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

Two actinide isotopes, ${}^{241}$Am and ${}^{244}$Cm, produced and chemically purified by the HFIR/REDC complex at ORNL are candidates for target materials of heavy-ion fusion reaction experiments for the synthesis of new superheavy elements (SHEs) with $Z>118$. In the framework of the dinuclear system model with a dynamical potential energy surface (DNS-DyPES model), we systematically study the ${}^{48}$Ca-induced reactions that have been applied to synthesize SHEs with $Z=112$–118, as well as the hot-fusion reactions with ${}^{241}$Am and ${}^{244}$Cm as targets which are promising for synthesizing new SHEs with $Z=119$–122. Detailed results including the maximal evaporation residue cross section and the optimal incident energy for each reaction are presented and discussed.