Disentangling effects of potential shape in the fission rate of heated nuclei

We have compared the results of dynamical modeling of the fission process with predictions of the Kramers formulas. For the case of large dissipation, there are two of them: the integral rate R{sub I} and its approximation R{sub O}. As the ratio of the fission barrier height B{sub f} to the temperat...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2010-12, Vol.82 (6), Article 064606
Main Authors: Gontchar, I. I., Chushnyakova, M. V., Aktaev, N. E., Litnevsky, A. L., Pavlova, E. G.
Format: Article
Language:English
Subjects:
APPROXIMATIONS
CALCULATION METHODS
ENERGY
FISSION
FISSION BARRIER
FORECASTING
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
POTENTIAL ENERGY
POTENTIALS
SIMULATION
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Summary:We have compared the results of dynamical modeling of the fission process with predictions of the Kramers formulas. For the case of large dissipation, there are two of them: the integral rate R{sub I} and its approximation R{sub O}. As the ratio of the fission barrier height B{sub f} to the temperature T reaches 4, any analytical rate is expected to agree with the dynamical quasistationary rate R{sub D} within 2%. The latter has been obtained using numerical modeling with six different potentials. It has been found that the difference between R{sub O} and R{sub D} sometimes exceeds 20%. The features of the potentials used that are responsible for this disagreement are identified and studied. It is demonstrated that it is R{sub I}, not R{sub O}, that meets this expectation regardless of the potential used.
ISSN:0556-2813
1089-490X
DOI:10.1103/PhysRevC.82.064606