Collinear cluster tripartition as sequential binary fission in the ${}^{235}$U(n${}_{\mathrm{th}}$,f) reaction

Abstract

The mechanism leading to the formation of the observed products of the collinear cluster tripartition is carried out within the framework of the model based on the dinuclear system concept. The yield of fission products is calculated using the statistical model based on the driving potentials for the fissionable system. The minima of potential energy of the decaying system correspond to the charge numbers of the products which are produced with large probabilities in the sequential fission (partial case of the collinear cluster tripartition) of the compound nucleus. The realization of this mechanism supposes the asymmetric fission channel as the first stage of sequential mechanism. It is shown that only the use of the driving potential calculated by the binding energies with the shell correction allows us to explain the yield of the true ternary fission products. The theoretical model is applied to research collinear cluster tripartition in the reaction ${}^{235}$U(n${}_{\mathrm{th}}$,f). Calculations showed that in the first stage of this fission reaction, the isotopes ${}^{82}$Ge and ${}^{154}$Nd are formed with relatively large probabilities and in the second stage of sequential fission of the isotope Nd mainly Ni and Ge are formed. This is in agreement with the yield of the isotope ${}^{68}$Ni which is observed as the product of the collinear cluster tripartition in the experiment.

20 pages, 9 figures

References in corpus (1)

• Quasifission and fusion-fission in massive nuclei reactions. Comparison of reactions leading to the Z=120 element

Cited by in corpus (7)

• Examination of evidence for collinear cluster tri-partition
• A study of the almost sequential mechanism of true ternary fission
• Peculiarities of clusters formation in true ternary fission of ${}^{252}$Cf and ${}^{236}$U${}^{\ast }$
• A New Radioactive Decay Mode, True Ternary Fission, the Decay of Heavy Nuclei Into Three Comparable Fragments
• Dynamics of the tri-nuclear system at spontaneous fission of ${}^{252}$Cf
• Nuclear shell effect and collinear tripartition of nuclei
• Suppression of genuine tripartition in heavy nuclei: A self-consistent perspective