Production of superheavy nuclei in hot-fusion reactions

A model for hot-fusion reactions leading to the synthesis of superheavy nuclei is discussed. The values of the hot-fusion cross sections obtained in the model agree with the available experimental data. The hot-fusion cross sections are found for two different models of the fission barrier heights of superheavy nuclei. The calculations of the cross sections for the various hot-fusion reactions leading to the 119 and 120 elements are presented. Simple expressions useful for qualitative analysis of the cross section for forming superheavy nuclei are obtained. It is shown that the superheavy nuclei production cross section is proportional to the transmission coefficient of the capture barrier, realization probability of the xn-evaporation channel, and exponentially depends on the quasielastic barrier, fusion reaction Q value, compound nucleus formation barrier, neutron separation energies, and fission barrier heights.