Rate of excited-nucleus fission within a multidimensional stochastic approach

Journal Article · Tue Dec 15 04:00:00 EST 2009 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778809120035· OSTI ID:21448984

Gegechkori, A E; Nadtochy, P N; Adeev, G D ^[1]

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1. Omsk State University (Russian Federation)

A stochastic approach to describing the dynamics of the nuclear-fission process is applied to study the effect of the number of dimensions on the fission rate within the dynamical model used. The time dependence of the fission rate is calculated on the basis of a multidimensional Langevin equation without taking into account particle evaporation. The one-, two-, and three-dimensional cases are considered for the example of the 'c, h, {alpha}' parametrization of nuclear-surface shapes. The calculations are performed for a large number of compound nuclei whose parameter Z{sup 2}/A falls within the range 20 {<=} Z{sup 2}/A {<=} 40. The stationary level of the fission rate is found to increase considerably upon going over from the one- to the three-dimensional case. This increase is especially pronounced for light fissile nuclei in the vicinity of the Businaro-Gallone point. Also, the stationary fission-rate level obtained from our dynamical simulation is compared with its counterpart calculated by the Kramers formula generalized to the multidimensional case.

• OSTI ID: 21448984
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 12 Vol. 72; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPOUND NUCLEI
EQUATIONS
FISSION
LANGEVIN EQUATION
NUCLEAR REACTIONS
NUCLEI
SIMULATION
STOCHASTIC PROCESSES
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE