Integral Kramers formula for the fission rate versus dynamical modeling: The case of deformation-dependent temperature

Journal Article · Fri Jul 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.84.014617· OSTI ID:21596597

Gontchar, I I; Kuzyakin, R A ^[1]

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1. Physics and Chemistry Department, Omsk State Transport University, Omsk 644046 (Russian Federation)

We have derived approximate analytical formulas describing the quasistationary fission rate of excited nuclei (the Kramers rates). These rates are compared with those resulting from dynamical modeling using the Smoluchowski equation (the dynamical rates). Contrary to the original Kramers approach, we have accounted for the microcanonical nature of the fission process. The influence of the potential at the scission point on the fission rates is also studied. Comparison with the dynamical rates enables us to define the accuracy of the Kramers rates in the wide range of the ratio of the fission barrier height B{sub f} to the temperature at the quasistationary state T{sub c} up to 16. These high values are not reachable within the traditional Langevin approach.

• OSTI ID: 21596597
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 84; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
APPROXIMATIONS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
DEFORMATION
ENERGY
EVALUATION
FISSION
FISSION BARRIER
KRAMERS THEOREM
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
POTENTIAL ENERGY
POTENTIALS
SIMULATION