The Scission-Point Configuration within the Two-Center Shell Model Shape Parameterization

TL;DR

This paper defines the optimal scission-point shape within the two-center shell model, calculates deformation energies, and compares results with experimental data on fission fragment distributions and energies.

Contribution

It introduces a method to determine the scission-point configuration and calculates associated energies, improving understanding of fission fragment properties.

Findings

Reproduces experimental mass distribution peaks

Accurately predicts total kinetic and excitation energies

Overestimates neutron multiplicity slightly

Abstract

Within the two-center shell model parameterization we have defined the optimal shape which fissioning nuclei attain just before the scission and calculated the total deformation energy (liquid drop part plus the shell correction) as function of the mass asymmetry and elongation at the scission point. The three minima corresponding to mass symmetric and two mass asymmetric peaks in the mass distribution of fission fragments are found in the deformation energy at the scission point. The calculated deformation energy is used in quasi-static approximation for the estimation of the total kinetic and excitation energy of fission fragments and the total number of emitted 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.