Abstract
An improved version of the two-center shell model based on a double harmonic potential is described. More realistic dependencies of the generalized angular momentum operators associated with the nuclear shape parameterization are determined and presented in detail. The amelioration produced by this better description is underlined by quantifying the effects on the potential energy surface in the fission processes. For this purpose, a nuclear shape parameterization characterized by the most important macroscopic degrees of freedom, namely elongation, necking-in and mass asymmetry, is used. The mathematical details are presented together with the solvable matrix elements.
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