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Nuclear fission as resonance-mediated conductance

2014/07/07 by G. F. Bertsch, Bertsch, G. F.
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th

paper · pdf · doi:10.48550/arxiv.1407.1899

Version 3 is the same as version 2 except for the discussion of the fluctuations seen at 1 -25 keV above the neutron threshold, and the omission of the related Figure. The Python codes to create the data for the other figures are given in accompanying supplementary material

arxiv created 2014/12/18 · arxiv updated 2014/12/19

Abstract

For 75 years the theory of nuclear fission has been based on the existence of a collective coordinate associated with the nuclear shape, an assumption required by the Bohr-Wheeler formula as well as by the R-matrix theory of fission. We show that it is also possible to formulate the theory without the help of collective coordinates. In the new formulation, fission is facilitated by individual states in the barrier region rather than channels over the barrier. In a certain limit the theory reduces to a formula closely related to the formula for electronic conductance through resonant tunneling states. In contrast, conduction through channels gives rise to a staircase excitation function that is well-known in nanoscale electronics but has never been seen in nuclear fission.

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