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Title: Precision of approximate Kramers formulas for the nuclear-fission rate in the presence of shell corrections

The precision of approximate Kramers formulas for the nuclear-fission rate in the presence of shell corrections in a quasistationary state is studied. The rates in question obtained analytically are compared with their numerical counterparts resulting from a dynamical simulation based on the Smoluchowski equation. It is shown that the integral Kramers formula is applicable even in the presence of shell corrections. As the excitation energy of the nucleus being considered decreases, the inaccuracy of this formula decreases monotonically, reaching 2% (inaccuracy of the dynamical simulation) in which case the dimensionless controlling parameter (entropy barrier) becomes greater than four. At small and intermediate values of this parameter, the accuracy of the integral Kramers formula is higher than the accuracy of the approximate Kramers formula obtained from it.
Authors:
;  [1]
  1. Omsk State Transport University (Russian Federation)
Publication Date:
OSTI Identifier:
22472354
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 78; Journal Issue: 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; APPROXIMATIONS; COMPARATIVE EVALUATIONS; CORRECTIONS; ENTROPY; EXCITATION; FISSION; NUCLEI; SHELL MODELS