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We have decomposed to symmetric and asymmetric modes the mass-TKE fissionfragment distributions calculated by 4-dimensional Langevin approach andobserved how the dominant fission mode and symmetric mode change as functionsof $Z^2/\sqrt[3]{A}$ of the fissioning system in the actinides andtrans-actinide region. As a result, we found that the symmetric mode makes asudden transition from super-long to super short fission mode around$^{254}$Es. The dominant fission modes on the other hand, are persistentlyasymmetric except for $^{258}$Fm, $^{259}$Fm and $^{260}$Md when the dominantfission mode suddenly becomes symmetric although it returns to the asymmetricmode around $^{256}$No. These correlated "twin transitions" have been knownempirically by Darleane Hoffman and her group back in 1989, but for the firsttime we have given a clear explanation in terms of a dynamical model of nuclearfission. More specifically, since we kept the shape model parameters unchangedover the entire mass region, we conclude that the correlated twin transitionemerge naturally from the dynamics in 4-D potential energy surface.

Correlated transitions in TKE and mass distributions of fission fragments described by 4-D Langevin equation