Mass yield of spontaneous fission of 238U within the systematic statistical scission-point model

Abstract

The spontaneous fission fragments mass yield of 238U is calculated with two models: WKB approximation model and statistical scission-point model. The results are compared with experimental data. This shows that the statistical scission-point model results are closer to the experimental data of the spontaneous fission fragments mass distributions than the WKB model. Also, experimental values are obtained by changing the deformation parameter for light fragments. The influence of temperature, deformation parameters, and pairing energy on the spontaneous fission fragments mass yield has been investigated within the statistical scission-point model. Adding the pairing correction energy to the total energy of the fission system adds some oscillations in theoretical results of fission fragments mass yields, also the inclusion of fission fragments temperature regardless of the pairing energy causes some theoretical results to be overestimated compared to the experimental data. It is seen that adding the pairing correction energy with the fragments temperature together leads to acceptable results compared to the experimental values. Therefore, the theoretical results of the systematic modified statistical scission-point model are in good agreement with the experimental values. This shows that although the statistical model is commonly used for the even–even isotopes, all isotopes can be investigated using the modified statistical model.