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A set of differential cross section of the three-body $^{2}$H($d$,$dp$)$n$breakup reaction at 160 MeV deuteron beam energy are presented for 147kinematically complete configurations near the quasi-free scatteringkinematics. The experiment was performed at KVI in Groningen, the Netherlandsusing the BINA detector. The cross-section data have been normalized to the$^{2}$H($d$,$d$)$^{2}$H elastic scattering cross section. The data are comparedto the recent single-scattering approximation (SSA) calculations forthree-cluster breakup in deuteron-deuteron collisions. Confronting the SSApredictions with the experimental data shows that SSA provides the correctorder of magnitude of the cross-section data. The studied energy is probablytoo low to meet the SSA assumptions which prevents better accuracy of thedescription.

Studies of the Three-Body Breakup in Deuteron-Deuteron Collisions near the Quasi-Free Limit at 160 MeV