Theoretical analysis of element 120 synthesized in the 58Fe+244Pu hot fusion reaction

Synthesis of element 120 in the Fe-58 + Pu-244 hot fusion reaction has been evaluated by means of a modified fusion by diffusion (FBD) model. In the model, dynamic evolution from dinucleus to mononucleus is taken into account with the two-dimensional coupled Langenvin equations. The calculated maximum evaporation residue cross sections in 3n- and 4n-evaporation channels of Fe-58 + Pu-244 reaction are 0.005 and 0.016 pb, which are far below the present experimental sensitivity for the detection of one decay. The fusion probability calculated with the modified FBD model clearly shows that fusion of the heavy system Fe-58 + Pu-244 is severely hindered.