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

TL;DR

This paper systematically studies $^{50}$Ti-induced fusion reactions for superheavy element synthesis using a two-step model, evaluating residue cross sections across neutron channels, and finds that these cross sections are smaller than $^{48}$Ca reactions but detectable.

Contribution

It introduces a two-step model for $^{50}$Ti fusion reactions and evaluates residue cross sections, providing new insights into superheavy element production feasibility.

Findings

Calculated cross sections are smaller than $^{48}$Ca reactions.

Maximum residue cross section for Z=119 is 0.043 pb.

Results are within current experimental detection capabilities.

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 $\sigma_{\rm res}(3n)=0.043$ pb at $E^{*}$ = 37.0 MeV.