Expectations and limits to synthesize nuclei with Z ≥ 120

In order to explore the possibilities to synthesize the new superheavy elements with Z=120, 122, 124, 126 some hot-fusion (mass asymmetric) reactions and cold-fusion (less mass asymmetric) reactions are studied. The dynamics of reaction with massive nuclei and the formation probability of heavy and superheavy elements with Z=90-126 in the asymmetric and symmetric reactions are discussed. The systematics of fusion probability P_CN and evaporation residue cross section σ_ER in these reactions are presented. Moreover, we explore the possibility of synthesis of superheavy nuclei by the use of reaction with the neutron rich radioactive beam ¹³2^Sn, and by symmetric reactions like ¹³⁶Xe+¹³⁶Xe and ^139,149La+ ^139,149La. (author)