Five-dimensional Langevin approach to fission using Cassini shape parameterization

Kazuki Okada (Department of Pure and Applied Physics, Kansai University, Japan)

The dynamical approach using the multidimensional Langevin equation has been widely used in the study of nuclear fission. In this approach, the nuclear shape is represented by a small number of shape parameters, and the fission process is described by the Langevin equation as the time evolution of the shape parameters. The Cassini shape parameterization has been applied in the static approach to fission. For example, it has been successfully applied to the study of the pre-scission shapes of actinide and superheavy nuclei. In contrast, we have applied it to dynamical simulations of the fission process using the Langevin method. To represent various fission modes, we solved the five-dimensional Langevin equation with five Cassini parameters as the shape degrees of freedom. In this talk, we will report results for actinide fission of uranium and fermion. We also mention super-heavy nuclear fission. We consider that the shape description by the five Cassini parameters is effective in the study of super-heavy nuclei.