Study of the true ternary fission of ²⁴⁸Cf isotope in equatorial and collinear geometries

Abstract This paper presents a comprehensive investigation of the true ternary fission of the isotope. Using the Three-Cluster Model ( ) based on the approximation, detailed calculations were performed for all possible fragment configurations, considering the equatorial and collinear geometries. The fragment charge numbers ( Z ) were systematically filtered within the range of to , and all combinations were examined for three positional arrangements: fragments , , and occupying the middle position in collinear geometry. For each combination, key quantities were calculated, including driving potential ( ), penetration probability ( P ), relative yield ( Y ), decay constant ( λ ), and half-life ( ). The selection of optimal fragment combinations was based on higher penetration probability or minimum driving potential, ensuring a systematic approach to identifying the most favorable fission configurations. Redundancy from permutations of , , and was eliminated by treating them equivalently. The results highlight the significant influence of fragment geometry and nuclear structure, particularly shell effects, on the fission dynamics. This work provides new insights into the complex mechanisms of true ternary fission, contributing to the broader understanding of nuclear stability and fragment distributions in such processes. The novelty of this study relative to similar research is the investigation of the effects of fragments permutations, geometries, and neutron emission on the fission process.