The $n\ensuremath{-}p$ triple-scattering parameter ${D}_{t}$ has been measured at 197 MeV at three angles. The measurements were made by bombarding a liquid-deuterium target with polarized protons, and spin-analyzing high-energy neutrons recoiling into forward angles. Spin analysis was accomplished by a charge-exchange scattering on C${\mathrm{H}}_{2}$. The measurements are related to the ${D}_{t}$ parameter for free $n\ensuremath{-}p$ scattering through an impulse-approximation calculation which includes the $s$-wave final-state interaction between the incident proton and the proton in the deuteron. Values obtained for the free $\mathrm{np} {D}_{t}$ parameter are: +0.095\ifmmode\pm\else\textpm\fi{}0.068, -0.014\ifmmode\pm\else\textpm\fi{}0.071, and +0.058\ifmmode\pm\else\textpm\fi{}0.103 at free $n\ensuremath{-}p$ center-of-mass scattering angles of 147.4\ifmmode^\circ\else\textdegree\fi{}, and 126.9\ifmmode^\circ\else\textdegree\fi{}, respectively. These values are compared with the phase-shift solutions YLAN of Breit and collaborators, and the energy-independent solution of Arndt and MacGregor. Solutions YLAN 0, 1, 2, 2M, 3, and the Arndt-MacGregor solution do not agree with the data. Solutions YLAN 3M and 4M fit the data quite well.
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