Abstract
A microscopic potential is derived in correlation with the necking region within the fission-like shape on the basis of potential theory. The whole microscopic potential is of the two-center type, yielding the evolution of proton and neutron level schemes from one parent to two completely separated fragment nuclei. The shell corrections are calculated by using the smoothed necked in single-particle levels. The total deformation energy is obtained from the macroscopic-microscopic method. As an application, a dynamic calculation is performed for the fission of $^{236}\mathrm{Pu}$, by using the multidimensional minimization within the total space of deformation of two spheroids joined by a smoothed necking region.
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