Collinear cluster tripartition as sequential binary fission in the 235U(nth, f ) reaction

Abstract

The mechanism leading to the formation of the observed products of the collinear cluster tripartition (CCT) 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 CCT) 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 CCT in the reaction 235U(n th, f). Calculations showed that the heavy products of two fission channels of 236U*, 82Ge* + 154Nd* and 86Se* + 150Ce*, can undergo sequential fission forming the CCT products 70Ni, 74, 76Zn, 80Ge and 84Se with relatively large probabilities which can be observed in coincidence with corresponding partner nucleus. The obtained results can explain some of the observed CCT products Ni and Ge in coincidence with the Ge and Se isotopes in the experiments of the FOBOS group in Joint Institute for Nuclear Research.