STUDY OF THE MULTIDIMENSIONAL KRAMERS EQUATION

The position of saddle point and potential energy surface near the sad dle point are studied for a given fissioning system. Multidimensional inertia and viscosity tensors are calculated with both irrotational fl ow and Werner-Wheeler approximation, and the fission rate is calculate d with multidimensional Kramers formula. It is found that the fission rate increases reasonably with the number of dimensions considered and changes only slightly with the assumptions used in kinetic energy cal culations. The results of calculations indicate that a suitable three- dimensional calculation will be sufficient to yield accurate fission r ates.