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We propose a measurement on the elastic $\pi\pi$ scattering phase shiftdifference $\delta^0_0-\delta^2_0$ through $\Psi'\to J/\Psi \pi^+ \pi^-$process in future high statistics BES-III experiment. The decay amplitude isconstructed with seven Lorentz invariant form-factors and is compared withtheir theoretical estimation. It is found that the phase shift difference canbe obtained, based on a Monte Carlo study and it is expected the phase shift inthe energy region between 350 MeV to 550 MeV can be measured at future BES-III.

Studies on $\pi^+\pi^-$ phase motion in the $\Psi'\to J/\Psi \pi^+ \pi^-$ process