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