  A high statistics $\Sigma p$ scattering experiment has been performed at the
J-PARC Hadron Experimental Facility. Data for momentum-tagged $\Sigma^{-}$
running in a liquid hydrogen target were accumulated by detecting the $\pi^{-}p
\to K^{+}\Sigma^{-}$ reaction with a high intensity $\pi^{-}$ beam of 20
M/spill. Differential cross sections of the $\Sigma^{-}p$ elastic scattering
were derived with a drastically improved accuracy by identifying the largest
statistics of about 4,500 events from 1.72 $\times$ $10^{7}$ $\Sigma^{-}$. The
derived differential cross section shows a clear forward-peaking angular
distribution for a $\Sigma^{-}$ momentum range from 470 to 850 MeV/$c$. The
accurate data will impose a strong constraint on the theoretical models of the
baryon-baryon interactions.
