Abstract
The influence of the state dependence of pairing matrix elements on deformation energies has been investigated. The prolate-oblate model was found to be too arbitrary for this purpose. Calculations using a δ-force show variations of the pairing energies of up to 1 MeV. The correlation between these matrix elements and a prolateness parameter has been investigated as well as the deformation dependence of some critical gaps in the actinides. Both the prolate-oblate model and the δ-force calculations yield the result that the oblate 1 2 [400] proton state should decouple as strongly as the 1 2 [501] neutron state. This finding offers a test for the prolate-oblate model. Finally, some remarks are made on BCS type calculations near the scission point where due to the increasing separation of the fragments the assumption of a constant pairing matrix element between all states becomes unphysical.
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