Testing Local Realism in $P \to VV$ Decays

TL;DR

This paper explores the entanglement and polarization correlations of vector meson pairs from pseudoscalar decays, proposing an experimental test of local realism via the Clauser-Horne inequality in current tau-charm factory experiments.

Contribution

It provides a detailed analysis of polarization correlations in vector meson pairs and proposes a feasible experimental test of Bell inequalities in meson decay processes.

Findings

Entangled states can be formed from vector meson pairs in pseudoscalar decays.

An experimental test of the Clauser-Horne inequality is feasible with current tau-charm factory data.

Discussion on polarization correlations in B to VV decays included.

Abstract

It was found that the vector meson pair from the pseudoscalar decays can form an entangled state. In this work we give out detailed explanations on the polarization correlation of the two entangled vector mesons. It is demonstrated that an experimental test of the Clauser-Horne inequality can be carried out through measuring the azimuthal distribution of four pseudoscalars in the cascade decay $\eta_c \to VV \to (PP)(PP)$, and the measurement of this process is feasible with the current running experiments in tau-charm factory. Moreover, a brief discussion on the polarization correlation of the two vector mesons from $B \to VV$ decays is also presented.