Abstract
Two recipes for modeling the dynamics of the nuclear fission process are known in literature. The underlying equations contain the driving, dissipative, and random forces. The two recipes are mostly different in the prescriptions for the driving force. In this work we carefully compare these driving forces and the resulting fission rates. It turns out that the rates may be very close or strongly different depending on the value the shell correction to the nuclear deformation energy. We give arguments in favor of one of the recipes.
Highlights
Numerous experiments related to the nuclear fission process [1,2], in particular those aiming for discovering new superheavy elements [3,4,5], require practical and reliable numerical modeling of fission dynamics at low excitation energies
The most important physical quantity characterizing the fission process, not observable, is the fission rate which is by definition
We modeled the fission process applying Equations (3), (4) and the driving forces fI and fII
Summary
Numerous experiments related to the nuclear fission process [1,2], in particular those aiming for discovering new superheavy elements [3,4,5], require practical and reliable numerical modeling of fission dynamics at low excitation energies. How to cite this paper: Gontchar, I.I., et al (2014) Dynamical Modeling of the Nuclear Fission Process at Low Excitation Energies. Note that this method is applied, except [6], for the high excitation energies when the shell correction to the nuclear Potential Energy (V , PE) and to the single particle Level Density Parameter ( a , LDP) is believed does not play a role.
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