation model. In general, the calculated cross sections are much smaller than that of ${}^{48}$Ca-induced fusion reactions, but the results are within the detection capability of experimental facilities nowadays. The maximum calculated residue cross section for producing superheavy element $Z=119$ is in the reaction ${}^{50}$Ti+${}^{247}$Bk in $3n$ channels with ${\sigma }_{\mathrm{res}}(3n)=0.043$ pb at $E^{\ast }$ = 37.0 MeV.

6 pages, 7 figures

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Cited by in corpus (5)

• 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
• Modeling survival probabilities of superheavy nuclei at high excitations
• Significance of the compound nucleus surface energy coefficients in the synthesis of the superheavy nuclei with $\text{Z=112-120}$
• Investigation of the formation of superheavy elements with atomic numbers 116 and 120 through ${}^{50}$Ti-induced reaction
• Probability for synthesis of superheavy nuclei with Z=121