Abstract
We report on a new microscopic model for the description of nucleus-nucleus collisions. Our method is based on a kinematical transformation to symmetrical coordinates, which at the same time describe the relative motion in all different two-body partitions of the A-nucleon system. Thereby the treatment of antisymmetrization and rearrangement collisions becomes trivial from the kinematical point of view. The fully antisymmetrized Schrödinger equation for nucleus-nucleus scattering is explicitly transformed to symmetrical coordinates. It contains no non-local potentials for the relative motion even in the region of deep interpenetration and provides a basis for the application of the two center shell model (TCSM) to the description of nucleus-nucleus collisions. The price to be paid for this simplification is the occurence of a coupling between relative and internal motion. Numerical estimates indicate that the effects of this coupling as well as errors inherent in the phenomenological TCSM will often be small in the outer interaction region, where quasielastic reactions proceed.
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