Bochum 1998 – wissenschaftliches Programm
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HK: Hadronen und Kerne
HK 51: Spectroscopy VIII, Fission
HK 51.9: Gruppenbericht
Mittwoch, 18. März 1998, 16:00–16:30, E
Theory of pairing in cold fission — •Hans J. Krappe1 and Serguei Fadeev2 — 1Hahn-Meitner Institut Berlin, D-14091 Berlin — 2Nuclear Physics Department, State University, RU-198904 St. Petersburg
Along the path of cold fission one would construct the wave function for the fissioning system with pairing correlations by projecting the BCS wave function onto the total numbers of protons and neutrons in the parent system, but beyond scission on the two nucleon numbers in each fragment. We propose to interpolate between these limiting shapes by a generator-coordinate ansatz for the wave function with the nucleon-number differences between the nascent fragments as the generator coordinates. The ansatz is motivated by the gauge-symmetry properties of the fissioning system. We also define the space of collective states in which the system evolves in time. We present first results of a model calculation in the static Hill-Wheeler box with a δ-type diaphragm.