The $^{2}\mathrm{H}(p,2p)n$ and $^{2}\mathrm{H}(p,pn)p$ reactions have been investigated simultaneously using the 156 MeV synchrocyclotron beam. Outgoing nucleons were detected in coincidence by a NaI detector and a large liquid scintillation counter providing energy-time-of-flight-biparametric spectra from which the threefold differential cross sections $\frac{{d}^{3}\ensuremath{\sigma}}{d{\ensuremath{\Omega}}_{1}d{\ensuremath{\Omega}}_{2}d{E}_{1}}$ are deduced. For suitable angle pairs, the experimental spectra show either the characteristic quasi-free scattering peak, or the $p\ensuremath{-}p$ or $p\ensuremath{-}n$ final state interaction peaks. The experimental results are compared with various theoretical predictions; i.e., a simple spectator model calculation, off-energy-shell calculations including first and second order terms of a multiple scattering series, with or without the Coulomb interaction, and extension to intermediate energy of a Amado type model. These theoretical calculations are briefly discussed.
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