We describe the evolution of the compact system formed by the touching of two colliding ions in reactions ${}^{58}\text{Fe}+{}^{248}\text{Cm}\to {}^{306-x}122+xn,{}^{64}\text{Ni}+{}^{244}\text{Pu}\to {}^{308-x}122+xn$, and ${}^{90}\text{Zr}+{}^{208}\text{Pb}\to {}^{298-x}122+xn$. The description is carried out within the dynamical multidimensional stochastic approach, based on Langevin equations for the shape degrees of freedom of colliding ions and the compact system. For the approach stage we take into account the shell structure of colliding ions, their orientation in the space, and the effect of tunneling of ions through the Coulomb barrier. By describing the evolution of the compact system formed after the touching of incident ions, the shell structure of the compact system is also taken into account. Within this approach we have calculated the compound nucleus and evaporation residue formation cross sections. These can be compared with the experimental data. We have also clarified the impact of the tunneling effect in the entrance channel on the fusion and evaporation residue cross sections.

• Received 7 December 2015

DOI:https://doi.org/10.1103/PhysRevC.93.064606