Study of $\Lambda -\text{Lambdabar}$ Oscillation in quantum coherent $\Lambda \text{Lambdabar}$ state by using J/\psi \to \Lambda \bar{\Lambda}$ decay

Abstract

We discuss the possibility of searching for the $\text{Lam}-\text{Lamb}$ oscillations for coherent $\text{Lam}\text{Lamb}$ production in the J/$\psi \to \text{Lam}\text{Lamb}$ decay process. The sensitivity of measurement of $\text{Lam}-\text{Lamb}$ 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 the $\text{Lam}-\text{Lamb}$ oscillation parameter. With one year's luminosity at BES-III, we can set an upper limit of $\delta m_{\text{Lam}\text{Lamb}}<10^{-15}$ MeV at 90% confidence level, corresponding to about $10^{-6}$ s of $\text{Lam}-\text{Lamb}$ oscillation time.

Comments: 4 pages, no figure, minor corrections to improve grammar, published in Phys.Rev.D as Rapid Communication.