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Experimental differential cross sections from data on the reaction T--$ -+ (r-r-)A++ at beam momenta of 2.7, 3.0, 3.2, 3.9, and 4.2 GeV/c have been extrapolated to the one-pion-e~change pole to obtain the r-relastic scattering cross section. iln attempt is made to correct for background due to kinematic overlap with the competing one-pion-exchange process r-p 4 pO(~-p). Analyses done independently on the data in two beam-momentum groupings at -3.0 and -4.0 GeV/c give consistent results of a roughly constant 7-11-mb cross section for 7r-r--> T-r-over the dipion mass range 440-750 MeV. Our results are compared with available results from other arlalyses and with several theoretical predictions for the T=2 s-wave phase shift So2.

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