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

TL;DR

This paper explores the potential to detect $\Lambda - ar{\Lambda}$ oscillations in coherent $\Lambdaar{\Lambda}$ states produced by J/ψ decays at BES-III, offering a new approach to study baryon number violation.

Contribution

It proposes a novel method to measure $\Lambda - ar{\Lambda}$ oscillations using J/ψ decay data, providing an alternative to neutron oscillation experiments.

Findings

Potential to set an upper limit of $\delta m_{\Lambda ar{\Lambda}} < 10^{-15}$ MeV

Sensitivity to $\Lambda-ar{\Lambda}$ oscillation time of about 10^{-6} seconds

Demonstrates feasibility of probing $\Delta B=2$ processes in collider experiments

Abstract

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