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

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