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A new mode of nuclear fission has been proposed by the FOBOS collaboration,called Collinear Cluster Tri-partition (CCT), suggesting that three heavyfission fragments can be emitted perfectly collinearly in low-energy fission.It is surprising that CCT escaped observation for so long given the relativelyhigh reported yield, of roughly 0.5% relative to binary fission. These claimscall for an independent verification with a different experimental technique.Verification experiments based on direct observation of CCT fragments withfission fragment spectrometers require guidance with respect to the allowedkinetic energy range, which we present in this paper. We discuss correspondingmodel calculations which, if CCT is found in such verification experiments,could indicate how the breakups proceed. We also study the intrinsic stabilityof collinearity. Three different decay models are used, which span together thetimescales of three-body fission. These models are used to calculate thepossible kinetic energy ranges of CCT fragments in 235U(n,f) and 252Cf(sf). Weuse semi-classical trajectory calculations with a Monte-Carlo method to studythe intrinsic stability of collinearity. CCT has a high net Q-value, but in asequential decay, the intermediate steps are energetically and geometricallyunfavorable or even forbidden. Moreover, perfect collinearity is extremelyunstable, and broken by the slightest perturbation. According to our results,the central fragment would be very difficult to detect due to its low kineticenergy, raising the question of why previous experiments could not detect amissing-mass signature corresponding to CCT. We find that a realization of CCTwould require an unphysical fine-tuning of the initial conditions. Our resultsenable independent experimental verification and encourage further criticaltheoretical studies of CCT.

Collinear cluster tri-partition: Kinematics constraints and stability of collinearity