Abstract
Presently, it is well established that fission of excited nuclei is a dynamical process being a subject of fluctuations and dissipation. In the literature, there are indications that, at the compact nucleus shapes, the strength of nuclear friction is significantly reduced in comparison with the prediction of the one-body approach. Thus, one can expect that at small deformations the nuclear fission process occurs in the so-called “energy diffusion regime”. The purpose of our present work is to compare an approximate analytical formula for the fission rate in this regime with the quasistationary numerical rate which is exact within the statistical errors. Our calculations demonstrate relatively good agreement between these two rates provided the friction parameter is deformation independent. If one accounts for its deformation dependence, the agreement becomes significantly poorer.
Highlights
The problem of nuclear friction in the fission process was first addressed by Kramers [1] in 1940 and still remains open [2,3,4,5]
One can expect that the nuclear motion at small deformation happens in the regime which is called in the literature “the energy diffusion regime” [1,14,15,16]
We show the rates obtained with the coordinate-independent friction parameter
Summary
The problem of nuclear friction in the fission process was first addressed by Kramers [1] in 1940 and still remains open [2,3,4,5].On one hand, there seems to be a consensus that its physical origin is the one-body dissipation [5,6,7]. The problem of nuclear friction in the fission process was first addressed by Kramers [1] in 1940 and still remains open [2,3,4,5]. There are some indications that the strength of friction is significantly reduced when the nuclear shape is compact [8,9,10,11,12,13]. One can expect that the nuclear motion at small deformation happens in the regime which is called in the literature “the energy diffusion regime” [1,14,15,16]. An approximate analytical formula for the fission rate in this regime, obtained in [1] and modified in [17], was not carefully compared with the exact quasistationary numerical rate so far. The purpose of our contribution is to perform such a comparison
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