Abstract
We applied the four-dimensional Langevin approach to the description of fission of 235U by neutrons and calculated the dependence of the excitation energy of fission fragments on their mass number. For this we have fitted the compact just-before-scission configuration obtained by the Langevin calculations by the two separated fragments and calculated the intrinsic excitation and the deformation energy of each fragment accurately taking into account the shell and pairing effects and their dependence on the temperature and mass of the fragments. For the sharing of energy between the fission fragments we have used the simplest and most reliable assumption - the temperature of each fragment immediately after the neck rupture is the same as the temperature of mother nucleus just before scission. The calculated excitation energy of fission fragments clearly demonstrates the saw-tooth structure in the dependence on fragment mass number.
Highlights
One of the most successful approaches to the description of fusion-fission reactions and the fission process is the approach based on the Langevin equations for the shape degrees of freedom
In present work we use the results of the Langevin calculations in order to examine the dependence of fragments excitation energy on the its mass number and, clarify the reason for the saw-tooth structure of neutron multiplicity
The saw-tooth structure in the fragments excitation energy is a natural consequence of shell effects in the deformation and intrinsic excitation energies at low excitations
Summary
One of the most successful approaches to the description of fusion-fission reactions and the fission process is the approach based on the Langevin equations for the shape degrees of freedom. Pashkevich [1] that the deepest valley on the deformation energy surface of heavy nuclei corresponds to the configuration when one "fragment" is almost spherical, and another - very elongated Such configuration corresponds to very low energy due to the large shell correction of almost spherical part (double magic 132Sn) and relatively small Coulomb interaction between spherical and elongated parts. The mean field of Nilsson type was replaced by the Woods-Saxon potential that better reproduces the single-particle energies of heavy nuclei, especially at large deformations Within this approach we have managed to reproduce rather accurately the mass and total kinetic energy distribution of fission fragments. In present work we use the results of the Langevin calculations in order to examine the dependence of fragments excitation energy on the its mass number and, clarify the reason for the saw-tooth structure of neutron multiplicity
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