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We discuss the possible searching for the oscillation by coherent$\Lambda\bar{\Lambda}$ production in $J/\psi \rightarrow \Lambda \bar{\Lambda}$decay process. The sensitivity of measurement of $\Lambda - \bar{\Lambda}$oscillation in the external field at BES-III experiment is considered. Theseconsiderations indicate an alternative way to probe the $\Delta B =2$ amplitudein addition to neutron oscillation experiments. Both coherent andtime-dependent information can be used to extract $\Lambda -\bar{\Lambda}$oscillation parameter. With one year's luminosity at BES-III, we can set anupper limit of $\delta m < 10^{-15}$ MeV at 90% confidence level, correspondingto about $10^{-6}$ s of $\Lam-\Lamb$ oscillation time.

Probe $\Lambda - \bar{\Lambda}$ oscillation in $J/\psi \rightarrow \Lambda\,\bar\Lambda$ decay at BES-III