Influence of proton shell closure on the evaporation residue cross sections of superheavy nuclei

Within the dinuclear system model we systematically calculate the evaporation residue cross sections (ERCSs) of superheavy nuclei (SHN) for the Ca-48-induced hot fusion reactions. Different calculations of the fission barriers of the SHN are used. The difference is as large as two orders of magnitude of ERCSs by applying the various fission barriers for the reaction Ca-48+Cf-249. The dependence of the calculated ERCSs on the predicted shell structure and magic numbers of the heavier SHN is discussed. It is found that the structure of SHN crucially influences the ERCSs. Measurement of ERCSs for at least one isotope of the Z > 118 nucleus would help us to set a proper shell model for the SHN with Z > 118.