Abstract
We define the optimal shape which fissioning nuclei attain just before the scission and calculate the deformation energy as function of the mass asymmetry at the scission point. The calculated deformation energy is used in quasi-static approximation for the estimation of mass distribution, total kinetic and excitation energy of fission fragments, and the total number of prompt neutrons. The calculated results reproduce rather well the experimental data on the position of the peaks in the mass distribution of fission fragments, the total kinetic and excitation energy of fission fragments. The calculated value of neutron multiplicity is somewhat larger than experimental results. The saw-tooth structure of neutron multiplicity is qualitatively reproduced.
Highlights
In the theory of nuclear fission the quasistatic quantities like the potential energy surface, the ground state energy and deformation, the fission barrier height are commonly calculated within the macroscopic-microscopic method [1, 2]
Having at one’s disposal the shape and the deformation energy at the scission point and assuming the statistical distribution for the population of points in space of deformation parameters we have evaluated the measurables of the fission experiments: the mass distribution, total kinetic and excitation energy of fission fragments, the multiplicity of prompt neutrons
The calculated value of νtot are larger than experimental by (0.5-0.9). The source of this discrepancy can be related to the use of very simple estimate (20) for the neutron multiplicity and use of the quasistatic approximation (12) for the mass distribution
Summary
In the theory of nuclear fission the quasistatic quantities like the potential energy surface, the ground state energy and deformation, the fission barrier height are commonly calculated within the macroscopic-microscopic method [1, 2]. In this method the total energy of the fissioning nucleus consists of two parts, macroscopic and microscopic. In this approach the shape of an axial, left-right symmetric nucleus was defined by the minimization of the liquid-drop energy under the constraints that fix the elongation of the drop and keep the volume constant. Having at one’s disposal the shape and the deformation energy at the scission point and assuming the statistical distribution for the population of points in space of deformation parameters we have evaluated the measurables of the fission experiments: the mass distribution, total kinetic and excitation energy of fission fragments, the multiplicity of prompt neutrons
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