Theoretical study of the synthesis of superheavy nuclei with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Z</mml:mi><mml:mo>=</mml:mo><mml:mn>119</mml:mn></mml:mrow></mml:math>and 120 in heavy-ion reactions with trans-uranium targets

By using a newly developed dinuclear system model with a dynamical potential energy surface---the DNS-DyPES model---hot fusion reactions for synthesizing superheavy nuclei (SHN) with charge numbers $Z$ = 112--120 are studied. The calculated evaporation residue cross sections are in good agreement with available data. In the reaction ${}^{50}$Ti+${}^{249}$Bk ${\ensuremath{\rightarrow}}^{\phantom{\rule{4pt}{0ex}}299\text{--}x}$119 $+\phantom{\rule{4pt}{0ex}}x$$n$, the maximal evaporation-residue (ER) cross section is found to be about 0.11 pb for the 4$n$-emission channel. For projectile-target combinations producing SHN with $Z=120$, the ER cross section increases as the mass asymmetry in the incident channel increases. The maximal ER cross sections for ${}^{58}$Fe+${}^{244}$Pu and ${}^{54}$Cr+${}^{248}$Cm are relatively small (less than 0.01 pb) and those for ${}^{50}$Ti+${}^{249}$Cf and ${}^{50}$Ti+${}^{251}$Cf are about 0.05 and 0.25 pb, respectively.

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