Bell nonlocality and entanglement in $e^{+}e^{-} \rightarrow Y\bar{Y}$ at BESIII

TL;DR

This paper explores quantum nonlocality and entanglement in hyperon-antihyperon systems produced in electron-positron collisions at BESIII, proposing methods and experimental approaches to study these quantum correlations with high-precision data.

Contribution

It introduces a systematic method for analyzing quantum correlations in hyperon-antihyperon systems and compares nonlocality regions with tau lepton systems, proposing experimental tests at BESIII.

Findings

Hyperon polarization restricts nonlocality regions compared to tau systems.

A systematic approach to measure quantum correlations in hyperon-antihyperon systems.

Proposal for experimental detection of entanglement at BESIII.

Abstract

The Bell nonlocality and entanglement are two kinds of quantum correlations in quantum systems. Due to the recent upgrade in Beijing Spectrometer III (BESIII) experiment, it is possible to explore the nonlocality and entanglement in hyperon-antihyperon systems produced in electron-positron annihilation with high precision data. We provide a systematic method for studying quantum correlations in spin-1/2 hyperon-antihyperon systems through the measures for the nonlocality and entanglement. We find that with nonvanishing polarizations of the hyperon and its antihyperon, the kinematic region of nonlocality in the hyperon-antihyperon system is more restricted than the $\tau^{+}\tau^{-}$ system in which polarizations of $\tau$ leptons are vanishing. We also present an experimental proposal to probe the nonlocality and entanglement in hyperon-antihyperon systems at BSEIII.