Microscopic necking potential for binary processes

A specialized potential is derived from the potential theory using an oscillator type force as being responsible for the confining of the nucleons into the necking region. The necking potential perfectly reproduces the concave smoothing surface which ensures shape continuity from one spheroidal fragment to the other. It also introduces a new degree of freedom as the radius of the neck generating sphere. Single particle levels are obtained for different neck radii and their influence on the proton and neutron shell corrections is calculated. (author)