Abstract
The neutron-neutron ($\mathit{nn}$) final-state interaction has been investigated in the $n+d\ensuremath{\rightarrow}p+2n$ reaction in kinematically incomplete geometry at ${E}_{n}=17.4$ MeV, detecting the protons emitted around zero degrees. Absolute cross-section data for the neutron-deuteron breakup reaction were obtained via ($n,d)$ elastic scattering, which was measured simultaneously. The data were analyzed by means of detailed Monte Carlo simulations based on rigorous three-body calculations using CD-Bonn and two other high-quality potentials for the nucleon-nucleon interaction. The breakup spectrum is described very well on an absolute scale over the entire energy range investigated. The value of the $\mathit{nn}$ scattering length deduced from the cross section in the FSI peak is ${a}_{\mathit{nn}}=\ensuremath{-}16.5\ifmmode\pm\else\textpm\fi{}0.9$ fm, where the error indicates the combined statistical and systematic uncertainty.
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