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

Abstract

We discuss the possible searching for the oscillation by coherent $\Lambda \bar{\Lambda }$ production in $J/\psi \to \Lambda \bar{\Lambda }$ decay process. The sensitivity of measurement of $\Lambda -\bar{\Lambda }$ oscillation in the external field at BES-III experiment is considered. These considerations indicate an alternative way to probe the $\Delta B=2$ amplitude in addition to neutron oscillation experiments. Both coherent and time-dependent information can be used to extract $\Lambda -\bar{\Lambda }$ 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.

Comments: 4 pages, 1 figure, Talk given at "the 8th symposium on advanced topics of interdisciplinary fields of particle physics, nuclear physics and cosmology", Sichuan province, China, 08/18-08/22, 2009