, Volume 251, Issue 5, pp 431-457

The asymmetrie two center shell model

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Abstract

The previously developed two center shell model for symmetric fission has been extended to break-ups into unequal fragments. The potentials of the separate fragments have equal depth. The rounded barrier between them can have varying height. The two fragments can also have different deformations. Generalizedl ·s- andl 2-terms are included. This allows for the description of a great variety of nuclear shapes. The mathematical details are presented together with the analytically solvable matrix elements. For a few asymmetric fission processes the level spectra have been calculated.

This work has been supported by the Bundesministerium für Bildung und Wissenschaft and by the Deutsche Forschungsgemeinschaft.
We acknowledge fruitful discussion with K. Albrecht, W. Fabian and T. Morovic.